*HEADING EC3FAFAW: Nonreflective end-condition with large drag with AC3D15 Compare IMPEDANCE WITH SIMPEDANCE, and STEADY STATE DYNAMICS, DIRECT with SUBSPACE PROJECTION. ******************** *RESTART,WRITE ******************** ** ** Mesh Generation ** *NODE, Nset=ODB_NSET 1, 0, 0 41, .5, 0 51, 0, 1.e-2 91, .5, 1.e-2 101, 0, 2.e-2 141, .5, 2.e-2 201, 0, 1.e-2,1.e-2 241, .5, 1.e-2,1.e-2 501, 0, 0, 1.e-2 541, .5, 0, 1.e-2 601, 0, 2.e-2, 1.e-2 641, .5, 2.e-2, 1.e-2 1001, 0, 0, 2.e-2 1041,.5, 0, 2.e-2 1051, 0, 1.e-2, 2.e-2 1091,.5, 1.e-2, 2.e-2 1101, 0, 2.e-2, 2.e-2 1141,.5, 2.e-2, 2.e-2 *NGEN,NSET=NALL 1,41 51,91 101,141 501,541 601,641 1001,1041 1051,1091 1101,1141 *NSET,NSET=LOAD1 1,101,1001,1101 *NSET,NSET=LOAD2 51,501,601,1051 *NSET,NSET=QA_TEST,GENERATE 1,41,2 *ELEMENT,TYPE=AC3D15,ELSET=EALL 1, 1, 1001, 3, 101, 1101, 103, 501, 502, 2, 601, 602, 102, 51, 1051, 53, 2, 3, 1001, 1003, 103, 1101, 1103, 502, 1002, 503, 602, 1102, 603, 53, 1051, 1053, *ELGEN,ELSET=EALL 1,20,2,2 2,20,2,2 *ELSET,ELSET=NONREF 40, *surface,NAME=NRS NONREF,S5 *SOLID SECTION,MATERIAL=ABSORB,ELSET=EALL ** *MATERIAL,NAME=ABSORB *DENSITY 1.21, *ACOUSTIC MEDIUM,BULK MODULUS 0.1424E6, *ACOUSTIC MEDIUM,VOLUMETRIC DRAG 1400., *AMPLITUDE,NAME=OMEGA 0.,0., 1E6,6.2831853E6 ************************************************ ** ** ANALYTIC SOLUTION ** ** ** at freq=100, ** Impedance: Z = root( K_f (rho - i r/omega)) ** = 516.411 -307.208 i ** Propagation constant ** b = i (omega/K_f) Z ** = 1.35551 + 2.27859 i ** ** Solution: with nonreflective end, ** Complex pressure ** p(x) = Z v(0) exp( - b x) ** i.e. |p(x)| = |Z v(0)| exp ( - Re(b) x) ** = 600.8805 exp ( -1.35551 x) ** ** Arg(p) = Arg(Z) - Im(b) x ** ppor = -30.74799 - 130.5534 x ** ************************************************ *STEP *STEADY STATE DYNAMIC,DIRECT 100, *IMPEDANCE NONREF,I5 ** ** Conditions at x=0 : Define the source inward accel ** to be a = omega i, so v (inward) = 1. ** ** Area of face=A. Total inward VOLUME acceleration ** is A*a. This should be distributed in the ratio ** (-1/12,1/3) to the (corner,midside) nodes, ** respectively: *CLOAD,LOAD CASE=2, AMP=OMEGA LOAD1, 8, -.33333333333E-4 LOAD2, 8, 1.33333333333E-4 *ENERGYPRINT *NODE PRINT, NSET=QA_TEST COORD,POR,PPOR *OUTPUT,FIELD *NODE OUTPUT POR, *ELEMENTOUTPUT ENER,ELEN,ELEDEN *OUTPUT,HISTORY *NODE OUTPUT,NSET=QA_TEST POR, *ENERGYOUTPUT ALLQB,ALLWK,ALLVD,ALLSE,ALLKE *END STEP ** ** *STEP *STEADY STATE DYNAMIC,DIRECT 100, *SIMPEDANCE NRS, *CLOAD,LOAD CASE=2, AMP=OMEGA LOAD1, 8, -.33333333333E-4 LOAD2, 8, 1.33333333333E-4 *ENERGYPRINT *NODE PRINT, NSET=QA_TEST COORD,POR,PPOR *OUTPUT,FIELD *NODE OUTPUT,NSET=QA_TEST POR, *ELEMENTOUTPUT ENER,ELEN,ELEDEN *OUTPUT,HISTORY *NODE OUTPUT,NSET=QA_TEST POR, *ENERGYOUTPUT ALLQB,ALLWK,ALLVD,ALLSE,ALLKE *END STEP ** ** *STEP *FREQUENCY,EIGENSOLVER=AMS 4,,2000.,10.0,4.0,3.0 *OUTPUT,FIELD,FREQUENCY=0 *NODE PRINT,F=0 *EL PRINT,F=0 *OUTPUT,HISTORY,Frequency=0 *END STEP ** ** *STEP *STEADY STATE DYNAMIC 100,1000,20 ***IMPEDANCE ** NONREF,I5 *CLOAD,LOAD CASE=2, AMP=OMEGA LOAD1, 8, -.33333333333E-4 LOAD2, 8, 1.33333333333E-4 *ENERGYPRINT *OUTPUT,FIELD *NODE OUTPUT POR, *ELEMENTOUTPUT ENER,ELEN,ELEDEN *OUTPUT,HISTORY *ENERGYOUTPUT ALLQB,ALLWK,ALLVD,ALLSE,ALLKE *END STEP ** *STEP *STEADY STATE DYNAMIC 100, ***SIMPEDANCE **NRS, *CLOAD,LOAD CASE=2, AMP=OMEGA LOAD1, 8, -.33333333333E-4 LOAD2, 8, 1.33333333333E-4 *ENERGYPRINT *OUTPUT,FIELD *NODE OUTPUT POR, *ELEMENTOUTPUT ENER,ELEN,ELEDEN *OUTPUT,HISTORY *NODE OUTPUT,NSET=QA_TEST POR, *ENERGYOUTPUT ALLQB,ALLWK,ALLVD,ALLSE,ALLKE *END STEP