ML20094N075
| ML20094N075 | |
| Person / Time | |
|---|---|
| Site: | Mcguire, Catawba, McGuire  |
| Issue date: | 10/31/1995 |
| From: | Aradhaya P, Gupta A, Jack Zhao North Carolina State University, RALEIGH, NC |
| To: | |
| Shared Package | |
| ML20094N047 | List: |
| References | |
| NUDOCS 9511270355 | |
| Download: ML20094N075 (440) | |
Text
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Attcchment 6 l
Validation of CREST l by i
Abhinav Gupta
, Jun Zhao Pradeep Aradhya Enhancement Project For Duke Power company Interim Report October 1995 Center for Nuclear Power Plant Structures, Equipment and Piping North Carolino State University i 8#
l Raleigh, NC 27695-7908 1 m
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l l Validation of CREST
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Abhinav Gupta Jun Zhao Pradeep Aradhya 4
! Enhancemenfc Project For Duke Power company
- Interim Report October 1995 Center for Nuclear Power Plant Structures, Equipment and Piping
'U I; North Corolino State University Ij i 8-- Raleigh, NC 27695-7908 !
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Contents 1 Introduction 1 2 Pressurizer Spray Line 1 2.1 Input and Output Files . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Damping Calculation . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3 Results and Discussion 3 l
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1 Introduction j The computer program CREST performs response spectrum analysis of coupled primary-secondary systems. For the present application, building is a primary sys-tem and piping system the secondary. To perform the analysis of a coupled system, CREST must be interfaced with a piping analysis program, which in the present case is PIPESTRESS. We are validating CREST against ANSYS by comparing the re-sponse spectrum results from the former with the time history results from the latter for three real-life-like building-piping coupled systems. Mode shapes and frequencies of the coupled systems calculated using the two programs are also compared. The val-idation analyses and the comparison of results for the first of the three building-piping systems are presented in this interim report.
2 Pressurizer Spray Line Pressurizer spray line is the first of three piping systems used for validation of the computer program CREST. The validation is performed by comparison with a direct integration time b: story analysis of the coupled piping-building model. The pressur-izer spray line is shown in Fig.1 and the primary system used for this piping system is l
shown in Fig.2. The piping system consists primarily of a 2.5 inch diameter, schedule i 160 pipe. Two relatively small segments of this piping have different cross sections with diameters of 0.5 inch and 1.5 inch, respectively. The modulus of elasticity for j the steel pipe is taken as 28.3E06 psi and the piping is assumed to be filled with water. The piping is supported on a total of 3 anchors,19 snubbers and 5 spring type i supports. Table 1 gives the stiffnesses of these supports and the global direction in which each support is active. The table also lists the weight of the supports bearing on piping system and the connectivity of each support with the building model in terms of building node numbers. As seen in this table, the stiffnesses of spring sup-ports are very small compared to the stiffnesses of snubbers. The spring supports do not have any significant effect on the member forces and support reactions. These supports have not been shown in Fig.1, however, they are included in the analysis.
Fig.2 gives the node numbers, floor elevations and structural properties of various el-ements in the three dimensional stick model of the primary system. The translational
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and rotational anchor stiffnesses used in this analysis are 1.0E08 kips /in and 8.33E08 j ft-kips / radian, respectively. The coupled piping-building modelis assumed to be clas- l sically damped. Therefore, undamped eigenvectors and eigenvalues are evaluated in the solution of eigenvalue problem in CREST. I 2.1 Input and Output Files o*bchd .
Various input and output files are tered c +h- andend dhkdtc. The ANSYS input and output files for modal analysis of the coupled piping and building model are cpmodal.in and epmodal.out, respectively. ANSYS was also used to perform time history analysis of the coupled model for two different earthquake records, El Centro 1940 (S00E) and Taft-Lincoln School 1952 (S69E). The ANSYS input file when El )
Centro is used is pbfecz.in. Results are stored in two files, one each for pre- and i the post-processing of the data. The two files are named pbfecz.out.and pbfeczl for the El Centro analysis. For the Taft record, input file is named pb2tfz.in and the output files are pb2tfr.out and pb2tfzl, respectively. The output files contain member forces and support loads for several time intervals. Due to large size of the problem, maximum response values are evaluated internally by ANSYS for every 2 seconds interval. Therefore, theses files contain solution output for 10 such intervals that lie between 0 to 20 seconds. Since all the maximum responses occur much before 20 i seconds, the output files contain responses up to 20 seconds only. l The interface between CREST and PIPESTRESS for performing the response spectrum analysis of the coupled modelis explained in reference [3]. Thejiping sys-tem is modeled on PIPESTRESS and the corresponding input file is ps1.a The floor l 1
response spectra are specified in the PIPESTRESS input file only for the purpose of j generating the unit solutions needed by CREST. The spectral values are redundant and not used. CREST needs an additional file that contains information about the dynamic properties of uncoupled primary system, the control data and the connec- I l
tivity data. This file also contains information about the response spectra at the base of primary system to be used as the input ground motion. The name of this input file corresponding to the El Centro record is crelcent.in and that to Taft is criaft.in.
The output files generated by CREST for the two carthquake records are crelcent.out and criaft.out, respectively. The Jrput response spectra at the base of primary sys-2
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tem is evaluated at the exact values of coupled frequencies and the modal damping ratios. This procedure eliminates any uncertainties that may be introduced in the interpolation process. The dynamic properties of the primary system used in these 1
input files were generated by performing an uncoupled modal analysis using ANSYS.
The input file for this analysis is primary.in and the output file is primary.out. The dynamic properties of the primary system were used to evaluate the residual mode of the uncoupled primary system according to the procedure given in references (2,3].
1 2.2 Damping Calculation Rayleigh damping is used in the ANSYS time history analysis which is given by (C] = a(M) + B (K] (1) in which a and B are proportionality constants. These constants are evaluated using the frequencies of the coupled model. For coupled mode i we can write 2(4wg = a + pwl (2) in which w; and (4 are the circular frequency and the damping ratio in mode i. In the present analysis, it is assumed that the coupled modes with the lowest and the highest frequencies have a damping ratio of 0.05. The lowest coupled mode has a frequency of 1.3145 Hz. and the highest mode has a frequency of 32.917 Hz. These frequencies together with (4 = 0.05 when substituted in equation 2 give a = 0.7941209 $ = 0.000466231 (3) i Once the parameters a and p are evaluated, the modal damping ratios for other !
modes can be evaluated directly using equation 2. Table 2 gives the damping ratios evaluated using this procedure for each mode of the coupled system. l j
3 Results and Discussion l l
Frequencies and damping ratios for the coupled system are given in Table 2. The i 1
coupled mode shapes for the non-rigid modes obtained from ANSYS are compared l s
with those from CREST. The plots for two sets of mode shapes are shown appendix. I 3
Three different curves are plotted for each coupled mode shape, one corresponding to the modal displacements in each of the three global directions. In each plot, the node numbers corresponding to the piping system are plotted on the x-axis and the modal displacement on the y-axis. As seen from these figures, the mode shapes from the two programs are in excellent agreement with each other. The plots corresponding to the coupled modes 12 and 14 (frequencies = 10.1792 and 12.0367 Hz., respectively) appear to show large differences in the curves. In these modes, the significant displacements occur in the primary system degrees of freedom. Very small (negligible) displacements j occur in the piping system degrees of freedom. Plots of negligible displacement values on a large scale magnifies the differences. These mode shapes result in negligible response values in the piping system. Tables 3 and 4 compare the significant member forces and support loads in the piping system from ANSYS time history analysis using El Centro record with the corresponding values obtained from a response spectrum l analysis using CREST. Tables 5 and 6 compare the corresponding values from the two programs for Taft earthquake input. As seen from these tables, the agreement between the two sets of analyses is good. Agreement in the two sets of analyses is better for Taft input than for the El Centro input. Reasons for larger differences in some forces for El Centro input were explored. Anchor reaction in global x-direction, j F,, at node number 1 is studied in detail. Table 7 gives the values of modal responses for F, in all the coupled modes. CREST evaluated response in each coupled mode also includes the effect of missing mass. Combination of these modal responses using 10 % grouping method of mode combination [5] gives F, = 99.5 lb which is only 1% more than the value of 98.5 lb evaluated by CREST and much lower than the value of 148 lb given by the time history analysis. The fact that the two response spectrum values are almost equal and both much less than the time history value demonstrates that the difference in forces evaluated using the time history and the response spectrum method comes from the inherent differences in the two methods of analyses and is unrelated to the specific CREST methodology.
The phenomenon was studied further taking the force F, in anchor 1 as an exam-ple. As seen from table 7, significant contribution to the total force comes from modes numbered 2,3 and 5 that have frequencies of 1.5867 Hz.,2.8009 Hz and 3.60057 liz.,
respectively. The forces in the three modes are 49.171 lb, -52.396 lb and -59.849 lb, respectively. ANSYS time history analysis output shows that the absolute maximum 4
~ . . _ . _ . . _ _ .
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l of the force F, occurs at 4.56 seconds. Therefore, the time histories of modal re-sponses from these three modes were studied for a period of 3 seconds between 3 j to 6 seconds. Fig. 3 shows the plots of the histories of three modal responses and I
also the history of the combined response from these three modes. As seen from the figure, the modal responses from three modes have same signs at 4.56 seconds. None of these modal forces have their maximum values at the particular instant of time.
However, these values are large enough that the combined force in these modes is 110 1 1
lb. The corresponding values from the 10% grouping method and CREST are 93.5 l lb and 95.5 lb. The three modes do not form any group within the 10 % frequency range. Therefore, the combined response given by the 10 % grouping method (5) is equivalent to the SRSS combined response. For mode combination in CREST (4], j the correlation coefficients between the three modes are: Ej3 = 0.0, 22 s = 0.07 and Ej3 = 0.0 The only non-zero correlation term is Ejs which is also negligible. That in effect renders the CREST modal combination into the SRSS combination.
The above example illustrates the inherent differences in a time history and the l response spectrum analyses. In general, no one-to-one correspondence exists between i the time history method and the response spectrum method. On the " average", l response spectrum method gives responses that are close to the responses obtained from a time history analysis. On an individual basis, response spectrum may give )
responses that are either more or less in magnitude than the time history analysis. A l 1
detailed explanation of the differences in the two methods is given in section 3.3 and )
table 3.2 in reference [1].
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References
[1] Gupta, A.K., " Response Spectrum Method In Seismic Analysis and Design of Structures", Blackwell Scientific Publication, Boston, MA,1990; CRC Press, Inc., Boca Raton, FL,1992.
[2] Gupta, A. and Gupta, A.K, " Coupled Analysis of Piping Systems Including the Effect of High Frequency Modes," Report, Center for Nuclear Power Plant I Structures, Equipments and Piping,- Department of Civil Engineering, North Carolina State University, Raleigh, NC,1994.
[3] Gupta, A.K., Jaw, J.W. and Gupta, A., " CREST, A Computer Program for Coupled Response Spectrum Analysis of Secondary Systems, Interfned with PIPESTRESS," User's Manual, , Center for Nuclear Power Plant Structures, Equipments and Piping, Department of Civil Engineering, North Carolina State University, Raleigh, NC,1995.
[4] Megahed, H. A. and Gupta, A.K., " Topics in Seismic Response of Nonclassically Damped Systems," Report, Research Program on Nuclear Power Plant Struc-tures, Equipments and Piping, Department of Civil Engineering, North Carolina State University, Raleigh, NC, August 1992.
[5] United States Nuclear Regulatory Commission, " Combining Modal Responses and Special Components in Seismic Response Analysis," Nuclear Regulatory Guide, No.1.92.
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l Table 1: Support Details and Connectivity, Pressuriar Spray Line Support Support Stiffness Mass Global Connectivity ,
Name: Type (Ib/ in) (Ib) Direction (Building Node) 1 PSH2 Snubber 77000 25.2 Z 306
', .PSH3- Snubber 77000 25.2 X 306 N PSH4 Snubber 77000 - 25.2 Y- 307 3
PSH5 Spring 56 4.30 Y 307-
.PSH8 Snubber _77000- 25.2 X 308 PSH12 Snubber 77000 25.2 Z 310 PSH15 Snubber 212000 43.2 Y 312 PSH17 Snubber 212000 40.2 X 312 i PSH20- Snubber 77000 25.2 Y 312 .j PSH21 Snubber 77000 25.2 Z 312 i PSH22 Spring 126- 4.75 Y 3U PSH23 Spring 35 4.2 Y 312 PSH25 Snubber 77000- 24.8 X 312 PSH26 Snubber 77000 24.8- Z 312 PSH27- Snubber 77000 25.2 Y 312 )'
PSH29 Snubber 77000 25.2 Z 312-PSH31 Snubber 77000 25.2 X 312 q PSH33 Spring 400 10.0 Y 312 PSH34 - Snubber 77000 25.2 Z 312 PSH35 - Spring 224 5.50 Y 312 j PSH36 A Snubber 77000 31.5 X -312 PSH36 B Snubber 77000 31.5 Z 312 ;
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-PSH37 A Snubber 77000 31.5 312 PSH37 B Snubber 77000 31.5 Z 312 ANCH1 Anchor Rigid 0.00 X,Y,Z 304 ANCH2 Anchor Rigid 0.00 X,Y,Z 309 ANCH3 Anchor Rigid 0.00 X,Y,Z 312 7
- - - _- - -. -_ . _ - _ .._ _ _ _ . _ , . . - . . . , _, J
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Table 2: Frequencies and Damping Ratios, Pressurizer Spray Line l Mode Frequency Damping Mode Frequency Damping No. (Hz.) Rt.tio No. (Hz.) Ratio i 1 1.3145 0.050000 18 16.0903 0.027495 2 1.5867 0.042150 19 16.5975 0.028118 3 2.8009 0.026665 20 17.9594 0.029824 4 3.4301 0.023447 21 18.2559 0.030201 5 3.6006 0.022825 22 19.6406 0.031985 6 3.8984 0.021920 23 20.8892 0.033622 7 4.2591 0.021076 24 22.1696 0.035322 ,
8 5.6890 0.019441 25 23.0565 0.036512 9 7.4677 0.019400 26 23.4915 0.037098 10 8.0710 0.019651 27 23.6251 0.037279 11 8.3071 0.019775 28 24.1809 0.038031 12 10.1792 0.021110 29 25.3193 0.039581 13 10.6266 0.021512 30 26.2363 0.040837 14 12.0367 0.022875 31 26.7325 0.041519 15 13.1299 0.024044 32 26.8858 0.041730 l 16 13.4392 0.024387 33 27.5432 0.042637 17 14.7927 0.025939 34 32.9170 0.050000 l
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Table 3: Comparison of Support Responses in Pressurizer Spray Line, El Centro Support Response ANSYS CREST Percent Difference ,
Node Type Quantity A C (C-A)*100/Amax 1 Anchor F, .148 98 -7 Anchor F, 83 94 2
.1 Anchor M, 139 151 3 Anchor M, 458 358 -22 Anchor M, 163 162 -0 Anchor F, 71 77 1 Anchor F, 49 54 1 87 Anchor M, 168 177 2 Anchor M, 118 119 0 Anchor M, 44 49 1 130 Anchor F, 47 47 0 Anchor M, 64 67 1 9 Snubber F, 309 286 -3 10 Snubber F, 212 236 3 15 Snubber F, 254 262 1 l 23 Snubber F, 359 282 -11 28 Snubber F, 150 160 1 l
37 Snubber F, 221 229 1 39 Snubber F, 536 423 -16 45 Snubber F, 150 127 -3 124 Snubber F, 80 80 -0 57 Snubber F, 689 687 -0 ,
73 Snubber F, 113 83 -4 131 Snubber F, 489 421 -10 133 Snubber F, 525 484 -6 F = Force (Ib) Moment (ft-lb)
Amax = Maximum Force or Momer.t 9
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1 Table 4: Comparison of Significant Member Responses in Pressurizer Spray Line, El
. Centro I
Member Response ANSYS CREST Percent Difference End Nodes Quantity A C (C-A)*100/Amax l F, 147 98 -10 1-2 M, 139 151 1 M, 458 358 -5 ;
6-7 F, 129 95 -7 M, 166 126 -2 F, 194 178 -3 9 - 10 F, 78 87 2 M, 694 783 5 Af, 768 668 5 15 - 16 F, 116 119 1 M, 797 732 -3 l 23 - 24 M, 412 454 2 M, 1099 854 -13 35 - 37 F, 219 229 2 38 - 39 F, 225 183 -9 M, 1857 1508 -19 44 - 45 F, 99 85 -3 M, 234 178 -3 56 - 57 F, 476 487 2 71 - 72 F, 412 381 -6 93 - 94 M, 113 83 -2 101 - 102 F, 164 162 -0 65 - 131 F, 249 216 -7 F = Force (lb) M = Moment (ft-lb)
Ama> = Maximum Force or Moment 10
Table 5: Comparison of Support Responses in Pressurizer Spray Line, Taft Support Response ANSYS CREST Percent Difference Node Type Quantity A C (C-A)*100/Amax Anchor F, 66 59 -3 Anchor F,. 41 39 -1 1 Anchor M, 63 62 -1 Anchor M, 143 158 11 Anchor M, 104 102 -1 Anchor F, 23 25 1 Anchor F, 18 19 1 87 Anchor M, 57 63 4 Anchor M., 35 36 1 Anchor M, 16 16 -0 130 Anchor F, 14 14 0 Anchor M, 19 20 0 9 Snubber F, 156 164 4 10 Snubber F, 98 97 -1 15 Snubber F, 115 108 -3 23 Snubber F, 149 132 -7 28 Snubber F, 62 65 1 37 Snubber F, 95 94 -0 39 Snubber F, 224 199 -10 45 Snubber F, 62 55 -3
- 24 Snubber F, 23 24 0 57 Snubber F, 240 215 -10 73 Snubber F, 41 37 -2 131 Snubber F, 141 128 -6 133 Snubber F, 156 1 146 -5 1
l F = Force (Ib) M = Moment (ft-lb)
Amax = Maximum Force or Moment t
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Table 6: Comparison of Significant Member Responses in Pressurizer Spray Line, Taft Member Response ANSYS CREST Percent Difference End Nodes Quantity A C (C-A)*100/Amax F, 65 59 l 1-2 M, 63 62 -0 l My 143- 158 2 1 6-7 F, 62 58 -2 M, 80 67 -2 F, 104 104 0 9 - 10 F, 35 35 -0 M, 333 321 -1 M, 404 414 1 15 - 16 F, 49 49 -0 M, 448 403 -5 23 - 24 M, 175 185 1 M, 472 414 -7 35 - 37 F, 96 95 -1 38 - 39 F, 104 90 -13 M, 852 723 -15 44-45 F, 34 34 0 M, 111 102 -1 56 - 57 F, 180 159 -12 71 - 72 F, 128 115 -7 93 - 94 M, 48 41 -1 101 - 102 F, 60 52 -5 65 - 131 F, 75 67 -5 F = Force (Ib) M = Moment (ft-lb)
Amax = Maximum Force or Moment 12 1
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Table 7: Mode Combination Using 10 % Grouping Method [5] for Reaction F, (lb) in Anchor at Node 1
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Mode Frequency Modal Mode Group Response No. (Hz.) Response No. in Each Group l 1 1.3145 6.121 1 6.121 i 2 1.5867 49.171 2 49.171 3 2.8009 52.396 3 52.396 l
4 3.4301 -0.494 4 60.343 l
5 3.6006 -59.849 4 l 6 3.8984 -0.122 5 2.134 l 7 4.2591 2.012 5 8 5.6890 -0.031 6 0.031 9 7.4677 -4.209 7 4.553 i 10 8.0710 -0.344 7 11 8.3071 0.061 8 0.061 ~
12 10.1792 0.021 9 2.158 ;
13 10.6266 2.137 9 l 14 12.0367 21.166 10 21.849 15 13.1299 0.683 10 l 16 13.4392 -0.313 11 0.313 l 17 14.7927 -0.037 12 0.037 18 16.0903 0.007 13 0.007 1 19 16.5975 0.031 14 20 17.9594 -0.478 14 0.997 1
21 18.2559 -0.488 14 22 19.6406 -0.037 15 1.978 23 20.8892 1.942 15 24 22.1696 -0.113 16 25 23.0565 2.159 16 26 23.4915 15.701 16 18.463 27 23.6251 0.454 16 28 24.1809 -0.036 16 29 25.3193 0.885 17 30 26.2363 2.130 17 31 26.7325 -2.563 17 7.740 32 26.8858 0.902 17 33 27.5432 1.259 17 34 32.917 12.088 18 12.088 SRSS of Response in Each Group = 99.504 13
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Figure 1: Piping Configuration, Presurizer Spray Line (Not to Scale) 14
1 Node No. Elevation 313 g 647'
'A = 9.871 EO4 638' 4" 312 (} 11 = 2.603EO9 K1 = 1.51 12 = 9.975EO9 311 (} 629' 7-13 = 7.372EO9 K3 = 2.88 310 g 624' 6" A = 9.266E04 11 = 2.151 C09 K1 = 1.42 309 (} 609' 6-12 = 7.807EO9 13 = 5.656EO9 K3 = 2.57 308 g 604 A = 1.32E05 11 = 1.480E10 K1 = 1.59 307 (} 595* 6-12 = 2.64E10 306 g 590 13 = 1.150E10 K3 = 2.26 A = 1.62EOS 11 = 1.60E10 K1 = 1.57 577* 10- 12 = 2.85E10 13 = 1.25E 10 K3 = 2.33-305 (} A = 2.43EOS 11 = 1.10E 10 K1 = 1.26 304 g 574 12 = 2.53 E 10 13 = 1.43 E 10 K3 = 1.23 A = 1.57EOS 303 571'
(} 11 = 1.03E10 K1 = 1.71 5 12 = 2.21 E 10 302 (} 568' 301 13 = 1.18E10 K3 = 1.67 565' Y//////A O Mass Joint A.= Areo ( In * )
O structur=1 Joint 11 = Moment of inertlo in X Dir. ( in ' )
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13 = Moment os in ertio in 2 Dir. ( In ' ) K1 G = hur N&m Figure 2: Building Model, Pressurizer Spray Line 15
l Fig 3: Plot of Force Time Histories 100 l
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t r
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i i
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1 Mode 5 1.0 -
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Mode 6 1.0 0.5 -
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Mode 6 8
m 6-c W m os 4-E ANSYS E CREST
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, -. . . . ~ . . - . . - . - . . - . . . . . . . . - . - - . . - . - . . - - . . - . - - . ~ . . .
i Mode 6 2
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i
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I Mode 7 L
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Mode 7 1.0 l
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i t
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Mode 8 1.0 4
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Mode 8 15 T
6 10 - o c
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5 0- - - - _ - &
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. ._ . = _ _ __ .. __. - . . . . .. . .. . .-- . _ _.
l i,
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{
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Mode 9 i i
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9 CREST I E
m ,
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l '
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k l
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S T Y S S E N R A C 0-0 5
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__._._____.___.__________.._m__ _ _ _ _ _ _ . _ - _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ . _ - _ _ _ _ _ _ _ _ _ . . _ _ _ _ _ . . . _ . _ _ _ _ _ _ _ _ _ - . . _ . . " - - - " -
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- . . _ . .~_~ . -.~. .-.. . . . . - . - - . - - - . . . - . . . _ . - - . . - . . ~ . . . . - - - - - - _ - . _ . - - - - _ . - _ - . ~ . . . - ~ . . - . - .
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i 4
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Mode 11 l 8
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3 Mode 12 ,
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- _ = =
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_ _ .= .. _ - _ . . - - .
k I
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CREST m o o
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l l
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1 Mode 14 1 0.010 i :
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I
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I Mode 15 i
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Node Number !
I For relative locations of nodes please see the reference material '
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Ill l sT vS sE nR aC O-0 5
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Mode 17 1.0 o
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Mode 17 2
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0-
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Mode 18 3
a 2-
[
1-ANSYS C2. CREST
$ 0- d y ' " " " ' " " " - "
8
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~ ,
Mode 18 4
2- o O P
1 T 8 ,
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Mode 18 to 8-T 6- 6 E 6 n
E4-8 m ANSYS n p CREST 2-O <
N
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~ , .
Mode 19 3
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g ANSYS h o " .._... ....., - - CREST is 0-x g '
f %..............-..
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l
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Mode 19 10 1
E Y c3 E h, Yo E
! 0- ),Y -
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Q N
ti
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Mode 20 4
2-E e o f
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g ,
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E ', 8 f
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l
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Mode 20 10 5-C a (f 0- 1 9e + cas a.
-10 ' ' ' ' ' ' ' ' ' ' ' ' ' '
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Mode 20 15 10 -
E e
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Node Number l l
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Mode 21 15 10 - o g < .
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0- % ..........1m""""""""-"#"- -
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Node Number l l
1 For relative locations of nodes please see the reference material
Mode 21 4
2- ob E
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{= 6 CREST B .
y !
e 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 Node Number For relative locations of nodes please see the reference material
.i
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Mode 21 5
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,1ill! 1Il S T Y S S E N R A C 0
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Mode 22 4
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AKSUME AMT RESPONSI&ILITY POR THE VALIDITY, ACCURACY, ok 74 r,3 4, (40. 0/ s/1000)
APPLICASILITY OF ANY RESULTS OS* AIDER.D FkaN THE AstSYS $YSTEM. 77 r. 3 5, ( 75. 0/s/1000)
UgERS ML*ST VERIPT T1tEIR ones Rssta.TS. T4 y,34, ( 5.0/g/1000 b 79 r.3 7, te.0/g/1000b ANSYS (R) COPYRIGbfP t C) 1971,1974.1942,1943.1941,1987,1949,1992 to r,34,110S.0/s/1000)
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PisOPRIETARY DATA - Ubat.meCRIEED UEE. DISTRIBUT10M, M DUPLICATION 82 r ,40, ( 12 . 0/ s/1000 )
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StassChi AMALYSIS S7 STEMS,IMC. 25 ENDEAWiAIIBG TO MAKE THE SS t.1/ ( 12'12)
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112 s,6014,10.379,432.434,1.944 283 N,13 2,21. 63.434. 444,22.11 153 5,30,10.379,435.149,1.944 254 N,71,19.4 54,434.144,22.11 [
154 m. 31,10. 379,4 36. 432,1. 944 255 M,133,19. 4 Se,434. 416,22.11 i 156 s,32,10.379.434.05).2.03S 254 N,134,19.454,f 34.ese,12.1R g And u ,35,10. 379,4 34,144,2. 254 2S7 se&4 anuher and spring supporto 157 M,37,14. 379,4 34.144,2. 959 2 k4 N,1901,0. 514,0 154 p,9017.10,3 79,434.144, S.451 259 N,1009, S.217,543. 694, -0.444 119 M,9014. 3 0. 379,434.144,4. 3SS 240 M,1010,S.217, L64.229,-0 644 164 p,34,10. 319,434.144.11.05 3 241 N,1014, S. 759, S9 3.2 5, *0. 444 14 1 5.39,10.379.434.144,11.914 242 p.1015,4. 259. 59 3. 2 5, *0. 444 ,
142 W,6019,10. 379. 434.144,14. 754 243 p 1023,16.379.604.291,1.D44 143 N,40,19. 379,414.144,17.S$ 6 244 N,1024,10. 3 79,424.149,1. 944 See W,41,10,319,4 34.144,20.044 345 N,1029.10.419,424. 416,1.944 146 m,43.10.49 2,434.144,20. 34 264 p.10 31.10. 9 79,4 34.144,2.9S9 led N,64,14. 412,4 34 144,20. 34 247 N,1039,10.379,434.144,11.914 ,
147 5.45.11.129,434.144,20.34 244 N,1644,10. 412,434.144.20. 34 r
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172 3,49,14. 601,434.144,20. h4 213 M,1051,23.174,434.144,20.44 173 W,60.17. 214.4 34.144,20. 34 214 m,1041,23.374,4b4.144,21.111 114 s,SA,17. 34 3,4 34.144,20. 34 214 u,1013,11.143,434.144,22.11 til W. S2.17. 601,434.144,20. 34 274 5,1014,15.799,434.144,12.11 114 5,53,39.422,434.144.20.34 211 p,1079,11.024.43w 144,22.11 177 N, b4,22. 601,4 34.144,20. 34 214 m,1041,4. 74,435. 319,14.494 ,
174 r,SS 22.644.434.144,20.34 219 N,1124,14.135,441 4 41,24. 541 '
177 N. 54,23.174,4 34. 344,30.413 240 N,1129.14.135,439. Sat 21.594 140 m ,57,2 3.174,4 34.144,20.44 att m,1130,14.13S 4 b4.426,25. 594 141 p. 64,3 3.114,434.144,21.42 7 242 M,1131,21. S$,434. 415.12 .11 142 3, St. 23.174,4 34.144,21.277 241 m.1131,19.454,434. 416,22.11 3 143 5,se,23.174,434.144,31.521 244 type 1 144 N,41,2 3.174,434.144,21. 777 245 remi.11 141 u ,42,2 3.174,4 34.144,21. 794 244 out,1 164 5,43,22.644,434,144,22.11 241 e,1,2 141 N,64,21. 947.4 34.144,22.11 244 type.2 144 3,45,21,S3,434.144,22.11 249 rem 1,211
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, 190 N,*T,20.169,434.144,22 11 291 type,1 195 44,90. 509.414.144,22.11 292 g en2,11 9,2 p".
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214 N,93,14.13 5.4 31. 644,20.473 317 r em1,11 ;
211 p,94,14.13 5,4 37. 644,20.944 314 e,13,14 214 p,95,14.13 6,4 37. 444,21. 341 319 e,14.15 219 N. 94,14.135,431. 444,21.774 320 e,15,14 1 220 m. 97,14.13 5,4 37. 644,21.799 321 type,2 +
221 m,94,14.135,437.332,22.111 322 rest,31 222 u,100,14.17S,434.951,23.111 323 e.14.17,1S '
223 - m,101,14.135,4 54.707,22.111 324 t ype,1
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231 s,107,20.434,414.144,21,211 332 type,1 232 E,109,20. 509,4 34.144,21. 402 333 rema,11 233 m.111,20.509,434.144,21.443 334 e.21,9009 234 M ,112,20. SO9. 4 34.144. 21. 401 335 e, 9009 , D010 ,
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61 4 e,87.1987 717 e 304 j 61 7 real,59 714 real.14 i
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421 type,4 124 ep 3,es.312,1037,1039,1044,104S,1053,1079 62 e e,130,1134 729 cy,3,um,312,1124, n 29.1052,1054.10S7,1078 f29 type.S 730 sp.3,um,312,1073,1061.11H,11H 1De 630 e.134.1130 731 ap,4,ux,306,1009,1010 631 rem 1.S9 112 ep, S,us,307.1015,1014 632 type,6 733 ep.6,as,30s,1023
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122 P. 3 H 200E-03 0. 7 87411E-02 0.7204745-02 24 -3.39594 0.1512413-02 3.44429 1 124 0.43404?E-05 0.F404575-02 0.720479E-02 27 -E.443 50 0. 271204E-02 0.244509 129 -0. 29118 3E-03 0.9 23592-05 0.7204453-02 24 -S.77323 0.2441415-02 0.7434623-02 127 -0.3441495-03 0.1443993-04 0.429391E-02 . 29 -S.41754 0.304729E-02 +0 24M77 129 -0. 325e 39E-03 0.109 3 MS-04 0.7441143-04 30 -4.53018 0.4H1SSE-02 -0.57e605E-01 HO 0. 474 DOS-05 -0. 424 sSSE-04 0. 23 M072-05 31 -4.51349 0.4M279E-02 -0.S53060E-01 131 -0.31599 E-03 -0.140404E41 0.2374305-64 - 12 -4.42247 0.2342933-02 -0.49445S3-01 H2 0.114698E-02 -0.1404065-01 -0.Sa34013-03 35 -4.24942 -0.460S70E-03 -0. es4 M4E-01 132 -0.352v10E-03 -0 4sn243-02 0.344445E-03 37 -3.91915 -0.444441E-02 -0. 444054E-01 134 0. 9 H MSE-03 -0.4411293-02 -0.571771E-03 34 -0.214212 -0.221221E-01 -0. 480490E-01 304 0.3844493-04 -0.4310493-09 0.3H095E-64 39 -0.40490S3-02 -0.2144425-01 -0. es0107E-01 304 0.109 5 ME-01 0. H029 43-07 0.132494E-OS 40 0.20124 -0.7142148-02 -0.477S90E-01 360 0.20SSME-OS -0.5024745-07 c.175424E-05 41 0.2eBe29E-01 0.6714175-02 -0.4M499E-01 1 43 0.7925243-02 0.245S30E-02 -0.2aS429E-01 44 0.791735E-02 0.544947E-03 -0.2211038-01
"* AsE5YS - MeGINEERING ANkt.TSIE SYSTEM REVISIM S.O * *
- 45 0.7894505-02 -0.4359795-02 -0.440Mos-02 40414-2 WItsIcts=5UN4f7&EC 15:5S 12 OCT H.199S CP= 111.140 1 FOR SUPPORT CALL 4HORIE FEE
- AMETS - ENGI3EERING AMhLYSIs sYSTat BEV!s1Caf S.O *****
noem) enslysis of Oeuapied system c t presariser aprey line & butleing 40414-2 WEtsICue=subsesPAEC 15:55s12 Oc? 11,1995 CPe H1.240 POR SUPPORT CALL FtEEfE Ph5
- AMSTS WEESION FOR EDUCmT20mmL Pukrosts OHLt** ,
a ***** EEDUCED EICEMvE10E (IKIDE EDEPE3 30L27TICH ***** FREQUpecT e 1.3145 **amsYs TEtsIme FOR EDUChTIcamL puRposEt Ott.Y" 2AhD 8TEta 1 IEE)E e 1 Clat. ITER.= 1 mars - ALL TETOR DOPS ARE In m' C00EDIMhTE SYSTENE. EEDUCED EIGBfVECTOR (IALDE SHkFE) E0ERTICEB **"* FEEQUWECT
- 1.5447
'""mhD 1 STEPe 1 udDE e 2 Ctat. I1EE.e 2 ImDE tet UT UE EDTI EDTT eor 5 ,.
310 0.1411473-05 -0.279424E-04 0.27151st-05 IsDTE ALL TECtet scrs ARE TE MODAL COWIDIMk?E SYSTEldB. L 313 0.5137512-05 -0.4250293-04 0.2H1795-OS 9001 0.420457w-02 -0.9458993-01 0.140409 NODE RfE UT UE EDTI BOTT EOFE 9004 0. 672594E-02 -0.5413415-41 0.144S74 44 0.7543275-02 -0.131223E-01 0 139013E-01 9005 0.3940SE-01 -0.1444435-01 -0. 3960ME- 01 47 0.754430E-02 -0.1147ME-01 0. 316470E-01 9004 0.4139195-01 -0.3471095-01 -0.147407 da 0.7153135-02 -0.91a594E-02 0.299243E-01 9005 +0.949025E-01 -0,18MS&B-01 0.344024 49 0.753039 & O2 -0.49M45E-02 0.244434E-01 9004 -0.214419 -0. 547 719h01 0.90SS43 60 0.7507593-02 -0.4204473-02 0.2 34153E-01 L 9007 -0.419391 -0.142792E-01 1.44.73 S1 0.7500Ms-03 -0. n 942 SE-02 0.224971E-01 9000 -0.424285 1.75329 52 0.7475715-02 -0.H S241E-03 0.1904415-01 9009 -3.14061 -0. 49M093.01 0.1842375 01 4.01471 53 0.1345145-02 0.9727955-02 9. 404795E-02 5 9010 -1.11444 0.1900943-01 S .499 H 54 0 *20217E-02 0.214:SSE-01 0.4402943-03 9011 1.94441 0.1944SSE-01 s.54494 55 0.7194723-02 0.214591E-01 0.40Hs1E-03 9012 3.29910 0.1942033-03 3.76477 5m 0.5946945-02 0.23 744SE-01 0.144S413-02 a tell S 0.1994275-01 1.49198 SS 6. 514 D4E-02 0.2420945-01 6.144S446-03 9014 4.94440 71941 0.2014440-01 9.430374 54 0.4514HE-02 0.24S7415-01 0.144421E-02 eels 4. SMS3 0.2043455-01 -0.230177 69 0.347579E-02 0.250726E-01 0.1444748-02 l
csEBodal.out- 32nc5 cT=M-1. cue . 32nos 313 -0.42973 5E-05 -0.101TrebOS 6.409Y9E-05 40 0.2642S4E-03 0.2551135-01 0.14412SE-02 -0. 2 M495 0.14477st-02 9001 -0.1900045-01 -0.4207905-02 41 0.2299725-02 0. 2 Se9 5 75-01 9002 -0. 21349 3E-01 -0.19040aE-02 -0.252109 42 0,2249415-02 0.2S92575-01 0.1447192-02 9003 -0.136412 -0. se4 340E-03 -0.520323 43 0.1414315-02 0.24a5275-01 0.1090125-e2 9004 -0.175534 -0.1049123-02 -0.455700 64 0.1422735-02 0. 2042 3 4E-01 0.145050E-04 9005 0.510991 -0.11720 3E-02 0.944951 41 0. 3 62 47 4E-02 0.1834023-01 -0.3340445-03 9004 2.235a7 0.142920E-01 -0.5439745-03 1.00074 -0.1223455-02 44 0.112403E-02 9001 1.42418 -0.2740393-02 3.94448 47 0.143042E-02 0.145S19 del -0.1414115-63 9004 4.05931 0.13H49E-01 -0.442844E-03 1.43044 -0.9049945-02 SS 0.143240E-02 9009 0.235441 -0.91042aE-03 4.70449 49 0.143401E-02 0.121342E-01 -0.9294615-03 -0.4543295-03 0.112 404 E-61 0. 962712E-0 3 9010 0.278230 7.0s164 TO 0.143S025-02 9011 -1.05735 0.451454E-03 6.24441 11 0. 3 4312 7E-02 0.929727E-02 -0.9210043-03 5.35541
-0.7774943-03 9012 -2.04744 0.102SS4E-02 72 0.1441315-02 0.14HISE-02 9013 -4.41013 0.19124SE-02 2.51944 73 0.145924E-02 0. 7 3 3144E-0 3 0.2424345-02 0.2312175-02 2.25444 0.174445E-03 0 314340E-02 9014 -5.19472 74 0 144H OE-02 9015 ~ 5.423e9 0. 350se sE-02 0.363HS TS 0.1445343-02 -0.7992a9p03 0.4823735-02 0.393020E-02 -0.222757
-0.1174a03 02 0.437450F02 9014 -5.14413 14 0.144938E-02 9017 -2.49042 -0.1371533-01 -0.442s495-01 77 0.1674443-02 -0.144765s 02 0.7014253-02 -0.199315E-01
-0 232850E-02 0.??93161-02 9014 -1.13944 -0.4s1480E-01 14 0.1473445-02 9019 0,300921 -0.114400E-01 -0.478450E-01 99 0.1444355-02 -0.4944e%E-02 0.2414375-02 9020 0.171990E-02 -0. 2H 3173-01 0.4531a;>01 80 0.16a 320E- 02 -0. 715399 E-62 0.9e1170E-03 0. 7 7944st-82
-0. 7457 20E-02 0.411135E-03 9021 0.144410E-02 -0.5011433-02 61 0.164264 E-02 9022 0.1947113-02 -0. 331100E-02 0. 204*40E-03 62 0.199140E-02 -0.716444E-02 0.2094325-03 0.5M3ME-02
-0.4425483-05 0.19e244E-03 9023 0.177945E-02 -0.523401E-02 43 0. 444121E-03 9024 0.140104E-03 -0. 27413 7E-05 0.141914E-03 44 0. 3 24121E-03 -0. 50909 3E-05 0.1917405-03 85 0.2434uB-03 -0. 39147 5E- 03 0.197M45-03 M&EIBREES 1 WODE 29 11 22 0 0 0
""* WALUE -5.81754 0.109797 7.09924 0. 3. 6.
- "* AMEtt E30GIEEERIMG A.M<$15 SYSTEM REVISION S.0 40414-2 YEE51CBNSUN4EFAac 15:55 12 OCT 11.1995 CP. 111.240 1 pcR stJF70RT CA12. 59EltfE FA4 REVISIcts 5.0 * * "
- undal analysis of soupled erstem of peeeuriser oprey line a heildAne ""* ANsTS - ENGIMEERING.AMkLY415 40414-2 VEksI0m Stas 4Sramc SYSTER 15:56a12 OCT 11,1995 cm= 111.150 POR SUPPCET CALL pHCelt ygE
- npSTS VE.RSICus FOR EDUChTItst&L PURPOSES WLT**
Itotal analysis et coupled system of presuriser opray line 4 imailding me... REDUCED EIGINVEPTOR 1310DE EHkFE) SCLIFriat **"* FREQUENCY e 1.1447 "ANETS VEmEIGN FOR EDUr ATIct&L FUFJosES QuLY**
man gTEh 1 selos e 2 Ctat. ITER.m 2 gEgg . A14 TECTOR DNE ARE IN Macht C00RDIntTE ETSTEMS. ""* EEDUCED EIGMEE'NR (M Hm NN "*" MIQUEMU e 2.M LDhD 8?RP= 1 NDDE o 3 Ctas. 2TER.. 3 pope r3 t.fT 11 ROTE ROTY ROTS 34 4 357003E-04 -0.18144em-64 0.6919995-04 38075 - ALL TECTOK DcFS ARE IN 3 DEAL C00RDIMATE SYSTEMS.
37 -0. 31aOSSE-CS -0. 240900 bed 0.311S54E-04 RO*E BCPf7 ROTE 0.233307E-01 3IODE UE UT UE 91 0. 5a42075-02 -0.114770E-01 1 0.1455113-06 0.2444475-07 0.597044E-07 92 -0.7044475-03 -0.1147 50E-01 0.154H4E-01
-0.1905412-03 93 -0.1844S28-02 - 0. 42 7944E-02 0.1169345-01 2 -0.444115E-en 0.3981193-02 94 -0.142270s-02 -0.41415S5-02 0.118se?E-01 3 -0.14213 5E-02 0.h4874E-01 +0.118950E-02 95 -0.3446018-02 0.1137543-01 4 -0. 20S454E-02 0.274341 0.2771312-01
-e 5 -0.2171475-02 0. 514121E-01 94 -e.939928E.03 5445a 5E 03 -0. 213097E-02 0.1144493-01 0.441003 0.493423 0.454421E-01 97 -C . 54a02 9 3- 03 -0. 204640E-02 0.11a4415-el 4 - 4.1434 30bO1 to 4.3447473-03 -0.144940E-42 0.1t4 J043-01 7 -0. 904143E-01 0.493425 0.444133E-01
-0.188430E-02 0 M4124E-01 9 0. 2 44902E-61 0.493475 0.402 341E-62 100 e . 403 3 553-03 10 9.493472 0.115044E-02 301 0.1034993-02 -0 1944275-02 0.94959es-02 0.293SS9 102 0.1379635-02 -0.1687s?I-02 0.4137182-02 11 4.24503 0.493427 -0.194831 103 0. 3 6494 7E-02 0.2379693-41 0. s242 aas-03 12 4.814a1 0. 49341e -0.242221 164 4. 3455043-C2 0 207603E-01 0.4495ME-03 13 4.98941 0.329020 -0.215430 t ot 0.1e56313-02 0.1641ME-01 0.2597745-03 14 4.9s970 0.220712 -0.140972
- 0. 344 hS 3 E-02 0.3844285-01 0.44401st-03 IS 4.94975 0. 53 3124E-02 -0. 3 99943E-01 104 107 0.142120E-02 0.14s9145-01 -0.3744393-03 14 4.9sta3 -0.340224 0.244233 209 a. 31cSO93-02 0.1422415-01 -0.843719h03 17 4.94494 -0.420240 0.3C1145 111 0.20212iE-02 9.139104E-01 -0.6432648-03 le 6. e4481 -0.432010 0.403377 112 0.1812745-02 0.137S12E-01 -0.e430393-03 19 4.71137 -0.402434 0.55c442 113 0. 201504E-02 -0. 3 54 3 42E-02 0. 949570E-02 20 4.30188 -0.104044 0.944525 114 0. 3s9 340E-02 -0.4345173-02 0.949S50E-02 21 4.17429 -0. 342 984E-01 0.991240 115 0,3 32744E-02 -0. 44 712 3E-02 0.9495295-02 22 0.54S992 -S . SS10075-01 0.6913S75-01 114 0. 42190aE-02 0.9494944-02 23 -0.3094458-02 -0. 354542E-01 0.440641E-01 lie 0. 432041E-02 -0.5240245.02
-0.524227E 02 0.9442029-42 24 -1.10449 -0.3S57418-01 -0.2431445-01 120 -0. 20$40?t-03 -0. 62 H 42 E-02 -0,2S42393-02 2S -S.99321 -0.3501133 01 -0.224015 122 -0.2043113-03 -0. 415040E-02 -0.3245415-02 24 -4.12975 -0.3S02315-01 -0.223822 124 -0.4182913-05 -0. 3 24154E-02 -0. 324 5e 3 3-02 21 -2.491Sa -0. 344421E-01 -0.3219423-01 12S e . 40071 ?E-03 -0.S180455-03 -0.32443S5-01 28 -1.71458 -0. 34414 3E-01 -0.14445sE-04 121 0. 5094913-O F -0.103951E-04 -0.2749165-02 29 -0.100247 -0.34H14E-01 0.4468333-61 129 S.4076415-03 -0.454449E-OS 0.1041313-05 30 9.49429 -0. 33133 3 E-01 0.9441443-01 130 -0.5444323-05 -0.1017443-05 0.4G14708-OS 31 9.77538 -0.3472422-01 0.941970E-01 131 0.21003 3 bO3 0.18 3403E-01 -0.1750645-03 32 9.47441 -0.312220E-01 0. ass 99aE-01 132 -0 16e 22 3E-02 0.143403b01 -0.3487913-04 36 9.49904 -0.24S1195-01 0.44207DE-01 2n 0.3494252-03 0.929730E-02 -0.3349475-03 37 4.85494 -0. 202007E-02 0.44304SE-01 134 -0. 644942E-03 0.9297323-02 0.2400375-41 38 0.446759 0.134275 0.6421475-01 304 -0. 459421E-04 0. 20913 2E-09 0. 43 38 3 4E-04 39 0.9432425-02 0. D6402 6.842170E-01 See -0.1123642-0S 0. 3 39 71SE-07 0.253 alas-OS 40 -0.445191 0. 84843 SE-01 0.842134E-01 104 -0.2732492-OS -0.1120435-64 0.3292322-05 41 -0.59242a5-01 0. 444910E-01 0.44210SE-01 3
43 -0.1754295-01 0.125054E-01 0. 47s444E-01 44 -0 195240E-01 0.3740475-02 0. 3 51520E-01
"*** AMETE - ENGINEERIME ANALYSIS SYSTEIt EIRFISICW S.O *"*e gg 0.1747405-01 -0.149099E-01 0.555934E-02 40414-2 TER$1CM-suis 4SP4Ac 15 55 12 OCT 11,1995 CF. 111.320 1 FCE SUF90ET C114 PMDNE FAX
- AN8TS - ENGIMEIRING 6MALTEIS ETSTMs EEVISIGs 5.0 *****
enadal emaltets of eenples erstem of presor teer spray line a heildinD 40414-2 WEss3(as-s.InesFABC 15 5 San OCT 11,199S CFw 111.400 FOR SUFFCET CALL FIEEEE FAI naseETS VEsit<BI FOR EDUCATIOpthL FURPOEES ONLY**
BEndal entlysis of omspled eTotee of presuriser spray line & building
- w'** ESDUCED RIGensvmok (igrJCE 53&PE) 00tlP*IGt "*** FREQUE3F'T = 1,S441 "ANSTE VERSICIE FOR EDUCATICBEL FUE70SES (BELT **
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- "okD L STEPS 1 nude o 3 Ctat. 2TER . = 3 pCES tEt UT US ROTE ROTT BOTE 310 -0.4531142-05 -0.4444915 04 0.4764013-05 300TE - AIL WER* TOR DOFS ARE IN WODhL COQEDIERTE SYSTENS.
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1 73 0.117323 -2.24237 0.159701E-01 14 0.157323 -2.32123 0.4a294%01
- a ausY3 - E3a1T)mIERDt3 AMkLYSIS SYSTEN REVISICH S.O ***** 75 0.151322 -2.44994 0.1110a4 40414-2 VERSIGS-State $PAaC 1SiSSs14 OL"? 11, 1991 CPe 112.470 74 0.117314 -2.40447 0.147440 FCa SUPPORT CALL frEDrE FAR 77 0.117429 -2.47142 0.191442 74 0.117327 -2.74340 0.223499 sendal analysis of eeupled eyetesi of see.oriser oprey line a bullame 79 0.151213 -4.04110 c.193242 40 0.157144 -4.14434 0.154424 "ANE78 VENs10H POR EDUCATIGMAL PUDDOGES coK.T** 41 0.157177 -4.19S24 0.344442 42 0.3422S4 -3.91459 0.139714 83 0.4101443 01 -0.355914 0.136314
- N SEDUCED { MODE ORPE) SOLUTItEB FREQUEMCY e 4.0409 44 0.3274315 01 -0.257874 0.139391 14kB STEP E10ENVECTOR 1 Ke3 e 10 Clat . ITER .s "o*"
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4 0.1e4492E-01 0.532032 1.003e 7 7 0. 3J42925-02 0.S32047 0.94S129 9 -0.4449493-02 0.532449
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24 0.903099 0.609711 0.4782433-01 103 0.1044S4 3.29493 -0.10235S 29 1.04231 0.S04442 -1.72932 104 0.107244 1.15749 -0.173443 30 -0.441164 0.603479 -0. 3445e1 106 0.107435 1.S4743 -0.210149 31 -0.443529 0.S03430 -0.299937 104 0.107421 1.34127 -0.244414 32 -0. 7 271M 0.462542 -0.174447 107 0.104324 0.502957 -0.290374 15 -0.741174 0.337153 -0.124257 109 0.121307 0.251410 -0.379414 37 -0.743473 0.241400E-01 -0.1M020 111 0.151239 -0. 412 41bE-01 -0.279440 le -0.102145 0.949504 -0.123189 112 0.154442 -0.194446 -0. 2794M 19 *0.141194E-02 1.17126 -0.122479 113 0.3044118-01 -3.09339 0.771401 40 0. 201M1 1.1460S -4.120744 114 0.4957048-01 -3.26111 0.771442 41 0.3944242-01 0.2SMC9 -0.119440 115 0.109774 -3.40441 0.771942 43 -0.342M4E-02 0.1430113-01 -0. s4944tE-01 114 0.149922 -3.47s30 0.772021 44 -0.,3428193-02 -0.leM405-01 -0.7127S25-01 114 0.142449 -3.47131 0.7449M et -0.3431203-02 -0.112743 -0.3S44445-01 120 -0.5030293-01 -1.472S1 -3.32710 1 122 -0.3141915-01 ~ 5.09127 -3.49103 324 -0.13 7494> 02 -2.32941 -3.49096
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1.99524 0.437415 1 O. 72 -0.245352 2.41316 8.345422 73 -0.245J79 3.44493 -e.1472135-31
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- PEDUCED RIGE3fv3MOS (HODE SIRPEl acEEf!GI ***** 83 -0.4462703-01 0.424513 -0.244171 IJ3AD BTEPe PREQUERICT m S.2743 e4 -0.14491st-01 1 3EES e 11 cf.at. ITES.e 11 0.4H414 -6.244141 SS -4.4520e4E-41 S.339033 -0.244119 upFE - A14 TE!rTok DOP3 ARE IB MatthL COORDIma'E SYSTEsts. 1 uoDE 12It tT UE EDTI *** AIESTS - BIG:3RRE!380 ANALYSIS SYSTER BETIEIGE $.S ***
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6 0.402426E-02 0.370153 0.531044 **ANSTS VERffW POR EDUCATIGELI. PUR20$ES (EE.T**
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- 42 0.401271E-01 0.4302452-01 -0.5522433-02 9023 0.102700 , -0.454002E-02 -0.2 412ME-02 I 43 0.4414415-01 0.6914985-42 -0.553434 0 02 9024 0.4040e3E-01 -0.1321948-05 9.4495015-02 84 0.4280333-01 0.441940E-02 -0.5534923-02 85 0.4144455-01 0.310133E-02 -0.563730E-02 EEE TIEEEE '
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