MSC.NASTRAN Sine Vibration Frequency Response ExampleFollowing is an example of a NASTRAN swept sine frequency response analysis run. All the NASTRAN cards necessary to perform a frequency response run are described here. Comments follow the card (or cards) being described. The frequency response-specific cards are in bold. The model is a simple cantilever beam with 48 elements and 49 nodes. It lies along the Y-axis with the first node, 101 at the origin. The downloadable data file can be found at the bottom of this page. NOTE: This method will only work for MSC's version 2001 or later of NASTRAN because they (finally!) did away with the large mass needed to do frequency response runs. This method is extremely similar to UAI's version of frequency response runs. (See notes below for the differences.) If you are using MSC/NASTRAN version 70.7 or earlier, then you still need to use the large mass. An example of this method is given on the Random Vibration Seismic Mass Frequency Response page. Don't know what Double Amplitude (D.A.) means? An explanation is available. Index: $EXECUTIVE CONTROL DECK ID SINE,TEST SOL 111 Modal Frequency Response Solution Number$ TIME 10 CEND $ $CASE CONTROL DECK TITLE = SINE VIBRATION EXAMPLE MODEL SUBTITLE = 48-ELEMENT CANTILEVER BEAM ON THE X-AXIS LABEL = Y-DIRECTION SINE INPUT $ Beam is along the X-axis and is 48 inches long $ ECHO = NONE $ SPC = 1 METHOD = 1 DLOAD = 10 SDAMPING = 20 FREQ = 40 METHOD refers to EIGRL card;
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The eignevalue and frequency table from the .F06 file is given below. It gives the frequency range requested in the EIGRL card, 0-500Hz. Note that the frequencies listed in this table under CYCLES correspond with the peaks in the plot at the bottom of the page.
SINE VIBRATION EXAMPLE MODEL 48-ELEMENT CANTILEVER BEAM ON THE X-AXIS Y-DIRECTION SINE INPUT R E A L E I G E N V A L U E S MODE EXTRACTION EIGENVALUE RADIANS CYCLES GENERALIZED GENERALIZED NO. ORDER MASS STIFFNESS 1 1 5.673224E+03 7.532081E+01 1.198768E+01 1.000000E+00 5.673224E+03 2 2 5.673224E+03 7.532081E+01 1.198768E+01 1.000000E+00 5.673224E+03 3 3 2.220890E+05 4.712632E+02 7.500386E+01 1.000000E+00 2.220890E+05 4 4 2.220890E+05 4.712632E+02 7.500386E+01 1.000000E+00 2.220890E+05 5 5 1.733352E+06 1.316568E+03 2.095384E+02 1.000000E+00 1.733352E+06 6 6 1.733352E+06 1.316568E+03 2.095384E+02 1.000000E+00 1.733352E+06 7 7 6.614887E+06 2.571942E+03 4.093373E+02 1.000000E+00 6.614887E+06 8 8 6.614888E+06 2.571942E+03 4.093373E+02 1.000000E+00 6.614888E+06
The first data row gives frequency and magnitude, the second data row gives phase angle in degrees. The POINT-ID refers to the GRID point where the acceleration was recovered. Notice that for GRID 101 the response is the same as the input because GRID 101 is the shaker point.
SINE VIBRATION EXAMPLE MODEL 48-ELEMENT CANTILEVER BEAM ON THE X-AXIS Y-DIRECTION SINE INPUT POINT-ID = 101 C O M P L E X A C C E L E R A T I O N V E C T O R (MAGNITUDE/PHASE) FREQUENCY TYPE T1 T2 T3 R1 R2 R3 2.000000E+00 G 0.0 2.500000E-01 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.109742E+00 G 0.0 2.500000E-01 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.000000E+00 G 0.0 2.500000E-01 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 . . .
SINE VIBRATION EXAMPLE MODEL 48-ELEMENT CANTILEVER BEAM ON THE X-AXIS Y-DIRECTION SINE INPUT POINT-ID = 149 C O M P L E X A C C E L E R A T I O N V E C T O R (MAGNITUDE/PHASE) FREQUENCY TYPE T1 T2 T3 R1 R2 R3 2.000000E+00 G 4.345413E-17 2.221159E-01 1.012504E-12 0.0 3.272628E-15 1.007428E-02 181.9821 358.3475 178.8464 0.0 351.0273 180.8535 3.109742E+00 G 3.963935E-17 2.388943E-01 1.406906E-12 0.0 1.447238E-14 9.613853E-03 183.6875 357.3896 178.2196 0.0 355.5177 181.5473 4.000000E+00 G 3.502847E-17 2.593850E-01 1.322254E-12 0.0 1.189495E-14 9.052319E-03 185.9450 356.5729 177.8896 0.0 354.0833 182.3873 . . .
The following table give the output peak summary from the .F06 file.
SINE VIBRATION EXAMPLE MODEL 48-ELEMENT CANTILEVER BEAM ON THE X-AXIS Y-DIRECTION SINE INPUT X Y - O U T P U T S U M M A R Y ( R E S P O N S E ) SUBCASE CURVE FRAME CURVE ID./ XMIN-FRAME/ XMAX-FRAME/ YMIN-FRAME/ X FOR YMAX-FRAME/ X FOR ID TYPE NO. PANEL : GRID ID ALL DATA ALL DATA ALL DATA YMIN ALL DATA YMAX 1 ACCE 0 101( 4) 2.000000E+00 5.020000E+02 2.500000E-01 6.438968E+00 2.500000E-01 2.000000E+00 2.000000E+00 5.020000E+02 2.500000E-01 6.438968E+00 2.500000E-01 2.000000E+00 1 ACCE 0 149( 4) 2.000000E+00 5.020000E+02 1.527553E-01 5.020000E+02 3.915089E+00 1.198768E+01 2.000000E+00 5.020000E+02 1.527553E-01 5.020000E+02 3.915089E+00 1.198768E+01
There are two types of output given in the punch file. The first is the same as the output in the .F06 file shown above, but presented in an alternate form. First data row gives frequency and the magnitudes for T1-T3; second data row fives magnitudes for R1-R3; third and fourth data rows give phase angles for T1-R3 in degrees.
$TITLE = SINE VIBRATION EXAMPLE MODEL 1 $SUBTITLE= 48-ELEMENT CANTILEVER BEAM ON THE X-AXIS 2 $LABEL = Y-DIRECTION SINE INPUT 3 $ACCELERATION 4 $MAGNITUDE-PHASE OUTPUT 5 $SUBCASE ID = 1 6 $POINT ID = 101 7 2.000000E+00 G 0.000000E+00 2.500000E-01 0.000000E+00 8 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 9 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 10 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 11 3.109742E+00 G 0.000000E+00 2.500000E-01 0.000000E+00 12 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 13 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 14 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 15 4.000000E+00 G 0.000000E+00 2.500000E-01 0.000000E+00 16 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 17 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 18 -CONT- 0.000000E+00 0.000000E+00 0.000000E+00 19 . . .
$TITLE = SINE VIBRATION EXAMPLE MODEL 1180 $SUBTITLE= 48-ELEMENT CANTILEVER BEAM ON THE X-AXIS 1181 $LABEL = Y-DIRECTION SINE INPUT 1182 $ACCELERATION 1183 $MAGNITUDE-PHASE OUTPUT 1184 $SUBCASE ID = 1 1185 $POINT ID = 149 1186 2.000000E+00 G 4.345413E-17 2.221159E-01 1.012504E-12 1187 -CONT- 0.000000E+00 3.272628E-15 1.007428E-02 1188 -CONT- 1.819821E+02 3.583475E+02 1.788464E+02 1189 -CONT- 0.000000E+00 3.510273E+02 1.808535E+02 1190 3.109742E+00 G 3.963935E-17 2.388943E-01 1.406906E-12 1191 -CONT- 0.000000E+00 1.447238E-14 9.613853E-03 1192 -CONT- 1.836875E+02 3.573896E+02 1.782196E+02 1193 -CONT- 0.000000E+00 3.555177E+02 1.815473E+02 1194 4.000000E+00 G 3.502847E-17 2.593850E-01 1.322254E-12 1195 -CONT- 0.000000E+00 1.189495E-14 9.052319E-03 1196 -CONT- 1.859450E+02 3.565729E+02 1.778896E+02 1197 -CONT- 0.000000E+00 3.540833E+02 1.823873E+02 1198 . . .
The second type of output in the punch file is simply magnitude vs. frequency. This is useful for plotting the response curve in a spreadsheet.
$ACCE 0 101 4 2359 1 2.000000E+00 2.500000E-01 2360 2 3.109742E+00 2.500000E-01 2361 3 4.000000E+00 2.500000E-01 2362 4 4.219484E+00 2.500000E-01 2363 5 5.329226E+00 2.500000E-01 2364 6 6.000000E+00 2.500000E-01 2365 7 6.438968E+00 2.500000E-01 2366 8 7.548710E+00 2.500000E-01 2367 9 8.000000E+00 2.500000E-01 2368 10 8.658452E+00 2.500000E-01 2369 11 9.768194E+00 2.500000E-01 2370 12 1.000000E+01 2.500000E-01 2371 . . .
$ACCE 0 149 4 2653 1 2.000000E+00 2.221159E-01 2654 2 3.109742E+00 2.388943E-01 2655 3 4.000000E+00 2.593850E-01 2656 4 4.219484E+00 2.656025E-01 2657 5 5.329226E+00 3.060393E-01 2658 6 6.000000E+00 3.399080E-01 2659 7 6.438968E+00 3.673210E-01 2660 8 7.548710E+00 4.637839E-01 2661 9 8.000000E+00 5.194165E-01 2662 10 8.658452E+00 6.282840E-01 2663 11 9.768194E+00 9.536485E-01 2664 12 1.000000E+01 1.063987E+00 2665 . . .
Below is a plot of the data given in the punch file (sine_test.pch). It shows the input and the response. The input is a straight line at .25 G. The response shows the peaks corresponding to the modes of the beam.
You can download the three files for this example to run and study:
sine_test.dat, sine_test.f06, and sine_test.pch.
Ryan Simmons
July 2001, updated September 2007
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