*HEADING : TABULAR FREQUENCY DOMAIN VISCOELASTICITY, ARRUDA-BOYCE HYPERELASTIC, CPS4 STEADY STATE DYNAMIC ANALYSIS OF CANTILEVER WITH DISTRIBUTED VERTICAL LOAD UNITS: SI *RESTART,WRITE *NODE,NSET=A 1, 6,,1. 11,,2. 16,,3. *NODE,NSET=B 5,10. 10,10.,1. 15,10.,2. 20,10.,3. *NFILL,NSET=SIDE A,B,4 *NSET,NSET=END,GENERATE 1,16,5 *ELEMENT,TYPE=CPS4 1,1,2,7,6 *ELGEN,ELSET=BEAM 1,4,,,3,5,4 *ELSET,ELSET=TOP,GENERATE 9,12 *SOLID SECTION,ELSET=BEAM,MATERIAL=VISCO *MATERIAL,NAME=VISCO *DENSITY 8000., *HYPERELASTIC,ARRUDA-BOYCE,MODULI=LONG TERM 66.6666E9, 5., 12.E-12 *VISCOELASTIC,FREQUENCY=TABULAR 1.161E-2,-3.21E-2,,,1. 7.849E-3,-2.222E-2,,,15.8 5.354E-3,-1.533E-2,,,25.1 3.639E-3,-1.062E-2,,,39.8 2.543E-3,-7.382E-3,,,63.1 1.775E-3,-5.116E-3,,,100.0 *BOUNDARY END,1,2 ** ******************************************* ** reference solution ** STEP1 *STEP,INC=500 *STEADY STATE DYNAMIC,DIRECT 40.,100.,5 *DLOAD TOP,P3,1.E9 *NODE PRINT,NSET=B U, RF, PU, PRF, *EL PRINT S, E, *ENERGY PRINT *OUTPUT,FIELD *NODE OUTPUT,NSET=B U, *OUTPUT,HISTORY *NODE OUTPUT,NSET=B U, *OUTPUT,FIELD *NODE OUTPUT,NSET=END RF, *OUTPUT,HISTORY *NODE OUTPUT, NSET=END RF, *OUTPUT,FIELD *ELEMENT OUTPUT S, E, *OUTPUT,HISTORY *ENERGY OUTPUT,VARIABLE=ALL *END STEP ***************************** **STEP 2 - extract all modes *STEP *FREQUENCY, eigensolver=lanczos, SIM=NO 32, , *NODE PRINT *EL PRINT *OUTPUT,FIELD *NODE OUTPUT *OUTPUT,FIELD *ELEMENT OUTPUT *END STEP ***************************** ** the subspace solution uses the entire eigenspace ** solution should be identical to the SSD,direct solution in the ** previous step ** STEP 3 *STEP *STEADY STATE DYNAMIC,SUBSPACE PROJECTION=ALL,INTERVAL=RANGE 40.,100.,5 *DLOAD TOP,P3,1.E9 *NODE PRINT,NSET=B U, RF, PU, PRF, *EL PRINT S, E, *ENERGY PRINT *OUTPUT,FIELD *NODE OUTPUT,NSET=B U, *OUTPUT,HISTORY *NODE OUTPUT,NSET=B U, *OUTPUT,FIELD *NODE OUTPUT,NSET=END RF, *OUTPUT,HISTORY *NODE OUTPUT, NSET=END RF, *OUTPUT,FIELD *ELEMENT OUTPUT S, E, *OUTPUT,HISTORY *ENERGY OUTPUT,VARIABLE=ALL *END STEP ***************************** **check for INTERVAL=EIGENFREQUENCY **STEP 4 *STEP,INC=500 *STEADY STATE DYNAMIC,DIRECT,INTERVAL=EIGENFREQUENCY 40.,100.,5 *DLOAD TOP,P3,1.E9 *NODE PRINT,NSET=B U, RF, PU, PRF, *EL PRINT S, E, *ENERGY PRINT *END STEP ***************************** **check for INTERVAL=EIGENFREQUENCY **STEP 5 *STEP *STEADY STATE DYNAMIC,SUBSPACE PROJECTION=EIGENFREQUENCY,INTERVAL=EIGENFREQUENCY 40.,100.,5 *DLOAD TOP,P3,1.E9 *NODE PRINT,NSET=B U, RF, PU, PRF, *EL PRINT S, E, *ENERGY PRINT *END STEP ***************************** ** extract fewer modes with stiffness propoerties evalutated at 50 Hz ** STEP 6 *STEP *FREQUENCY,PROPERTY EVALUATION=50, eigensolver=lanczos, SIM=NO 16, , *NODE PRINT *EL PRINT *OUTPUT,FIELD *NODE OUTPUT *OUTPUT,FIELD *ELEMENT OUTPUT *END STEP ***************************** ** subspace solution is not exact but only very close **STEP 7 *STEP *STEADY STATE DYNAMIC,SUBSPACE PROJECTION=EIGENFREQUENCY,INTERVAL=RANGE 40.,100.,5 *DLOAD TOP,P3,1.E9 *NODE PRINT,NSET=B U, RF, PU, PRF, *EL PRINT S, E, *ENERGY PRINT *OUTPUT,FIELD *NODE OUTPUT,NSET=B U, *OUTPUT,HISTORY *NODE OUTPUT,NSET=B U, *OUTPUT,FIELD *NODE OUTPUT,NSET=END RF, *OUTPUT,HISTORY *NODE OUTPUT, NSET=END RF, *OUTPUT,FIELD *ELEMENT OUTPUT S, E, *OUTPUT,HISTORY *ENERGY OUTPUT,VARIABLE=ALL *END STEP ***************************** **check for SUBSPACE PROJECTION=PROPERTY CHANGE **STEP 8 *STEP *STEADY STATE DYNAMIC,SUBSPACE PROJECTION=PROPERTY CHANGE,INTERVAL=RANGE, STIFFNESS CHANGE=0.2, DAMPING CHANGE=0.1 40.,100.,5 *DLOAD TOP,P3,1.E9 *NODE PRINT,NSET=B U, RF, PU, PRF, *EL PRINT S, E, *ENERGY PRINT *END STEP