WS11 -1 NAS105, Workshop 11, May 2005 WORKSHOP 11 STIFFNESS ANALYSIS OF BODY IN WHITE

WS11 -2 NAS105, Workshop 11, May 2005

WS11 -3 NAS105, Workshop 11, May 2005 Tasks n Define statically determinate constraints n Perform basic model checks u Element geometry tests u Mass Checks u Load Resultants n Determine the torsion and bending stiffness u Reaction Forces u Bending and Torsion Lines

WS11 -4 NAS105, Workshop 11, May 2005 Problem Files n Required Files: car_bw.dat : Model of the Body in White tracelines.dat : Plot Elements defining Trace Lines n Solution File: ws11s.bdf : Proposed Solution

WS11 -5 NAS105, Workshop 11, May 2005 Model Units: N, mm, s

WS11 -6 NAS105, Workshop 11, May 2005 Problem Data n Constraints u Apply a set of statically determinate constraints at grid points and (rear axle: left and right spring) and and (front axle: left and right spring strut) n Loads: u Bending: Define a gravitational acceleration of 9810mm/s. u Torsion: Apply an enforced motion at the front axle such that the left grid point moves up 1mm and the right grid point moves down 1mm

WS11 -7 NAS105, Workshop 11, May 2005 Problem Data: Grid Points for Constraints

WS11 -8 NAS105, Workshop 11, May 2005 Problem Data: Mass Properties Total Mass:411kg Center of Mass:x1534mm y0mm z301mm

WS11 -9 NAS105, Workshop 11, May 2005 Proposed Set of Constraints

WS NAS105, Workshop 11, May 2005 Input Deck $ Body in White: Stiffness Analysis $ $ Executive Control Statements $ SOL 101 DIAG 8 CEND $ $ Case Control Commands $ TITLE = Body in White: Stiffness Analysis ECHO = SORT(EXCEPT, CQUAD4, CTRIA3, CBEAM, PSHELL, PBEAM, GRID) $ SPC = 1 $ EQUILIBRIUM MAXMIN(BOTH=2, DISP, COMP=T1/T2/T3) = ALL $ $ Body in White: Stiffness Analysis $ $ Executive Control Statements $ SOL 101 DIAG 8 CEND $ $ Case Control Commands $ TITLE = Body in White: Stiffness Analysis ECHO = SORT(EXCEPT, CQUAD4, CTRIA3, CBEAM, PSHELL, PBEAM, GRID) $ SPC = 1 $ EQUILIBRIUM MAXMIN(BOTH=2, DISP, COMP=T1/T2/T3) = ALL $

WS NAS105, Workshop 11, May 2005 Input Deck (ctd.) DISP(PLOT) = ALL STRESS(PLOT) = ALL ESE(PLOT) = ALL $ SPCF = ALL $ SUBCASE 1 LABEL = Torsion LOAD = 10 $ SUBCASE 2 LABEL = Bending LOAD = 20 $ BEGIN BULK $ DISP(PLOT) = ALL STRESS(PLOT) = ALL ESE(PLOT) = ALL $ SPCF = ALL $ SUBCASE 1 LABEL = Torsion LOAD = 10 $ SUBCASE 2 LABEL = Bending LOAD = 20 $ BEGIN BULK $

WS NAS105, Workshop 11, May 2005 Input Deck (ctd.) $ Bulk Data Deck $ PARAM, POST, 0 $ Results to.xdb $ $ Activate Grid Point Weight Generator PARAM, GRDPNT, 0 $ $ Output all Strain Energies PARAM, TINY, 0. $ $ Constraints, Bending $ $ Rear Suspension SPC1, 1, 123, SPC1, 1, 13, $ $ Front Suspension SPC1, 1, 3, SPC1, 1, 3, $ $ Bulk Data Deck $ PARAM, POST, 0 $ Results to.xdb $ $ Activate Grid Point Weight Generator PARAM, GRDPNT, 0 $ $ Output all Strain Energies PARAM, TINY, 0. $ $ Constraints, Bending $ $ Rear Suspension SPC1, 1, 123, SPC1, 1, 13, $ $ Front Suspension SPC1, 1, 3, SPC1, 1, 3, $

WS NAS105, Workshop 11, May 2005 Input Deck (ctd.) $ Torsion $ SPCD, 10, , 3, 1. SPCD, 10, , 3, -1. $ $ Bending $ GRAV, 20,, 9810., 0., 0., -1. $ $ Model $ INCLUDE 'car_bw.dat' $ ENDDATA $ Torsion $ SPCD, 10, , 3, 1. SPCD, 10, , 3, -1. $ $ Bending $ GRAV, 20,, 9810., 0., 0., -1. $ $ Model $ INCLUDE 'car_bw.dat' $ ENDDATA

WS NAS105, Workshop 11, May 2005 Results: Mass Properties 0 O U T P U T F R O M G R I D P O I N T W E I G H T G E N E R A T O R 0 REFERENCE POINT = 0 M O * E E E E E E-14 * * E E E E E E+02 * * E E E E E E+00 * * E E E E E E+05 * * E E E E E E-12 * * E E E E E E+06 * S * E E E+00 * * E E E+00 * * E E E+00 * DIRECTION MASS AXIS SYSTEM (S) MASS X-C.G. Y-C.G. Z-C.G. X E E E E+02 Y E E E E+02 Z E E E E+00 I(S) * E E E+04 * * E E E-11 * * E E E+05 * I(Q) * E+05 * * E+05 * * E+05 * Q * E E E-01 * * E E E+00 * * E E E-02 * 0 O U T P U T F R O M G R I D P O I N T W E I G H T G E N E R A T O R 0 REFERENCE POINT = 0 M O * E E E E E E-14 * * E E E E E E+02 * * E E E E E E+00 * * E E E E E E+05 * * E E E E E E-12 * * E E E E E E+06 * S * E E E+00 * * E E E+00 * * E E E+00 * DIRECTION MASS AXIS SYSTEM (S) MASS X-C.G. Y-C.G. Z-C.G. X E E E E+02 Y E E E E+02 Z E E E E+00 I(S) * E E E+04 * * E E E-11 * * E E E+05 * I(Q) * E+05 * * E+05 * * E+05 * Q * E E E-01 * * E E E+00 * * E E E-02 *

WS NAS105, Workshop 11, May 2005 Results: Maxima and Minima of Displacements, Torsion 0 *** T1 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 1 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T1 POINT ID. TYPE CID *** T1 *** T2 T3 R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-03 1 BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE *** T2 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 1 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T2 POINT ID. TYPE CID T1 *** T2 *** T3 R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-04 1 BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE *** T3 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 1 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T3 POINT ID. TYPE CID T1 T2 *** T3 *** R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-04 0 *** T1 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 1 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T1 POINT ID. TYPE CID *** T1 *** T2 T3 R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-03 1 BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE *** T2 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 1 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T2 POINT ID. TYPE CID T1 *** T2 *** T3 R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-04 1 BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE *** T3 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 1 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T3 POINT ID. TYPE CID T1 T2 *** T3 *** R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-04

WS NAS105, Workshop 11, May 2005 Results: Maxima and Minima of Displacements, Bending 0 *** T1 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 2 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T1 POINT ID. TYPE CID *** T1 *** T2 T3 R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-04 1 BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE *** T2 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 2 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T2 POINT ID. TYPE CID T1 *** T2 *** T3 R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-04 1 BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE *** T3 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 2 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T3 POINT ID. TYPE CID T1 T2 *** T3 *** R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-05 0 *** T1 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 2 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T1 POINT ID. TYPE CID *** T1 *** T2 T3 R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-04 1 BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE *** T2 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 2 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T2 POINT ID. TYPE CID T1 *** T2 *** T3 R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-04 1 BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE *** T3 *** D I S P L A C E M E N T M A X / M I N V A L U E S U M M A R Y RESULTS FOR SUBCASE 2 MAXMIN OPTIONS: SET=ALL, CID=BASIC, MAX=2, MIN=2, COMP=T3 POINT ID. TYPE CID T1 T2 *** T3 *** R1 R2 R G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E G BASIC E E E E E E-05

WS NAS105, Workshop 11, May 2005 Results: Reaction Forces 0 TORSION SUBCASE 1 F O R C E S O F S I N G L E - P O I N T C O N S T R A I N T POINT ID. TYPE T1 T2 T3 R1 R2 R G E G E E E G E G E E BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE 41 0 BENDING SUBCASE 2 F O R C E S O F S I N G L E - P O I N T C O N S T R A I N T POINT ID. TYPE T1 T2 T3 R1 R2 R G E G E E E G E G E E BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE 42 0 TORSION SUBCASE 1 F O R C E S O F S I N G L E - P O I N T C O N S T R A I N T POINT ID. TYPE T1 T2 T3 R1 R2 R G E G E E E G E G E E BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE 41 0 BENDING SUBCASE 2 F O R C E S O F S I N G L E - P O I N T C O N S T R A I N T POINT ID. TYPE T1 T2 T3 R1 R2 R G E G E E E G E G E E BODY IN WHITE: STIFFNESS ANALYSIS JUNE 30, 2004 MSC.NASTRAN 1/21/04 PAGE 42

WS NAS105, Workshop 11, May 2005 Trace Lines left right middle

WS NAS105, Workshop 11, May 2005 Torsion: Vertical Displacements along Trace Lines

WS NAS105, Workshop 11, May 2005 Bending: Vertical Displacements along Trace Lines

WS NAS105, Workshop 11, May 2005 Additional Tasks n Rerun the analysis with QUAD4 and TRIA3 converted to QUADR and TRIAR respectively. u Check the output of the grid point singularity processor. u Compare the results.

WS NAS105, Workshop 11, May 2005