*HEADING ECA3AFAT: ACAX3 AND CAX4 ELEMENTS Tube with nonreflective end condtion and *TIE constraint. Part of the air in the tube is modelled with continuum elements with air properties. ******************** *NODE, Nset=ODB_NSET 1,1000.0,0.0 21,1000.5,0.0 101,1000.0,0.025 121,1000.5,0.025 *NGEN,NSET=NALL 1,21 101,121 *NCOPY,OLDSET=NALL,NEWSET=NSOL,CHANGENUMBER=10000,SHIFT 0.0,0.0,0.0 1.0,0.0,0.0,0.0,1.0,0.0 *NSET,NSET=SAMPLE,GENERATE 1,41 *NSET,NSET=LOAD 1,101 ** First 10 elements are acoustic *ELEMENT,TYPE=ACAX3 1,1,2,102 2,102,101,1 *ELGEN,ELSET=ACOU 1,5,1,2 2,5,1,2 ** Then 5 continuum elements *ELEMENT,TYPE=CAX4 1006,10006,10007,10107,10106 *ELGEN,ELSET=STRUCT 1006,5,1,1 ** Next 20 elements are acoustic *ELEMENT,TYPE=ACAX3 31,11,12,112 32,112,111,11 *ELGEN,ELSET=ACOU 31,10,1,2 32,10,1,2 *ELSET,ELSET=NONREF 49, ************************************************ *SURFACE,TYPE=ELEMENT,NAME=ACR 9,S2 *SURFACE,TYPE=ELEMENT,NAME=SOL 1006,S4 *SURFACE,TYPE=ELEMENT,NAME=SOR 1010,S2 *SURFACE,TYPE=ELEMENT,NAME=ACL 32,S2 *TIE,NAME=CRAVAT SOL,ACR ACL,SOR ************************************************ ** ** 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, *AMPLITUDE,NAME=OMEGA 0.,0., 1E6,6.2831853E6 ************************************************ ** ** ANALYTIC SOLUTION ** ** ** at freq=100, ** Impedance: Z = root( K_f rho ) ** = 415.095 ** 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) ** = 415.095 ** ** Arg(p) = Arg(Z) - Im(b) x ** ppor = - 104.94 x ** ************************************************ *Elset,Elset=ODB_ESET ACOU, STRUCT *Nset, Nset=ODB_NSET ODB_NSET, 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,I2 ** ** Conditions at x=0 : Define the source inward accel ** to be a = omega i, so v (inward) = 1. ** *CLOAD,LOAD CASE=2, AMP=OMEGA LOAD, 8, 78.539816 ** simulation of uniaxial condition *BOUNDARY NSOL,2,2 *NODE PRINT, NSET=SAMPLE COORD,POR,PPOR *OUTPUT,FIELD,OP=ADD,FREQUENCY=9999 *ELEMENT OUTPUT,ELSET=STRUCT S *NODE OUTPUT,NSET=SAMPLE POR, *OUTPUT,HISTORY,OP=ADD,FREQUENCY=9999 *NODE OUTPUT,NSET=SAMPLE POR, *ELEMENT OUTPUT,ELSET=STRUCT COORD,S11 *END STEP