*HEADING EC34AFAI: AC3D8 ELEMENTS Tube with nonreflective end-condition and ASI elements. Part of the air in the tube is modelled with continuum elements with air properties. ******************** *NODE, Nset=ODB_NSET 1, 21,.5 101,,0.025 121,0.5,0.025 *NGEN,NSET=NBACK 1,21 101,121 *NCOPY,CHANGE NUMBER=200, OLD SET=NBACK, NEW SET=NFRONT,SHIFT 0.0,0.0,0.025 *NSET,NSET=NALL NBACK,NFRONT *NSET,NSET=SAMPLE,GENERATE 1,41 *NSET,NSET=LOAD 1,101,201,301 ** ** First 5 elements are acoustic *ELEMENT,TYPE=AC3D8 1,1,201,202,2,101,301,302,102 *ELGEN,ELSET=ACOU 1,5,1,1 ** ** Then an ASI Element with normal to left *ELEMENT,TYPE=ASI4, ELSET=ASILEFT 101,6,206,306,106 ** ** Then 5 continuum elements *ELEMENT,TYPE=C3D8 6,6,206,207,7,106,306,307,107 *ELGEN,ELSET=STRUCT 6,5,1,1 ** ** Then an ASI Element with normal to right *ELEMENT,TYPE=ASI4, ELSET=ASIRIGHT 102,11,111,311,211 ** ** Next 10 elements are acoustic *ELEMENT,TYPE=AC3D8 11,11,211,212,12,111,311,312,112 *ELGEN,ELSET=ACOU 11,10,1,1 ** *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 ** ************************************************ *Elset,Elset=ODB_ESET ACOU, STRUCT ** ** *Nset, Nset=ODB_NSET ODB_NSET, NBACK, NFRONT, NALL SAMPLE, LOAD ** ** *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,I5 ** ** 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 LOAD, 8, 1.5625E-04 ** simulation of uniaxial condition *BOUNDARY NALL,2,3 *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