*HEADING ECA8AFAS: 1D transient wave propagation in an acoustic medium with prescribed acceleration on DOF 1. ACAX8,ASI3A Verification problem: Transient Dynamics Tests ** ** C = root (K/rho)= 343.05 m/s K=bulk mod, 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 ** *PREPRINT,ECHO=NO,HISTORY=NO,MODEL=no *NODE, Nset=ODB_NSET 1, 0, 101, 0, 1., 501, .5e-2,0. 601, .5e-2,1. 1001, 1.e-2,0. 1101, 1.e-2,1. *NGEN,NSET=CHANNEL 1,101 501,601 1001,1101 *NSET,NSET=SAMPLE,GENERATE 1,101 *NSET,NSET=LOAD 1,1001,501 *ELEMENT,TYPE=ACax8 1,1003,3,1,1001,503,2,501,1002 *ELGEN,ELSET=CHANNEL 1,50,2,2 *SOLID SECTION,MATERIAL=AIR,ELSET=CHANNEL 1.e-2, *surface,NAME=NRS 99,S1 ** Cross-section is 1e-4 * pi ** ASI element at z=0, so that acceleration may be prescribed ** directly: *ELEMENT,TYPE=ASI3A,ELSET=LOAD 200,1,501,1001 *INTERFACE,ELSET=LOAD 1.e-2, ** *MATERIAL,NAME=AIR *DENSITY 1.21, *ACOUSTIC MEDIUM,BULK MODULUS 0.1424E6, *RESTART,WRITE *Elset,Elset=ODB_ESET CHANNEL, *Nset, Nset=ODB_NSET ODB_NSET, CHANNEL, SAMPLE, LOAD ** ** *STEP,INC=1000 *DYNAMIC,DIRECT .0001,.0036 ** Define nonreflective boundary at x=1 *IMPEDANCE 99,I1 ** ** Prescribe volume acceleration inwards a0=1. ** Acceleration of each node on interface ** element specified. *BOUNDARY,TYPE=ACCELERATION LOAD,1,2,1. ** *EL PRINT,FREQ=0 *NODE PRINT,NSET=SAMPLE,FREQ=6 POR, *NODE FILE,NSET=SAMPLE,FREQ=6 POR, *OUTPUT,FIELD,VARIABLE=PRESELECT,OP=ADD,FREQUENCY=9999 *OUTPUT,FIELD, OP=ADD,Frequency=6 *NODE OUTPUT,NSET=SAMPLE POR, *OUTPUT,HISTORY,OP=ADD,Frequency=6 *NODE OUTPUT,NSET=SAMPLE POR, *ENDSTEP ** *STEP,INC=1000 *DYNAMIC,DIRECT .0001,.0008 ** Define nonreflective boundary at x=1 *IMPEDANCE,OP=NEW *SIMPEDANCE NRS, *BOUNDARY,TYPE=ACCELERATION LOAD,1,2,1. ** *EL PRINT,FREQ=0 *NODE PRINT,NSET=SAMPLE,FREQ=6 POR, *NODE FILE,NSET=SAMPLE,FREQ=6 POR, *OUTPUT,FIELD,VARIABLE=PRESELECT,OP=ADD,FREQUENCY=9999 *OUTPUT,FIELD, OP=ADD,Frequency=6 *NODE OUTPUT,NSET=SAMPLE POR, *OUTPUT,HISTORY,OP=ADD,Frequency=6 *NODE OUTPUT,NSET=SAMPLE POR, *ENDSTEP