ML083250090
| ML083250090 | |
| Person / Time | |
|---|---|
| Site: | Browns Ferry  |
| Issue date: | 10/31/2008 |
| From: | Teske M Continuum Dynamics |
| To: | Office of Nuclear Reactor Regulation |
| References | |
| CDI 08-15NP | |
| Download: ML083250090 (74) | |
Text
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 5. Results at CLTP The stress intensities and associated stress ratios resulting from the Rev. 4 acoustic/hydrodynamic loads [2] with associated biases and uncertainties factored in, are presented below. The bias due to finite frequency discretization and uncertainty associated with the finite element model itself, are also factored in.
In the following sections the highest maximum and alternating stress intensities are presented to indicate which points, on the dryer experience significant stress concentration and/or modal response (Section 5.1).
The lowest stress ratios obtained by comparing the stresses against allowable values, accounting for stress type (maximum and alternating) and location (on or away from a weld), are also reported (Section 5.2). Finally the frequency dependence of the stresses at nodes experiencing the lowest stress ratios is depicted in the form of accumulative PSDs (Section 5.3).
In each section results are presented both at nominal conditions (no frequency shift) and with frequency shift included. Unless specified otherwise, frequency shifts are generally performed at 2.5% increments.
The tabulated stresses and stress ratios are obtained using a 'blanking' procedure that is designed to prevent reporting a large number of high stress nodes from essentially the same location on the structure. In the case of stress intensities this procedure is as follows. The relevant stress intensities are first computed at every node and then nodes sorted according to stress level. The highest stress node is noted and all neighboring nodes within 10 inches of the highest stress node and its symmetric images (i.e., reflections across the x=0 and y=0 planes) are "blanked" (i.e., excluded from the search for subsequent high stress locations).
Of the remaining nodes, the next highest stress node is identified and its neighbors (closer than 10 inches) blanked. The third highest stress node is similarly located and the search continued in this fashion until all nodes are either blanked or have stresses less than half the highest value on the structure. For stress ratios, an analogous blanking procedure is applied. Thus the lowest stress ratio of a particular type in a 10" neighborhood and its symmetric images is identified and all other nodes in these regions excluded from listing in the table. Of the remaining nodes, the one with the lowest stress ratio is reported and its neighboring points similarly excluded, and so on until all nodes are either blanked or have a stress ratio higher than 4.
The measured CLTP strain gage signals contain significant contributions from non-acoustic sources such as sensor noise, MSL turbulence and pipe bending vibration that contribute to the hoop strain measurements. The ACM analysis does not distinguish between the acoustic and non-acoustic fluctuations in the MSL signals that could lead to sizeable, but fictitious acoustic loads and resulting stresses on the dryer. One way to remove these fictitious loads is to collect data with the system maintained at operating pressure (1000 psi) and temperature, but low (less than 20% of CLTP) flow.
By operating the recirculation pumps at this condition, the background plant noise and vibrations remain present. At these conditions the acoustic loads are known to be negligible so that collected data, referred to as the -1000# data, originate entirely from non-acoustic sources such as sensor noise and mechanical vibrations. This information is valuable since it allows one to now distinguish between the acoustic and non-acoustic content in the CLTP signal and therefore modify the CLTP loads so that only the acoustic component is retained. For consistency, the 1000# strain gage signals are filtered in the same manner as the CLTP data and are fed into the ACM model to obtain the monopole and dipole signals at the MSL inlets. Since there is negligible flow, these signals are fictitious, i.e., the hoop strains 38
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information measured by the strain gages are not due to pressure fluctuations, but rather due to noise.
However, under the supposition that these signals are acoustic in origin the hypothetical stresses due to these signals can nevertheless be computed.
The contribution of background noise in the Browns Ferry Unit 1 steam dryer was quantified by taking strain gage measurements at 9% power. Measurements taken for the BFN1 unit at increasing power levels indicate that the 9% signal measurements provide a conservative estimate of the noise at zero power [21 ]. At this level there are no significant acoustic sources.
To compensate for the non-acoustic noise source represented in the 1000# data, the CLTP MSL inlet pressure signals are modified according to [211]:
P(f)=P0 (f)*max [0.5,1-F(f)]
(8)
L N0(f)]
where f is the frequency (in Hz), P0 (f) is the MSL inlet pressure (monopole or dipole) at CLTP conditions before correction, P(f) is the corresponding post-correction pressure and N(f) and e0(f) are averaged pressure amplitudes associated with the 1000# data and CLTP data respectively. Specifically, I f+l Of(f)=2-fI Po(f)I df (9) where IPO(f)I denotes the absolute value of the complex quantity. Hence P0(f) is the average amplitude of the CLTP pressure in the +/- 1 Hz interval about frequency, f. The same definition, but using the 1000# pressure signal, is used for N(f). Note that this modification leaves the phase information in the original CLTP signal unchanged.
The applied load includes all biases and uncertainties for both the ACM (summarized in [2])
and the FEM. Forthe latter there are three main contributors to the bias and uncertainty. The first is an uncertainty (25.26%) that accounts for modeling idealizations (e.g., vane bank mass model), geometrical approximations and other discrepancies between the modeled and actual dryer such as neglecting of weld mass and stiffness in the FEA. The second contributor is a bias (9.53% - note that this has been increased from the 5.72% value previously used in [4])
accounting for discretization errors associated with using a finite size mesh, upon computed stresses. The third contributor is also a bias and compensates for the use of a finite discretization schedule in the construction of the unit solutions. The frequencies are spaced such that at 1%
damping the maximum (worst case) error in a resonance peak is 5%. The average error for this frequency schedule is 1.72%.
5.1 General Stress Distribution and High Stress Locations The maximum stress intensities obtained by post-processing the ANSYS stress histories for CLTP at nominal frequency and with frequency shift operating conditions are listed in Table 7.
Contour plots of the stress intensities over the steam dryer structure are shown on Figure 12 (nominal frequency) and Figure 13 (maximum stress over all nine frequency shifts including 39
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information nominal). The figures are oriented to emphasize the high stress regions. Note that these stress intensities do not account for weld factors but include end-to-end bias and uncertainty and incorporate results from submodeling (see Section 4.5). Further, it should be noted that since the allowable stresses vary with location, stress intensities do not necessarily correspond to regions of primary structural concern. Instead, structural evaluation is more accurately made in terms of the stress ratios which compare the computed stresses to allowable levels with due account made for stress type and weld factors and also account for stress corrections obtained using high-detail solid element submodels. Comparisons on the basis of stress ratios are made in Section 5.2.
The maximum stress intensities in most areas are low (less than 500 psi, or 5% of the most conservative critical stress). For the membrane stresses (Pm) the high stress regions tend to occur at: (i) the restraint locations for the upper support ring and (ii) the upper edges of the closure plates.
The first location is a very localized stress location and is believed to be significantly overestimated as a 'hot-spot' in the FEA. It experiences high stresses since the entire weight of the structure is transmitted through relatively small pads to the external structure. This stress is dominated by the static component. The closure plates experience high stresses since they restrain any motion of the adjacent vane banks.
Other locations with Pm>2000 psi include the bottom of the outer hood end plate, the bottoms of the hood/hood support/base plate junctions and the connections between the bottom support beam spanning the dryer, and the vane banks (see Figure 12b). Frequency shifting does not significantly alter the high Pm stress locations, again due to the dominance of the static (deadweight) load.
The membrane + bending stress (Pm+Pb) distributions evidence a stronger modal response.
Modal excitations are most pronounced on the skirt.
Stress concentrations are observed at several locations coinciding with welds. The first pair of highest stress locations is the same as where for the highest membrane stresses and lies near the dryer supports. Note that these stresses occur in solid elements where no distinction is made between the membrane and bending stresses (this distinction is only appropriate for thin members such as shell and beam elements).
The next set of locations (exemplified by the 3rd and 4th entries in Table 7a) involves the closure plate connections to the hoods or vane bank end plates.
These stresses also appear to be dominated by the static component since alternating stresses are comparatively low. The drain channel/skirt weld shows up as the 5th entry in Table 7a and the 4 th entry in Table 7b. These stresses contain a strong alternating stress contribution as discussed below.
Other locations where Pm+Pb stresses exceed the 1000 psi level include the bottom corners of the outer hood and the connections of the spanning support beam to the vane banks. These locations also had significant membrane stresses. Finally the regions about the tie bar bases and bottoms of the drain channel/skirt welds have significant Pm+Pb stress intensities which are mostly due to vibratory response to the acoustic loads.
The alternating stress distributions in Figure 12 and Figure 13 indicate that these stresses are below 500 psi over most of the dryer.
The submerged skirt, though not exposed to direct acoustic forcing, evidences a modal response due to coupling with the upper steam dryer structure subjected to acoustic loads. The highest alternating stress intensities occur on the large middle plate spanning the dryer at its center section. Other nodes appearing in the Table 7b include: (i) the base of the old tie bar remnant that will be left in place to help support the steam dam; (ii) the connection between a mid-height tie bar to the perforated plate on the vane bank 40
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information and (iii) the bottom of the weld joining the drain channel and skirt. For the middle plate and locations (i)-(ii) the stress intensities when considering all frequency shifts are no higher than 15% above the values at zero shift. For the drain channel/skirt weld however, the highest stress intensity increases by approximately 23% from 1830 psi at zero shift to 2256 psi at +5% shift, so that the stress (2360 psi) at the +7.5% shift corresponds to a 47% increase.
Finally, for reference the highest stress intensities at any frequency shift for the locations in Table 7b are recomputed using the CLTP loads without noise removal and reported in Table 7c.
41
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 7a. Locations with highest predicted stress intensities at CLTP conditions at zero frequency shift. Signal noise has been removed using 9% power data.
Stress Location Weld Location (in)(a) node(b)
Stress Intensities (psi)
Category x
y z
Pm Pm+Pb Salt Pm Upper Support Ring (USR)/Seismic Block/Support Part No 122.1
-10
-9.5 122062 7863 7863 1922 USR part/Support/Support Part No 7
122.3
-9.5 122280 6865 6865 1643 Top Cover Inner Hood/Middle Closure Plate/Inner Hood Yes
-31.5
-108.4 88.9 91141 5935 6807 1201 Top Cover Middle Hood/Outer Closure Plate/Middle Hood Yes 62.5
-85 88.9 90137 4101 4435 1731 Splice Bar/USR Part Yes
-2.2
-119 0
122330 3855 3855
<500 Pm+Pb USR/Seismic Block/Support Part No 122.1
-10
-9.5 122062 7863 7863 1922 USR part/Support/Support Part No 7
122.3
-9.5 122280 6865 6865 1643 l Top Cover Inner Hood/Middle Closure Plate/Inner Hood Yes
-31.5
-108.4 88.9 91141 5935 6807 1201 Top Cover Middle Hood/Outer Closure Plate/Middle Hood Yes 62.5
-85 88.9 90137 4101 4435 1731 Submerged Drain Channel/Skirt Yes
-91 76.7
-98.5 98049 322 4401 1080 Salt Mid Plate No 0
-3.9 88.2 23883 186 2623 2410 Remaining tie bar base (outer hood)
No 83.8 31.8 88.9 97110 197 2390 2284 Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar Yes
-77 9.6 62.9 107135 451 2215 2147 USR Seismic Block No 122.1
-10
-9.5 122062 7863 7863 1922 Submerged Skirt/Drain Channel(c)
Yes
-11.5 118.4
-100.5 98156 829 3369 1830 Notes for Table 7 and Table 8.
(a) Spatial coordinates are in a reference frame whose origin is located at the intersection of the steam dryer centerline and the plane containing the base plates (this plane also contains the top of the upper support ring and the bottom edges of the hoods). The y-axis is parallel to the hoods, the x-axis is normal to the hoods pointing from MSL C/D to MSL A/B, and the z-axis is vertical, positive up.
(b) Node numbers are retained for further reference.
(c) In accordance with [20], the nominal stress intensities at the drain channel/skirt junction are multiplied by 0.58.
(d) In accordance with [20], the nominal stress intensities at the inner hood/hood support/middle base plate junction are multiplied by 0.79.
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This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 7b. Locations with highest predicted stress intensities taken over all frequency shifts at CLTP conditions. Signal noise has been removed using 9% power data.
Stress Location Weld Location (in)(a) node(b)
Stress Intensities (psi) % Freq.
Category x
y z
Pm Pm+Pb Salt Shift Pm USR/Seismic Block/Support Part No 122.1
-10
-9.5 122062 7982 7982 2142 2.5 USR part/Support/Support Part No 7
122.3
-9.5 122280 7049 7049 2046 2.5 Top Cover Inner Hood/Middle Closure Yes 31.5 108.4 88.9 95881 6100 6722 1422 7.5 Plate/Inner Hood Top Cover Middle Hood/Outer Closure Yes
-62.5 85 88.9 90897 4312 4878 2279 7.5 Plate/Middle Hood Middle Base Plate/Hood Support/Inner Hood(d)
Yes 39.8
-59.8 0
104843 4160 4183 2251 7.5 Pm+Pb USR/Seismic Block/Support Part No 122.1
-10
-9.5 122062 7982 7982 2142 2.5 USR part/Support/Support Part No 7
122.3
-9.5 122280 7049 7049 2046 2.5 Top Cover Inner Hood/Middle Closure Yes
-31.5
-108.4 88.9 91141 6075 6960 1435 5
Plate/Inner Hood Submerged Drain Channel/Skirt Yes 91
-76.7
-98.5 98688 350 4943 1626 7.5 Top Cover Middle Hood/Outer Closure Yes
-62.5 85 88.9 90897 4312 4878 2279 5
Plate/Middle Hood Salt Mid Plate No 0
-3.9 88.2 23883 194 2950 2694
-5 Mid Bottom Perf Exit/Mid Top Perf. Plate Yes 77 9.6 62.9 106852 455 2547 2459 7.5 Exit/Tie Bar Remaining tie bar base (outer hood)
No 83.8 31.8 88.9 97110 252 2390 2284 0
Top Cover Middle Hood/Outer Closure Yes
-62.5 85 88.9 90897 4312 4878 2279 10 Plate/Middle Hood Submerged Drain Channel/Skirt"c)
Yes 11.5
-118.4
-100.5 98802 868 3855 2256 5
See Table 7a for notes (a)-(d).
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This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 7c. Highest stress intensities at any frequency shift for the nodes listed in Table 7b computed using the unfiltered CLTP loads (i.e., signal noise has not been removed).
Stress Location Weld Location (in)(a) node(b)
Stress Intensities (psi)
% Freq.
Category x
y z
Pm Pm+Pb Salt Shift Pm USR/Seismic Block/Support Part No 122.1
-10
-9.5 122062 8310 8310 2401 7.5 USR part/Support/Support Part No 7
122.3
-9.5 122280 7116 7116 2120 2.5 Top Cover Inner Hood/Middle Closure Yes 31.5 108.4 88.9 95881 6393 7106 1614 7.5 Plate/Inner Hood Top Cover Middle Hood/Outer Closure Yes
-62.5 85 88.9 90897 4742 5469 2724 5
Plate/Middle Hood Middle Base Plate/Hood Support/Inner Hood(d)
Yes 39.8
-59.8 0
104843 4588 4625 2659 5
Pm+Pb USR/Seismic Block/Support Part No 122.1
-10
-9.5 122062 8310 8310 2401 7.5 USR part/Support/Support Part No 7
122.3
-9.5 122280 7116 7116 2120 2.5 Top Cover Inner Hood/Middle Closure Yes
-31.5
-108.4 88.9 91141 6289 7219 1708 5
Plate/Inner Hood Submerged Drain Channel/Skirt Yes 91
-76.7
-98.5 98688 393 5121 1769 7.5 Top Cover Middle Hood/Outer Closure Yes
-62.5 85 88.9 90897 4742 5469 2724 5
Plate/Middle Hood Salt Mid Plate No 0
-3.9 88.2 23883 203 3505 3180
-5 Mid Bottom Perf Exit/Mid Top Perf. Plate Yes 77 9.6 62.9 106852 502 2844 2722 7.5 Exit/Tie Bar Remaining tie bar base (outer hood)
No 83.8 31.8 88.9 97110 355 3203 2993 0
Top Cover Middle Hood/Outer Closure Yes
-62.5 85 88.9 90897 4742 5469 2724 10 Plate/Middle Hood Submerged Drain Channel/Skirt(c)
Yes 11.5
-118.4
-100.5 98802 1046 4377 2765 5
See Table 7a for notes (a)-(d).
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This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
X Y
Pm [psi]
7500 6750 6000 5250 4500 3750 3000 2250 1500 750 0
Figure 12a. Contour plot of maximum membrane stress intensity, Pm, for CLTP load. The maximum stress intensity is 7,863 psi. First view.
45
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Y
Pm [psi]
7500 6750 6000 S5250 4500 3750 3000 2250 1500 750 0
Figure 12b. Contour plot of maximum membrane stress intensity, Pm, for CLTP load. Second view from below.
46
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
X Pm+Pb [psi]
7500 6750 6000 5250 4500 3750 3000 2250 1500 750 0
Figure 12c. Contour plot of maximum membrane+bending stress intensity, Pm+Pb, for CLTP load. The maximum stress intensity is 7,863 psi. First view.
47
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Y
Pm+Pb [psi]
7500 6750 6000 5250 4500 3750 3000 2250 1500 750 0
Figure 12d. Contour plot of maximum membrane+bending stress intensity, Pm+Pb, for CLTP load. Second view from below.
48
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
Salt [psi]
2500 2250 2000 1750 1500 1250 1000 750 500 250 Figure 12e. Contour plot of alternating stress intensity, Salt, for CLTP load. The maximum alternating stress intensity is 2,410 psi.
49
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Y
x__
Salt [psi]
2500 2250 2000 1750 1500 1250 1000 750 500 250 Figure 12f. Contour plot of alternating stress intensity, Salt, for CLTP load. Second view from below.
50
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
Pm [psi]
7500 6750 6000 5250 4500 3750 3000 2250 1500 750 0
Figure 13a. Contour plot of maximum membrane stress intensity, Pm, for CLTP operation with frequency shifts. The recorded stress at a node is the maximum value taken over all frequency shifts. The maximum stress intensity is 7,982 psi.
51
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Y
Pm [psi]
7500 6750 6000 5250 4500 3750 3000 2250 1500 750 0
Figure 13b. Contour plot of maximum membrane stress intensity, Pm, for CLTP operation with frequency shifts. The recorded stress at a node is the maximum value taken over all frequency shifts. Second view from below.
52
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
Figure 13c. Contour plot of maximum membrane+bending stress intensity, Pm+Pb, for CLTP operation with frequency shifts. The recorded stress at a node is the maximum value taken over all frequency shifts. The maximum stress intensity is 7,982 psi.
First view.
53
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Y
Pm+Pb [psi]
7500 6750 6000 5250 4500 3750 3000 2250 1500 750 0
Figure 13d. Contour plot of maximum membrane+bending stress intensity, Pm+Pb, for CLTP operation with frequency shifts. This second view from beneath reveals high stress and modal response of interior hood supports.
54
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
Pm+Pb [psi]
7500 6750 6000 5250 4500 3750 3000 2250 1500 750 0
Figure 13e. Contour plot of alternating stress intensity, Salt, for CLTP operation with frequency shifts. The recorded stress at a node is the maximum value taken over all frequency shifts. The maximum alternating stress intensity is 2,694 psi.
55
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Y
2 Salt [psi]
2750 2500 2250 2000 1750 1500 1250 1000 750 500 250 Figure l3f. Contour plot of alternating stress intensity, Salt, for CLTP operation with frequency shifts. The recorded stress at a node is the maximum value taken over all frequency shifts. Second view from below.
56
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 5.2 Load Combinations and Allowable Stress Intensities The stress ratios computed for CLTP at nominal frequency and with frequency shifting are listed in Table 8. The stress ratios are grouped according to type (SR-P for maximum membrane and membrane+bending stress, SR-a for alternating stress) and location (away from welds or on a weld). The tabulated nodes are also depicted in Figure 14 (no frequency shift) and Figure 15 (all frequency shifts included). The plots corresponding to maximum stress intensities depict all nodes with stress ratios SR-P_<4, whereas the plots of alternating stress ratios display all nodes with SR-a_<4 or, in some cases, SR-a_<5 as indicated.
For CLTP operation at nominal frequency the minimum alternating stress ratio is SR-a=3.20, and occurs on the weld joining the mid-height tie bar to the outer hood exit perforated plate.
When all frequency shifts are included the minimum alternating stress reduces by 13% to SR-a=2.79 and occurs at the same location. The leading alternating stress locations in Table 8b generally occur on: (i) closure plates where they connect to a hood; (ii) the bottom of the weld joining the drain channel to the skirt; (iii) the connection of the mid-height interior tie bar to the vane bank and (iv) intersection between the hood, hood support and base plate. The 3 rd and 4th nodes in the table correspond to nodes whose computed stresses have been revised to reflect the results from detailed submodeling analysis [20].
The minimum stress ratio due to maximum stress intensity at no frequency shift is SR-P=1.57 and occurs on the middle closure plate connecting to the inner hood; it reduces to 1.52 when all frequency shifts are included. All of these locations lie on welds.
Compared to previous stress analysis of the BFN1 steam dryer, the addition of the modified tie bars with widened and tapered ends has eliminated virtually all of the high stress areas previously associated with old tie bar bases resulting in stress ratios SR-a>3.6 for the welds on the ends of these tie bars.
Finally, the highest stress intensities (and lowest stress ratios) at any frequency shift for the locations in Table 8b are recomputed using the CLTP loads without noise removal and reported in Table 8c.
In summary, the lowest alternating stress ratio (and the only one below SR-a<3.0) occurs where the mid-height interior tie bar connects to the outer vane at the +7.5% frequency shift.
The lowest value at any frequency shift is SR-a=2.79 indicating that stresses are well below allowable levels. The lowest stress ratio associated with a maximum stress is SR-P=1.52. This value is dominated by the static component and is only weakly altered by acoustic loads. Since acoustic loads scale roughly with the square of the steam flow, it is reasonable to anticipate that under EPU conditions where the square of the steam flow increases by 35% the limiting stress ratio would reduce from 2.79 to 2.79/1.35=2.07, which given that the applied loads already account for all end-to-end biases and uncertainties, still contains sufficient margin for sustained EPU operation.
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This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 8a. Locations with minimum stress ratios for CLTP conditions with no frequency shift. Signal noise is removed using 9%
power data. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 14.
Stress Weld Location Location (in. (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 122062 7863 7863 1922 2.15 6.43
- 2. USR part/Support/Support Part 7
122.3
-9.5 122280 6865 6865 1643 2.46 7.53
- 3. Middle Closure Plate
-33.9
-108.4 88.9 7274 5392 5632 1028 3.13 12.03 SR-a No NONE SR-a > 5 at all non weld nodes SR-P es>
- 1. Top Cover nne Hoodliddle Closure
-31.5
-108.4.
88.9
>91141 S935 6807 121 5.72k SPlate/inner Hood
- 2. Top Cover Middle Hood/Outer Closure 62.5
-85 88.9 90137 4101 4435 1731 2.27 3.97 Plate/Middle Hood
- 3. Splice Bar/USR Part
-2.2
-119 0
122330 3855 3855
<500 2.41
>13
- 4. Straddle 6.1 118.8
-12.5 120708 3768 3768
<500 2.47
>13
- 5. Middle Base Plate/Hood Support/Inner Hood(d) 39.8
-59.8 0
104843 3708 3852 1809 2.51 3.8
- 6. Outer Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
101377 2993 3221 1745 3.11 3.94
- 7. Submerged Drain Channel/Skirt(c)
-91 76.7
-98.5 98049 322 4401 1080 3.17 6.36 See Table 7a for notes (a)-(d).
58
This Document'Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 8a (cont.). Locations with minimum stress ratios for CLTP conditions with no frequency shift. Signal noise is removed using 9% power data. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 14.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-a Yes
- 1. Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar
-77 9.6 62.9 107135 451 2215 2147 6.3 3.2 of
- 2. Submerged Drain Channel/Skirt(c)
-11.5 118.4
-100.5 98156 829 3369 1830 4.14 3.75
- 3. Middle Base Plate/Hood Support/Inner Hood(d) 39.8
-59.8 0
104843 3708 3852 1809 2.51 3.8 1 4. Top Cover Middle Hood/Tie Bar Base Thin
-55.5 31.4 88.9 89960 405 1865 1806 7.48 3.8
- 5. Outer Hood/Mod Base 93.5
-24.1 84.3 91337 333 2067 1804 6.75 3.81
- 6. Outer Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
101377 2993 3221 1745 3.11 3.94
- 7. Top Cover Middle Hood/Outer Closure Plate/Middle Hood 62.5
-85 88.9 90137 4101 4435 1731 2.27 3.97
- 8. Remaining tie bar (outer hood)/tie bar base 81.5 31.4 88.9 132385 1818 1818 1721 5.11 3.99 See Table 7a for notes (a)-(d).
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This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 8b. Locations with minimum stress ratios at CLTP conditions with frequency shifts. Signal noise is removed using 9% power data. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 15.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 122062 7982 7982 2142 2.12 5.77 2.5
- 2. USR part/Support/Support Part 7
122.3
-9.5 122280 7049 7049 2046 2.4 6.04 2.5
- 3. Middle Closure Plate
-33.9
-108.4 88.9 7274 5531 5800 1247 3.06 9.91 5
SR-a No NONE SR-a > 4 at all non weld nodes SRl-P`
- Yes,
- 1. Top Cover Inne',Hood/Middle',
34'.5' 108.4ý '-89.91
>95881 6100
>6722, 1422 1.52~ 4.83
-7.5
- 2. Top Cover Middle Hood/Outer
-62.5 85 88.9 90897 4312 4878 2279 2.16 3.01 7.5 Closure Plate/Middle Hood
- 3. Middle Base Plate/Hood 39.8
-59.8 0
104843 4160 4183 2251 2.23 3.05 7.5 Support/Inner Hood(d)
- 4. Splice Bar/USR Part
-2.2
-119 0
122330 4032 4032 541 2.31 12.7 2.5
- 5. Splice Bar/Straddle
-6
-117.8
-9.5 122087 3860 3860 698 2.41 9.84 2.5
- 6. Submerged Drain Channel/Skirt 91
-76.7
-98.5 98688 350 4943 1626 2.82 4.22 7.5
- 7. Submerged Drain Channel/Skirt(c)
-91 76.7
-100.5 98024 1044 4637 1729 3.01 3.97 10
- 8. Outer Base Plate/Hood 70.8
-54.6 0
101377 2993 3347 1851 3.11 3.71 0
Support/Middle Hood
- 9. Cover Plate/Outer End Wall
-102 67.8 0
92660 2237 4209 769 3.31 8.93 2.5 Ext/Outer End Wall/Hood Mod See Table 7a for notes (a)-(d).
60
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 8b (cont.). Locations with minimum stress ratios at CLTP conditions with frequency shifts. Signal noise is removed using 9%
power data. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 15.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-a Yes
- 1. Mid Bottom Perf. Plate Exit/Mid Top 77 9.6 62.9 106852 455 2547 2459 5.47 2.79 7.5 Perf. Plate Exit/Tie Bar
- 2. Top Cover Middle Hood/Outer
-62.5 85 88.9 90897 4312 4878 2279 2.16 3.01 10 Closure Plate/Middle Hood
- 3. Submerged Drain Channel/Skirt(c) 11.5
-118.4
-100.5 98802 868 3855 2256 3.62 3.04 5
- 4. Middle Base Plate/Hood Support/Inner 39.8
-59.8 0
104843 4160 4183 2251 2.23 3.05 7.5 Hood(d)
- 5. Mid Bottom Perf Exit/Mid Top Perf.
15 19.9 62.9 105753 350 2438 2178 5.72 3.15 5
Exit/Tie Bar
- 6. Submerged Drain Channel/Skirt 11.5
-118.4
-98.5 98859 252 4186 2117 3.33 3.24 7.5
- 7. Middle Closure Plate/Inner Hood 35.8 108.4 38 94004 775 2269 2101 6.14 3.27
-2.5
- 8. Top Cover Inner Hood/Middle Closure 31.5
-108.4 88.9 97835 4588 4911 2037 2.03 3.37 5
Plate/Inner Hood
- 9. Outer Hood/Mod Base 93.5 24.1 84.3 95706 327 1999 1997 6.98 3.44 5
- 10. Inner Base Plate/Tbar 0.8 0
0 93153 1911 2174 1988 4.86 3.46
-5 See Table 7a for notes (a)-(d).
61
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 8c. Minimum stress ratios at any frequency shift for the nodes listed in Table 8b computed using the unfiltered CLTP loads (i.e., signal noise has not been removed). Locations are depicted in Figure 15.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 122062 8310 8310 2401 2.03 5.15 7.5
- 2. USR part/Support/Support Part 7
122.3
-9.5 122280 7116 7116 2120 2.37 5.83 2.5
- 3. Middle Closure Plate
-33.9
-108.4 88.9 7274 5731 6011 1466 2.95 8.43 5
SR-a.
No NONE SR-a > 4 at all non weld nodes SR-P'ý -Yes
- 1. Top Co-ver Inner Hood/MiddleJ 31.5 108.4 8 188.9 95881.
6393; 7106 1614' 1.45 4.26 10 Closure Plti/lInner Hood
- 2. Top Cover Middle Hood/Outer
-62.5 85 88.9 90897 4742 5469 2724 1.96 2.52 10 Closure Plate/Middle Hood
- 3. Middle Base Plate/Hood 39.8
-59.8 0
104843 4588 4625 2659 2.03 2.58 10 Support/Inner Hood(d)
- 4. Splice Bar/UJSR Part
-2.2
-119 0
122330 4069 4069 577 2.28 11.90 5
- 5. Splice Bar/Straddle
-6
-117.8
-9.5 122087 3902 3902 743 2.38 9.24 2.5
- 6. Submerged Drain Channel/Skirt 91
-76.7
-98.5 98688 393 5121 1769 2.72 3.88 10
- 7. Submerged Drain Channel/Skirt(c)
-91 76.7
-100.5 98024 1159 4987 2238 2.79 3.07
-2.5
- 8. Outer Base Plate/Hood 70.8
-54.6 0
101377 3783 4409 2930 2.46 2.34 10 Support/Middle Hood
- 9. Cover Plate/Outer End Wall
-102 67.8 0
92660 2268 4265 838 3.27 8.20 2.5 Ext/Outer End Wall/Hood Mod See Table 7a for notes (a)-(d).
62
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 8c (cont.). Minimum stress ratios at any frequency shift for the nodes listed in Table 8b computed using the unfiltered CLTP loads (i.e., signal noise has not been removed). Locations are depicted in Figure 15.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-a Yes
- 1. Mid Bottom Perf Plate Exit/Mid Top 77 9.6 62.9 106852 502 2844 2722 4.90 2.52 7.5 Perf. Plate Exit/Tie Bar
- 2. Top Cover Middle Hood/Outer
-62.5 85 88.9 90897 4742 5469 2724 1.96 2.52 10 Closure Plate/Middle Hood
- 3. Submerged Drain Channel/Skirt(c) 11.5
-118.4
-100.5 98802 1046 4377 2765 3.19 2.48 5
- 4. Middle Base Plate/Hood Support/Inner 39.8
-59.8 0
104843 4588 4625 2659 2.03 2.58 10 Hood(d)
- 5. Mid Bottom Perf Exit/Mid Top Perf.
15 19.9 62.9 105753 379 2859 2560 4.88 2.68 5
Exit/Tie Bar
- 6. Submerged Drain Channel/Skirt 11.5
-118.4
-98.5 98859 314 4442 2393 3.14 2.87 7.5
- 7. Middle Closure Plate/Inner Hood 35.8 108.4 38 94004 800 2573 2402 5.42 2.86
-2.5
- 8. Top Cover Inner Hood/Middle Closure 31.5
-108.4 88.9 97835 4942 5289 2384 1.88 2.88 5
Plate/Inner Hood
- 9. Outer Hood/Mod Base 93.5 24.1 84.3 95706 349 2249 2168 6.20 3.17 5
- 10. Inner Base Plate/Tbar 0.8 0
0 93153 2160 2489 2321 4.30 2.96
-5 See Table 7a for notes (a)-(d).
63
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 14a. Locations of smallest maximum stress ratios, SR-P_<4, at non-welds for nominal CLTP operation. Numbers refers to the enumerated locations for SR-P values at non-welds in Table 8a.
64
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Z
SR-P (weld) 3.9 3.6 3.3 3
2.7 2.4 2.1 1.8 1.5 Figure 14b. Locations of smallest maximum stress ratios, SR-P<4, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 8a.
First view showing locations 1-3.
65
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x SR-P (weld) 3.9 3.6 3.3 3
2.7 2.4 2.1 1.8 1.5 Figure 14c. Locations of smallest maximum stress ratios, SR-P<4, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 8a.
Second view showing locations 4-7.
66
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 14d. Locations of minimum alternating stress ratios, SR-a_<5, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 8a. First view showing locations 1, 4, 5, 7 and 8.
67
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 14e. Locations of minimum alternating stress ratios, SR-a<5, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 8a.
Second view showing locations 2, 3 and 6.
68
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
Y SR-P (no weld) 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 Figure 15a.
Locations of minimum stress ratios, SR-P_4, associated with maximum stress intensities at non-welds for CLTP operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-P values at non-welds in Table 8b.
69
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
SR-P (weld) 3.9 3.6 3.3 3
2.7 2.4 2.1 1.8 1.5 Figure 15b.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 8b. This view shows locations 1, 2, 5 and 6.
70
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Z
SR-P (weld) 3.9 3.6 3.3 3
2.7 2.4 2.1 1.8 1.5 Figure 15c.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 8b. This view shows locations 3, 4 and 6-9.
71
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Z
Y SR-a (weld) 2 4.9 4.7 4.5 4.3 4.1 3.9 7
3.7 S 3.5 S 3.3 3.1 2.9 2.7 Figure 15d.
Locations of minimum alternating stress ratios, SR-a<5, at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 8b. This view shows locations 1, 2, 5, 7 and 8.
72
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15e.
Locations of minimum alternating stress ratios, SR-a<5, at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 8b. This view shows locations 3-6, 9 and 10.
73
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 5.3 Frequency Content The frequency contribution to the stresses can be investigated by examining the power spectral density (PSD) curves and accumulative PSDs for selected nodes having low alternating stress ratios. The accumulative PSDs are computed directly from the Fourier coefficients as Y*)n Z(°n)=
k=l (1 k where (00k) is the complex stress harmonic at frequency, Ok. Accumulative PSD plots are useful for determining the frequency components and frequency ranges that make the largest contributions to the fluctuating stress.
Unlike PSD plots, no "binning" or smoothing of frequency components is needed to obtain smooth curves. Steep step-like rises in Y(o0) indicate the presence of a strong component at a discrete frequency whereas gradual increases in the curve imply significant content over a broader frequency range.
From Parsival's theorem, equality between (0WN) (where N is the total number of frequency components) and the RMS of the stress signal in the time domain is established.
The selected nodes are the ones having the lowest alternating stress ratios (at a weld) in Table 8b. These are:
Node 106,852 - this node has the lowest alternating stress ratio and is located on the common intersection of two welds: (i) the weld connecting the interior tie bar to the thick perforated exit flow plate and (ii) the weld joining the thick and thin perforated exit flow plates. The associated PSDs are shown in Figure 16a.
Node 90,897 - located at the top of the weld connecting the middle hood and closure plate.
The associated PSDs are shown in Figure 16b.
Node 98,802 - located at the bottom of the drain channel/skirt weld. The associated PSDs are shown in Figure 16c.
Node 104,843 -located at common junction between the bottom edge of the inner hood, the middle base plate and the inner hood support. The associated PSDs are shown in Figure 16d.
In each case, since there are six stress components and up to three different section locations for shells (the top, mid and bottom surfaces), there is a total of 18 stress histories per component.
Moreover, at junctions there are at least two components that meet at the junction. The particular stress component that is plotted is chosen as follows. First, the component and section location (top/mid/bottom) is taken as the one that has the highest alternating stress. This narrows the selection to six components. Of these, the component having the highest Root Mean Square (RMS) is selected.
In all four cases the responses are dominated by a peak at 49-50 Hz indicating that this is the main contributor to overall alternating stresses. This is corroborated by the accumulative PSD curves. Significant contributions to the stresses also occur at two other frequencies: 19-21 Hz (a significant contributor to node 90897) and 59-62 Hz. Peaks at these frequencies are also visible 74
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information in all of the plotted PSDs. Finally, shifting the frequency of the applied load shifts does not seem to shift the 49-50 Hz peak significantly indicating that the same structural modes are being excited by the shifted signal. For these nodes, virtually all of the significant stress contributions occur below 70 Hz as can be inferred from the accumulative PSD plots.
75
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 106852, azz 350 E
300 A
A 250 200 150 100 No h ift
+7.5% shift 50 0
50 100 150 200 0
250 Frequency [ Hz]
Node 106852, azz 10 5 10 4
T ---
-T a
Noshif C,,
W~
U) 1000 100 10 0.1 0.01 0
50 100 150 200 250 Frequency [ Hz ]
Figure 16a. Accumulative PSD and PSD curves of the azz stress response at node 106,852.
76
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 90897, a 350 T -
t......
U) cc, EE 300 250 200 150 100
[o shif 50 0
L --
50 100 150 200 0
250 Frequency [ Hz]
Node 90897, axx cin U) a-,
Cfl U) a),
10 5 104 1000 100 10 0.1 0.01 L I.' ----
..... Il.------------- - - -i ---
50 100 150 200 0
250 Frequency [ Hz ]
Figure 16b. Accumulative PSD and PSD of the cxx stress response at node 90,897.
77
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 98802, rYY U)
EE 600 500 400 300 200 100 0
-r
-No shift 0
+5% shift 150 200 50 100 0
250 Frequency [ Hz]
Node 98802, o YY CL, U)
Q-10 5 104 1000 100 10 1
0.1 0.01
[ 0[15 I0 50 10O0 150 200 0
250 Frequency [ Hz ]
Figure 16c. Accumulative PSD and PSD of the cyy stress response at node 98,802.
78
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 104843, a_
C,,
EE 500 400 300 200 100 0
T No shift
+7.5% shift
-r
.£ 50
-i 0
100 150 200 250 Frequency [ Hz]
Node 104843 axx N
I C,,a-0 U,
C,,
C,,
U) 10 5 104 1000 100 10 0.1 0.01 0
50 100 150 200 250 Frequency [ Hz ]
Figure 16d. Accumulative PSD and PSD of the axx stress response at node 104,843.
79
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 6. Results at Predicted EPU Using Bump Up Factors
[(3 (3)))
80
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
((
(3) 11 1[
(3)))
81
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (3)))
82
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9a. Locations with minimum stress ratios for estimated EPU conditions with no frequency shift. Signal noise is removed using 9%
power data. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 17.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 122062 8700 8700 2685 1.94 4.6 it
- 2. USR part/Support/Support Part 7
122.3
-9.5 122280 7437 7437 2232 2.27 5.54 it
- 3. Middle Closure Plate
-33.9
-108.4 88.9 7274 5822 6073 1443 2.9 8.57 SR-a No
- 1. Tie Bar Base Thick/Top Cover 83.8 31.8 88.9 97110 335 4259 4199 5.95 2.94
- 2. Mid Plate 0
-3.9 88.2 23883 198 3516 3285 7.21 3.76 SRZ-P VYes7
-I."Tp' ie ne Hood/YNiddle Closure
-31.5
-108.4~ 88:9
<91141 6409.
7~329<
1677' 1.45 4.11 Tlate/Inner Hood
- 2. Top Cover Middle Hood/Outer Closure 62.5
-85 88.9 90137 4731 5033 2403 1.96 2.86 Plate/Middle Hood
- 3. Middle Base Plate/Hood Support/Inner Hood(d) 39.8
-59.8 0
104843 4334 4515 2426 2.14 2.83
- 4. Outer Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
101377 4095 4350 2724 2.27 2.52
- 5. Splice Bar/USR Part
-2.2
-119 0
122330 4023 4023 578 2.31 11.88
- 6. Splice Bar/Straddle 6
117.8
-9.5 121881 3929 3929 747 2.37 9.2
- 7. Submerged Drain Channel /Skirt
-91 76.7
-98.5 98049 409 4842 1517 2.88 4.53
- 8. Remaining tie bar (outer hood)/tie bar base 81.5 31.4 88.9 132385 3200 3200 3193 2.9 2.15
- 9. Submerged Drain Channel/Skirt(c) 91
-76.7
-100.5 98663 1185 4740 1837 2.94 3.74 See Table 7a for notes (a)-(d).
83
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9a (cont.). Locations with minimum stress ratios for estimated EPU conditions with no frequency shift. Signal noise is removed using 9% power data. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 17.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-a Yes
- 1. Remaining tie bar (outer hood)/tie bar base 81.5 31.4 88.9 132385 3200 3200 3193 2.9 2.15 it
- 2. Tie Bar Base Thick/Top Cover Plate 80.2 30.2 88.9 97091 398 3200 3182 4.36 2.16 V1
- 3. Hood Mod/Top Cover Outer Hood/Thin Gusset Pad 93.5 57.5 88.9 93834 454 3875 3155 3.6 2.18 it
- 4. Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar
-77 9.6 62.9 107135 552 3062 3006 4.55 2.29 of
- 5. Dam Plate/New Gusset 77 58.2 104.4 98791 245 3085 2981 4.52 2.3 of
- 6. Top Cover Middle Hood/Thin Tie Bar Base
-55.5 31.4 88.9 89960 493 2779 2756 5.02 2.49 if
- 7. Outer Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
101377 4095 4350 2724 2.27 2.52
- 8. Outer Hood/Mod Base 93.5
-24.1 84.3 91337 460 2944 2676 4.74 2.57
- 9. Top Cover/Thick Tie Bar Base
-53 3
88.9 89657 557 2619 2582 5.32 2.66
- 10. Submerged Drain Channel/Skirt(c)
-11.5 118.4
-100.5 98156 1126 4064 2535 3.43 2.71
- 11. Top Cover Middle Hood/Outer Closure 62.5 85 88.9 111150 2912 3216 2497 3.19 2.75 Plate/Middle Hood
- 12. Middle Base Plate/Hood Support/Inner Hood(d) 39.8
-59.8 0
104843 4334 4515 2426 2.14 2.83 See Table 7a for notes (a)-(d).
84
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9b. Locations with minimum stress ratios at estimated EPU conditions with frequency shifts. Signal noise is removed using 9% power data. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 18.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 122062 8821 8821 2939 1.92 4.21 2.5
- 2. USR part/Support/Support Part 7
122.3
-9.5 122280 7678 7678 2781 2.2 4.45 2.5
- 3. Middle Closure Plate
-33.9
-108.4 88.9 7274 5995 6225 1747 2.82 7.08 5
SR-a No
- 1. Tie Bar Base Thick/Top Cover 83.8 31.8 88.9 97110 369 4259 4199 5.95 2.94 0
- 2. Mid Plate 0
-3.9 88.2 23883 209 3982 3684 6.37 3.36
-5 SR-P Yes-L Top Cover Inner Hood/Middle
-31.5
-108.4'88.9 911441 6596:
7537 2021 1.41 3.4 5
dClosure Plate/Inner Hood
- 2. Top Cover Middle Hood/Outer 62.5
-85 88.9 90137 5064 5425 2925 1.84 2.35 5
Closure Plate/Middle Hood
- 3. Middle Base Plate/Hood Support/Inner Hood(d) 39.8
-59.8 0
104843 5023 5029 3031 1.85 2.27 5
- 4. Splice Bar/USR Part
-2.2
-119 0
122330 4246 4246 741 2.19 9.27 2.5
- 5. Splice Bar/Straddle
-6
-117.8
-9.5 122087 4111 4111 955 2.26 7.2 2.5
- 6. Outer Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
101377 4095 4350 2724 2.27 2.52 0
- 7. Submerged Drain Channel/Skirt 91
-76.7
-98.5 98688 416 5542 2186 2.52 3.14 7.5
- 8. Submerged Drain Channel/Skirt(c)
-91 76.7
-100.5 98024 1252 5381 2411 2.59 2.85 10
- 9. Submerged Drain Channel/Skirt 11.5
-118.4
-98.5 98859 334 4917 2884 2.84 2.38 5
- 10. Remaining tie bar (outer hood)/tie bar base 81.5 31.4 88.9 132385 3200 3200 3193 2.9 2.15 0
See Table 7a for notes (a)-(d).
85
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9b (cont.). Locations with minimum stress ratios at estimated EPU conditions with frequency shifts. Signal noise is removed using 9%
power data. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 18.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-a Yes
- 1. Mid Bottom Perf. Plate Exit/Mid Top 77 9.6 62.9 106852 587 '
3528 3377 3.95 2.03 7.5 Perf. Plate Exit/Tie Bar
- 2. Remaining tie bar (outer hood)/tie bar base 81.5 31.4 88.9 132385 3200 3200 3193 2.9 2.15 0
- 3. Thick Tie Bar Base/Top Cover 80.2 30.2 88.9 97091 483 3200 3182 4.36 2.16 0
- 4. Hood Mod/Top Cover Outer Hood/Gusset Pad Thin 93.5
-57.5 88.9 110494 439 4330 3179 3.22 2.16 2.5
- 5. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 90897 5036 5641 3119 1.85 2.2 10 Plate/Middle Hood
- 6. Submerged Drain Channel/Skirt(c) 11.5
-118.4
-100.5 98802 1148 4757 3088 2.93 2.22 5
- 7. Middle Base Plate/Hood Support/Inner Hood(d) 39.8
-59.8 0
104843 5023 5029 3031 1.85 2.27 7.5
- 8. Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar 15
.19.9 62.9 105753 455 3374 2986 4.13 2.3 5
- 9. Dam Plate/New Gusset 77 58.2 104.4 98791 246 3085 2981 4.52 2.3 0
- 10. Middle Closure Plate/Inner Hood 35.8 108.4 38 94004 837 3102 2923 4.5 2.35
-2.5
- 11. Submerged Drain Channel/Skirt 11.5
-118.4
-98.5 98859 334 4917 2884 2.84 2.38 7.5
.12. Outer Hood/Mod Base 93.5
-24.1 84.3 91337 499 3102 2849 4.49 2.41 5
- 13. Top Cover Inner Hood/Middle Closure 31.5
-108.4 88.9 97835 5168 5490 2848 1.8 2.41 5
Plate/Inner Hood
- 14. Top Cover Middle Hood/Thin Tie Bar Base 55.5
-31.4 88.9 97737 697 3038 2824 4.59 2.43
-5
- 15. Outer Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
101377 4095 4350 2724 2.27 2.52 0
See Table 7a for notes (a)-(d).
86
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9c. Minimum stress ratios at any frequency shift for the nodes listed in Table 8b computed using the unfiltered EPU loads (i.e., signal noise has not been removed). Locations are depicted in Figure 18.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratiox y
z Pm Pm+Pb Salt SR-P SR-a Shift SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 122062 9280 9280 3286 1.82 3.76 7.5
- 2. USR part/Support/Support Part 7
122.3
-9.5 122280 7760 7760 2883 2.18 4.29 2.5
- 3. Middle Closure Plate
-33.9
-108.4 88.9 7274 6249 6493 2023 2.70 6.11 5
SR-a No
- 1. Tie Bar Base Thick/Top Cover 83.8 31.8 88.9 97110 506 5408 5401 4.69 2.29 0
- 2. Mid Plate 0
-3.9 88.2 23883 224 4724 4315 5.37 2.87
-5 2SR-P Ye's CoverInner Hood/Middle 108.4 89.9 91141-6876
'7817
'2364 1.35 2.91,
5
,Closur'ePlate/Inner Hood
- 2. Top Cover Middle Hood/Outer 62.5
-85 88.9 90137 5916 6082 3737 1.57 1.84 5
Closure Plate/Middle Hood
- 3. Middle Base Plate/Hood Support/Inner Hood(d) 39.8
-59.8 0
104843 5688 5732 3662 1.63 1.87 10
- 4. Splice Bar/USR Part
-2.2
-119 0
122330 4294 4294 785 2.16 8.75 2.5
- 5. Splice Bar/Straddle
-6
-117.8
-9.5 122087 4165 4165 1011 2.23 6.80 2.5
- 6. Outer Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
101377 5324 5736 4242 1.75 1.62 10
- 7. Submerged Drain Channel/Skirt 91
-76.7
-98.5 98688 474 5895 2507 2.37 2.74 7.5
- 8. Submerged Drain Channel/Skirt(c)
-91 76.7
-100.5 98024 1441 5903 3201 2.36 2.14
-2.5
- 9. Submerged Drain Channel/Skirt 11.5
-118.4
-98.5 98859 417 5249 3294 2.66 2.09 7.5
- 10. Remaining tie bar (outer hood)/tie bar base 81.5 31.4 88.9 132385 4126 4126 4096 2.25 1.68 0
See Table 7a for notes (a)-(d).
87
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9c (cont.). Minimum stress ratios at any frequency shift for the nodes listed in Table 8b computed using the unfiltered EPU loads (i.e.,
signal noise has not been removed). Locations are depicted in Figure 18.
Stress Weld Location Stress Ratio Weld Location Location (in.) (a) node(b) T Stress Intensity (psi)
Stress Ratio
% Freq.
x y
z Pm Pm+Pb Salt SR-P SR-a Shift 77 9.6 62.9 106852 654 3934 3717 3.54 1.85 7.5 SR-a Yes
- 1. Mid Bottom Perf. Plate Exit/Mid Top Perf. Plate Exit/Tie Bar
- 2. Remaining tie bar (outer hood)/tie bar base 81.5 131.4 88.9 1132385 14126 4126 4096 12.25 11.68 0
- 3. Thick Tie Bar Base/Top Cover 80.2 30.2 88.9 97091 686 4087 4085 3.41 1.68 0
- 4. Hood Mod/Top Cover Outer Hood/Gusset Pad Thin 93.5
-57.5 88.9 110494 499 5578 4368 2.50 1.57 2.5
- 5. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 90897 5729 6450 3793 1.62 1.81 10 Plate/Middle Hood
- 6. Submerged Drain Channel/Skirt(c) 11.5
-118.4
-100.5 98802 1492 5497 3811 2.53 1.81 5
- 7. Middle Base Plate/Hood Support/Inner Hood(d) 39.8
-59.8 0
104843 5688 5732 3662 1.63 1.87 10
- 8. Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar 15 19.9 62.9 105753 505 3994 3529 3.49 1.95 5
- 9. Dam Plate/New Gusset 77 58.2 104.4 98791 313 4101 3965 3.40 1.73 0
- 10. Middle Closure Plate/Inner Hood 35.8 108.4 38 94004 871 3508 3321 3.97 2.07
-2.5
- 11. Submerged Drain Channel/Skirt 11.5
-118.4
-98.5 98859 417 5249 3294 2.66 2.09 7.5
- 12. Outer Hood/Mod Base 93.5
-24.1 84.3 91337 609 3939 3463 3.54 1.98 2.5
- 13. Top Cover Inner Hood/Middle Closure 31.5
-108.4 88.9 97835 5719 6061 3366 1.63 2.04 5
Plate/Inner Hood
- 14. Top Cover Middle Hood/Thin Tie Bar Base 55.5
-31.4 88.9 97737 745 4261 3892 3.27 1.76
-10
- 15. Outer Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
101377 5324 5736 4242 1.75 1.62 10 See Table 7a for notes (a)-(d).
88
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17a. Locations of smallest maximum stress ratios, SR-P<4, at non-welds for nomir EPU operation. Numbers refers to the enumerated locations for SR-P values at non-welds Table 9a.
89
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
-. 19h.-
z K~Y SR-a (no weld) 4.9 4.7 4.5 4.3 4.1 3.9 3.7 3.5 3.3 3.1 2.9 Figure 17b. Locations of smallest alternating stress ratios, SR-a<5, at non-welds for nominal EPU operation. Numbers refers to the enumerated locations for SR-a values at non-welds in Table 9a.
90
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17c. Locations of smallest maximum stress ratios, SR-P_<4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 9a.
First view showing locations 1, 2, 5, 8 and 9.
91
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17d. Locations of smallest maximum stress ratios, SR-P<4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 9a.
Second view showing locations 3, 4, 6, 7 and 9.
92
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information m
SR-a (weld) 4 3.9 3.8 3.7 3.6 3.5 3.4 3.3 3.2 3.1 3
2.9 2.8 2.7 2.6 2.5 2.4 2.3 2.2 2.1 Figure 17e. Locations of minimum alternating stress ratios, SR-a_<4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 9a. First view showing locations 1-6 and 8-11.
93
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17f. Locations of minimum alternating stress ratios, SR-a_<4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 9a.
Second view showing locations 1-3, 5, 6, 8 and 9.
94
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17g. Locations of minimum alternating stress ratios, SR-a<4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 9a.
Third view showing locations 7, 10 and 12.
95
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
X Y
SR-P (no weld) 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 L
1.9 Figure 1 8a.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at non-welds for EPU operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-P values at non-welds in Table 9b.
96
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
S R-a (no weld) 4.9 4.7 4.5 4.3 4.1 3.9 7ý 3.7 I
3.5 3.3 3.1 2.9 Figure 18b.
Locations of smallest alternating stress ratios, SR-a<4, at non-welds for EPU operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-a values at non-welds in Table 9b.
97
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x 4
SR-P (weld) 4 3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 21.8 9
1.6 7
1.4 Figure 1 8c.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 9b. This view shows locations 1, 2, 4, 7, 9 and 10.
98
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information x
6m 2.8 2.6 2.4 2.2 2
1.8 9
1.6 1.4 Figure 18d.
Locations of minimum stress ratios, SR-P*4, associated with maximum stress intensities at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 9b. This view shows locations 3 and 5-9.
99
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
4L_
SR-a (weld) 4 3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 Figure 18e. Locations of minimum alternating stress ratios, SR-a<4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. This view shows locations 1, 4, 5, 8, 9, 13 and 14.
100
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 18f. Locations of minimum alternating stress ratios, SR-a<4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. This view shows locations 2-4, 9, 10 and 12.
101
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 18g. Locations of minimum alternating stress ratios, SR-a_<4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. This view shows locations 6, 7, 11 and 15.
102
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 6.2 Frequency Content at EPU The selected nodes are the ones having the lowest alternating stress ratios (at a weld) in Table 9b. These are:
Node 106,852 - this node has the lowest alternating stress ratio and is located on the common intersection of two welds: (i) the weld connecting the interior tie bar to the thick perforated exit flow plate and (ii) the weld joining the thick and thin perforated exit flow plates. The associated PSDs are shown in Figure 19a.
Node 132,385 - located on the weld connecting the remaining tie bar to the tie bar base. The associated PSDs are shown in Figure 19b.
Node 97,091 - located at the weld joining the tie bar base to the top cover plate of the outer vane bank. The associated PSDs are shown in Figure 19c.
Node 110,494 -located at the junction of two welds: (i) the weld joining the outer hood to the top cover plate and (ii) the weld joining the new gusset base to the top cover plate.
The associated PSDs are shown in Figure 19d.
As was the case at CLTP, the dominant contribution to the stress at node 106852 occurs at 49-50 Hz. For the other three nodes, this component is also present, but its contribution is comparatively small. Instead a strong signal at 109-111 Hz dominates. This signal corresponds to the onset of SRV resonance. Accordingly the bump-up factors in this range are higher than a simple velocity squared increase so that EPU signals in this range are considerably higher than at CLTP. Moreover, it appears that the 109-111 Hz signal mainly affects the outer hoods and the gussets and tie bars connected to the steam dam. The skirt and middle and inner hoods and vane banks continue to be dominated by lower frequency contributions.
103
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 106852, a U,
EE 500 400 300 200 100 0
~ No sýhi0
+7.5. shift]
50 100 150 200 250 0
Frequency [ Hz ]
Node 106852, ac 10 5 10 4
I N
09 cn U) 1000 100 10 0.1 0.01 50 100 150 200 250 0
Frequency [ Hz ]
Figure 19a. Accumulative PSD and PSD curves of the Yzz stress response at node 106,852.
104
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 132385, a CL 0~
U)
WO 500 400 300 200 100 0
h%
hft] ----
5 2L0___
150 200 50 100 0
250 Frequency [ Hz]
Node 132385, az zz N-10 5 10 4
w 0ý-
1000 100 10 1
0.1 0.01 0
50 100 150 200 250 Frequency [ Hz ]
Figure 19b. Accumulative PSD and PSD of the azz stress response at node 132,385.
105
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 97091, aYY N
U)
C,)
C,)
1000 100 10 1
0.1 0.01 100 150 Frequency [ Hz]
Node 97091, a yy 200
_50_
50 0
250 U,)
0-C,)
10 5 10 4
1000 100 10 1
0.1 0.01 0
50 100.
150 200 250 Frequency [ Hz ]
Figure 19c. Accumulative PSD and PSD of the cyy stress response at node 97,091.
106
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 110494, a a.
cD E
500 400 300 F
200 100 r0 0
50 100 No s 2 hift 250
-20 200 150 Frequency [ Hz]
Node 110494, a U) a-U) 105 104 1000 100 10 1
0.1 0.01 200 0
50 100 150 250 Frequency [ Hz ]
Figure 19d. Accumulative PSD and PSD of the yxx stress response at node 110,494.
107
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 7. Conclusions A frequency-based steam dryer stress analysis has been used to calculate high stress locations and calculated / allowable stress ratios for the Browns Ferry Unit 1 steam dryer at CLTP load conditions using plant measurement data.
A detailed description of the frequency-based methodology and the finite element model for the BFN1 steam dryer is presented. The CLTP loads obtained in a separate acoustic circuit model [2], including end-to-end bias and uncertainty for both the ACM [5] and FEA, were applied to a finite, element model of the steam dryer consisting mainly of the ANSYS Shell 63 elements, brick continuum elements, and beam elements.
The resulting stress histories were analyzed to obtain maximum and alternating stresses at all nodes for comparison against allowable levels.
The CLTP. loads are applied with compensation for background noise based on 1000# data taken at 9% power. These results are tabulated in Table 8 of this report.
The minimum alternating stress ratio at nominal operation is 3.20 and the minimum alternating stress ratio taken over all frequency shifts is 2.79. The stress ratios corresponding to maximum stresses are 1.57 at nominal operation and 1.52 when all frequency shifts are considered. The results show that the new tie-bars with widened and tapered ends successfully alleviate the highest stress regions associated with tie bar bases to alternating stress ratios, SR-a>4.5.
On the basis of these CLTP plant loads, the dynamic analysis of the steam dryer shows that the combined acoustic, hydrodynamic, and gravity loads produces the following minimum stress ratios.
Frequency Shift Minimum Stress Ratio at CLTP Max. Stress, Alternating Stress, SR-P SR-a 0% (nominal) 1.57 3.20
-10%
1.59 4.07
-7.5%
1.56 3.84
-5%
1.57 3.15
-2.5%
1.55 3.27
+2.5%
1.56 3.02
+5%
1.53 3.04
+7.5%
1.52 2.79
+10%
1.54 3.01 All shifts 1.52-1.59 2.79-4.07 Limiting 1.52 2.79 EPU stresses are estimated using three methods. The first scales the CLTP stresses by the square of the steam flow velocity ratio, (UEpu/UcLTp) 2=l.35. The second method utilizes the bump up factors developed in [3] over the entire frequency range. Finally, the third method uses the bump up factors only over the 100-120 Hz frequency interval and the velocity scaling (1.35) at all other frequencies. The limiting stress ratios using these three methods are summarized for 108
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information each frequency shift in the table below. The limiting alternating stress ratios at any frequency shift are: 2.07 (Method 1), 2.08 (Method 2) and 2.03 (Method 3) which represents a variation of less than 2.5%. In all cases the alternating stress ratio remains above 2.0, thus qualifying the steam dryer for EPU operation with regard to stress evaluation.
Minimum Stress Ratio at EPU Method 1 Method 2 Method 3 Frequency Alt. Stress, Max. Stress, Alt. Stress, Max. Stress, Alt. Stress, Shift SR-a SR-P SR-a SR-P SR-a 0%
(nominal) 2.37 1.48 2.14 1.45 2.15
-10%
3.01 1.51 2.96 1.51 2.92
-7.5%
2.84 1.49 2.80 1.47 2.77
-5%
2.33 1.49 2.29 1.48 2.31
-2.5%
2.42 1.48 2.45 1.44 2.35
+2.5%
2.24 1.45 2.18 1.46 2.16
+5%
2.25 1.44 2.15 1.41 2.22
+7.5%
2.07 1.44 2.08 1.42 2.03
+10%
2.23 1.44 2.24 1.44 2.20 All shifts 2.07 - 3.01 1.44-1.51 2.08-2.96 1.41 - 1.51 2.03 - 2.92 Limiting 2.07 1.44 2.08 1.41 2.03 109
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 8. References I
Continuum Dynamics, Inc. (2005). "Methodology to Determine Unsteady Pressure Loading on Components in Reactor Steam Domes (Rev. 6)." C.D.I. Report No. 04-09 (Proprietary).
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Report No.08-04P (Proprietary).
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ANSYS 10.0 Complete User's Manual Set.
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111