*HEADING Tube with nonreflective end-condition and ASI elements. Part of the air in the tube is modelled with continuum elements with air properties. ** ******************** *RESTART,WRITE ******************** ** ************************************************ ** ** Mesh Generation ** *NODE, Nset=ODB_NSET 1,1000.0, 41,1000.5, 101,1000.0,0.0125 141,1000.5,0.0125 201,1000.0,0.025 241,1000.5,0.025 *NGEN,NSET=NALL 1,41 101,141 201,241 *NSET,NSET=SAMPLE,GENERATE 1,41 *NSET,NSET=LOAD1 1,201 *NSET,NSET=LOAD2 101, ** ** First 5 elements are acoustic *ELEMENT,TYPE=ACAX8 1,1,3,203,201,2,103,202,101 *ELGEN,ELSET=ACOU 1,5,2,1 ** ** Then an ASI Element with normal to left *ELEMENT,TYPE=ASI3A, ELSET=ASILEFT 101,11,111,211 ** ** Then 5 continuum elements *ELEMENT,TYPE=CAX8 6,11,13,213,211,12,113,212,111 *ELGEN,ELSET=STRUCT 6,5,2,1 ** ** Then an ASI Element with normal to right *ELEMENT,TYPE=ASI3A, ELSET=ASIRIGHT 102,221,121,21 ** ** Next 10 elements are acoustic *ELEMENT,TYPE=ACAX8 11,21,23,223,221,22,123,222,121 *ELGEN,ELSET=ACOU 11,10,2,1 ** *ELSET,ELSET=NONREF 20, ** ** ** ************************************************ ** ** Acoustic Element Properties ** *SOLID SECTION,MATERIAL=AIR,ELSET=ACOU *MATERIAL,NAME=AIR *DENSITY 1.21, *ACOUSTIC MEDIUM,BULK MODULUS 0.1424E6, ************************************************ ** ** Continuum Element Properties ** *SOLID SECTION,MATERIAL=AIRSOLID,ELSET=STRUCT *MATERIAL,NAME=AIRSOLID *DENSITY 1.21, *ELASTIC 0.1424E6, ************************************************ ** ** ASI Element Properties ** *INTERFACE,ELSET=ASILEFT *INTERFACE,ELSET=ASIRIGHT ** ************************************************ ** ** ** ** *AMPLITUDE,NAME=OMEGA 0.,0., 1E6,6.2831853E6 ************************************************ ** ** ANALYTIC SOLUTION ** ** ** at freq=100, ** Impedance: Z = root( K_f rho ) ** = 415.09 ** Propagation constant ** b = i (omega/K_f) Z ** = 1.8315 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) ** = 415.09 ** ** Arg(p) = Arg(Z) - Im(b) x ** ppor = - 104.94 x ** ************************************************ ** ** Sets added by addodb ** *Elset,Elset=ODB_ESET ACOU, STRUCT ** ** *Nset, Nset=ODB_NSET ODB_NSET, NALL, SAMPLE, LOAD1 LOAD2, ** ** *STEP *STEADY STATE DYNAMIC,DIRECT 100, ** For reference, these IMPEDANCE PROPERTY ** constants could be used to specify the nonreflecting ** condition at the given frequency: ** 1/k1= 0, 1/c1= 2.40908E-03 ** 0, 1/Z ** *IMPEDANCE NONREF,I2 ** ** Conditions at x=0 : Define the source inward accel ** to be a = omega i, so v (inward) = 1. ** The loaded node has a tributary area of 1. ** *CLOAD,LOAD CASE=2, AMP=OMEGA LOAD1, 8, 26.179939 LOAD2, 8, 104.71976 ** simulation of uniaxial condition *BOUNDARY NALL,2,2 *NODE PRINT, NSET=SAMPLE COORD,POR,PPOR *OUTPUT,FIELD *NODE OUTPUT,NSET=nall POR, *ELEMENT OUTPUT,ELSET=ACOU INTEN,acv,gradp *ELEMENTOUTPUT,ELSET=STRUCT INTEN,S *OUTPUT,HISTORY *NODE OUTPUT,NSET=nall POR,U *END STEP