*HEADING 1D TRANSIENT WAVE PROPAGATION IN AN ACOUSTIC MEDIUM WITH CLOAD IN ABAQUS/EXPLICIT [AC3D8R]; VERIFICATION PROBLEM: TRANSIENT DYNAMICS TESTS ** ** C=SQRT(K/RHO)= 343.05 M/S K=BULK MODULUS, RHO=DENSITY. ** ANALYTIC SOLUTION TO PRESCRIBED CONSTANT ACCELERATION OF A0 AT X=0 ** ** P(X,T) = (K*A0/C^2)*(CT - X) FOR X < CT ** = 0 FOR X > CT ** FOR EXAMPLE AT THE END OF THE SIMULATION : ** P_1(0,0.0044)=1.826 ** P_51(0.5,0.0044)=1.221 ** P_101(1.0,0.0044)=0.616 ** THE ACCELERATION IS SPECIFIED USING *CLOAD ON DOF 8 ** ** SEE CH. 3.7.7 OF ABAQUS/VERIFICATION MANUAL ** *PREPRINT,ECHO=NO,HISTORY=NO,MODEL=NO *NODE,NSET=NALL 1, 0, 101, 1, 1001, 0, 1e-2 1101, 1, 1e-2 1501, 0, 1e-2, -1e-2 1601, 1, 1e-2, -1e-2 2501, 0, 0, -1e-2 2601, 1, 0, -1e-2 *NGEN,NSET=NALL 1,101 1001,1101 1501,1601 2501,2601 *NSET,NSET=QA_TEST,GEN 1,10,1 45,55,1 90,101,1 *NSET,NSET=NOUT QA_TEST, *NSET,NSET=LOADED_NODES 1,1001,1501,2501 *ELEMENT,TYPE=AC3D8R 1,1,2,2502,2501,1001,1002,1502,1501 *ELGEN,ELSET=CHANNEL 1,100 *SOLID SECTION,MATERIAL=AIR,ELSET=CHANNEL ** *MATERIAL,NAME=AIR *DENSITY 1.21, *ACOUSTIC MEDIUM,BULK MODULUS 0.1424E6, ** ** Define nonreflective boundary at x=1 ** Using user calculated constants: ** 1/k1=0, 1/c1=1/(rho*c) *IMPEDANCE PROPERTY,NAME=NONREF 0, 2.41E-3 ** *RESTART,WRITE,NUMBER=1 *STEP *DYNAMIC,EXPLICIT ,.0044 ** Define nonreflective boundary at x=1 *IMPEDANCE,prop=nonref 100,I4, ** ** Prescribe unit particle acceleration a0 inwards, ** so that _volume_ acceleration is a0 * cross-section. ** Distribute 1/4 to each corner node: *CLOAD LOADED_NODES,8,.25e-4 ** ************************* *OUTPUT,FIELD,NUMBER INTERVAL=1 *NODE OUTPUT POR *NODE OUTPUT,NSET=QA_TEST POR, ************************* ***OUTPUT,HISTORY, TIME INTERVAL=0.00022 ***NODE OUTPUT, NSET=NOUT **POR ************************* *END STEP