Modal Mass Participation (Effective Weights)
From MSC.NASTRAN

Jeff Bolognese
Goddard Space Flight Center

Page updated October 2008

MSC/NASTRAN version 2001 and beyond has the capability to extract modal mass participation directly from nomal modes analysis. No DMAP is required and it can be used with the normal modes solution sequence. The following is a sample executive and case control deck for a normal modes run with modal mass extraction. The cards that are specific for the modal mass extraction are shown in bold.

Sample Input

ID XYZ,MODALWT 
SOL 103 
TIME 10 
APP DISP 
CEND 
TITLE=XYZ TEST VERIFIED MODEL (english - renumbered) (08/96) 
SUBTITLE=FIXED BASE DYNAMICS W/ASET 
SPC=1 
echo=none 
SPCFORCE=ALL 
METHOD=100 
MEFFMASS(ALL)=YES 
BEGIN BULK 

Sample Output


           M O D A L   E F F E C T I V E   M A S S   S U M M A R Y



                           TOTAL EFFECTIVE MASS FRACTION
                 REFERENCE POINT AT ORIGIN OF BASIC COORDINATE SYSTEM


     T1                T2                T3                R1              R2             R3
3.948519E-01      7.700374E-01      9.790530E-01      9.802241E-01    5.374004E-01    4.438883E-01

(This is the total percentage of mass represented in the number of modes extracted in the EIGR card)



                                 EFFECTIVE MASS MATRIX   
***                                                                                  ***
*   1.301470E-02 -1.445757E-05  6.120819E-04 -1.217158E-02  7.967635E-01  2.766647E-01 *
*  -1.445757E-05  2.536148E-02 -3.641499E-04  3.149053E-03 -8.146847E-04 -3.397166E-04 *
*   6.120819E-04 -3.641499E-04  3.227054E-02 -6.531930E-01  2.772698E-02  1.234497E-02 *
*  -1.217158E-02  3.149053E-03 -6.531930E-01  1.323802E+01 -5.505087E-01 -2.455033E-01 *
*   7.967635E-01 -8.146847E-04  2.772698E-02 -5.505087E-01  4.954358E+01  1.663506E+01 *
*   2.766647E-01 -3.397166E-04  1.234497E-02 -2.455033E-01  1.663506E+01  6.176721E+00 *
***                                                                                  ***

                                 A-SET RIGID BODY MASS MATRIX
***                                                                                  ***
*   3.296097E-02  9.154070E-21 -5.196499E-20  9.980221E-19  1.717233E+00  6.654800E-01 *
*   9.154070E-21  3.293540E-02 -6.146909E-22 -5.571844E-05  3.835558E-19  1.002346E-04 *
*  -5.196499E-20 -6.146909E-22  3.296097E-02 -6.654800E-01 -9.742095E-05 -9.906851E-19 *
*   9.980221E-19 -5.571844E-05 -6.654800E-01  1.350510E+01  1.926013E-03 -2.541951E-05 *
*   1.717233E+00  3.835558E-19 -9.742095E-05  1.926013E-03  9.219119E+01  3.458480E+01 *
*   6.654800E-01  1.002346E-04 -9.906851E-19 -2.541951E-05  3.458480E+01  1.391504E+01 *
***                                                                                  ***

                                          MODAL EFFECTIVE MASS FRACTION (Translations Only)

MODE   FREQUENCY                     T1                                  T2                                  T3
NO.                      FRACTION            SUM             FRACTION            SUM             FRACTION            SUM

1    3.443978E+01      1.087428E-07      1.087428E-07      2.878337E-01      2.878337E-01      4.671222E-04      4.671222E-04
2    9.164602E+01      1.037630E-07      2.125058E-07      3.013015E-03      2.908467E-01      1.752554E-01      1.757225E-01
3    9.314177E+01      1.176210E-06      1.388716E-06      8.141640E-06      2.908548E-01      8.531422E-05      1.758078E-01
4    9.319604E+01      6.164517E-09      1.394880E-06      4.916736E-07      2.908553E-01      6.009478E-05      1.758679E-01
5    1.190980E+02      5.566692E-04      5.580641E-04      7.114702E-05      2.909265E-01      3.210024E-07      1.758682E-01
6    1.246129E+02      4.152403E-05      5.995881E-04      1.206140E-01      4.115404E-01      2.999131E-06      1.758712E-01
7    1.332887E+02      1.709978E-07      5.997591E-04      1.782257E-01      5.897661E-01      3.270761E-04      1.761983E-01
8    1.387781E+02      1.097554E-07      5.998688E-04      9.015527E-02      6.799214E-01      1.928480E-04      1.763912E-01
9    1.720068E+02      5.168283E-06      6.050371E-04      3.729035E-07      6.799218E-01      8.354106E-07      1.763920E-01
     (etc...)


                                          MODAL EFFECTIVE MASS FRACTION (Rotations Only)
 
MODE   FREQUENCY                     R1                                  R2                                  R3
NO.                      FRACTION            SUM             FRACTION            SUM             FRACTION            SUM

1    3.443978E+01      5.643318E-04      5.643318E-04      1.352309E-07      1.352309E-07      1.171721E-07      1.171721E-07
2    9.164602E+01      1.997144E-01      2.002787E-01      3.633747E-07      4.986056E-07      2.032208E-07      3.203930E-07
3    9.314177E+01      9.733624E-05      2.003761E-01      1.086912E-06      1.585518E-06      1.360715E-06      1.681108E-06
4    9.319604E+01      6.838387E-05      2.004444E-01      2.265038E-09      1.587783E-06      1.896154E-09      1.683004E-06
5    1.190980E+02      2.877842E-07      2.004447E-01      5.968428E-04      5.984306E-04      1.837002E-02      1.837171E-02
6    1.246129E+02      8.937288E-06      2.004537E-01      3.818008E-05      6.366107E-04      6.438512E-05      1.843609E-02
7    1.332887E+02      4.437017E-04      2.008974E-01      7.682432E-07      6.373789E-04      7.551849E-07      1.843685E-02
8    1.387781E+02      2.582847E-04      2.011557E-01      5.440199E-09      6.373844E-04      3.157543E-08      1.843688E-02
9    1.720068E+02      6.662045E-07      2.011563E-01      5.183653E-06      6.425680E-04      5.199454E-06      1.844208E-02
     (etc...)

                                              MODAL PARTICIPATION FACTORS

MODE   FREQUENCY            T1                T2                T3                R1                R2                R3
NO.

1    3.443978E+01     -5.986876E-05     -9.736486E-02     -3.923876E-03      8.730038E-02     -3.530878E-03     -1.276892E-03
2    9.164602E+01      5.848186E-05     -9.961669E-03     -7.600386E-02      1.642304E+00      5.787913E-03      1.681614E-03
3    9.314177E+01     -1.968985E-04     -5.178302E-04     -1.676914E-03      3.625652E-02     -1.001018E-02     -4.351368E-03
4    9.319604E+01      1.425442E-05     -1.272535E-04     -1.407403E-03      3.038965E-02      4.569645E-04      1.624347E-04
5    1.190980E+02     -4.283498E-03      1.530770E-03     -1.028618E-04      1.971435E-03     -2.345712E-01     -5.055883E-01
6    1.246129E+02      1.169903E-03      6.302753E-02      3.144110E-04     -1.098631E-02      5.932847E-02      2.993194E-02
7    1.332887E+02     -7.507498E-05     -7.661549E-02     -3.283405E-03      7.740952E-02     -8.415774E-03     -3.241670E-03
8    1.387781E+02     -6.014686E-05      5.449128E-02      2.521202E-03     -5.906065E-02     -7.081938E-04     -6.628523E-04
9    1.720068E+02      4.127368E-04      1.108229E-04      1.659396E-04     -2.999526E-03      2.186063E-02      8.505915E-03
     (etc...)

                                                  MODAL EFFECTIVE MASS   

MODE   FREQUENCY            T1                T2                T3                R1                R2                R3
NO.

1    3.443978E+01      3.584268E-09      9.479916E-03      1.539680E-05      7.621356E-03      1.246710E-05      1.630454E-06
2    9.164602E+01      3.420128E-09      9.923486E-05      5.776588E-03      2.697162E+00      3.349994E-05      2.827825E-06
3    9.314177E+01      3.876902E-08      2.681481E-07      2.812040E-06      1.314536E-03      1.002037E-04      1.893440E-05
4    9.319604E+01      2.031885E-10      1.619346E-08      1.980782E-06      9.235310E-04      2.088166E-07      2.638505E-08
5    1.190980E+02      1.834836E-05      2.343255E-06      1.058055E-08      3.886554E-06      5.502365E-02      2.556195E-01
6    1.246129E+02      1.368672E-06      3.972469E-03      9.885427E-08      1.206990E-04      3.519867E-03      8.959212E-04
7    1.332887E+02      5.636253E-09      5.869933E-03      1.078075E-05      5.992234E-03      7.082525E-05      1.050842E-05
8    1.387781E+02      3.617645E-09      2.969299E-03      6.356459E-06      3.488161E-03      5.015384E-07      4.393732E-07
9    1.720068E+02      1.703516E-07      1.228172E-08      2.753594E-08      8.997157E-06      4.778871E-04      7.235059E-05
     (etc...)

The type of information presented by the MEFFMASS card can be modifed. Check the MSC user manual for information on the parameters available for this card.

Jeff Bolognese

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