*HEADING EC348AFAT: AC3D4 AND C3D8 ELEMENTS Tube with nonreflective end-condition and *TIE constraint. Part of the air in the tube is modelled with continuum elements with air properties. ************************************************ *preprint,model=yes,history=yes *NODE, Nset=ODB_NSET 1, 41,.5 101,,0.0125 141,0.5,0.0125 201,,0.025 241,0.5,0.025 *NGEN,NSET=NBACK 1,41 101,141 201,241 *NCOPY,CHANGE NUMBER=600, OLD SET=NBACK, NEW SET=NFRONT,SHIFT 0.0,0.0,0.025 *NSET,NSET=NALL NBACK,NFRONT *NSET,NSET=SAMPLE,GEN 1,41 *NSET,NSET=LOAD1 1,201,801,601 ************************************************ *NCOPY,OLDSET=NALL,NEWSET=NSOL,CHANGENUMBER=1000,SHIFT 0.0,0.0,0.0 1.0,0.0,0.0,0.0,1.0,0.0 ************************************************ ** First 30 elements are acoustic *ELEMENT,TYPE=AC3D4 1, 1, 601, 603, 201 2, 601, 603, 201, 801 3, 603, 201, 801, 803 4, 603, 3, 1, 803 5, 3, 1, 803, 203 6, 1, 803, 203, 201 *ELGEN,ELSET=ACOU 1,5,2,6 2,5,2,6 3,5,2,6 4,5,2,6 5,5,2,6 6,5,2,6 ** Then 5 continuum elements *ELEMENT,TYPE=C3D8 1006,1011,1611,1613,1013, 1211,1811,1813,1213, *ELGEN,ELSET=STRUCT 1006,5,2,1 ** Next elements are acoustic *ELEMENT,TYPE=AC3D4 101, 21, 621, 623, 221 102, 621, 623, 221, 821 103, 623, 221, 821, 823 104, 623, 23, 21, 823 105, 23, 21, 823, 223 106, 21, 823, 223, 221 *ELGEN,ELSET=ACOU 101,10,2,6 102,10,2,6 103,10,2,6 104,10,2,6 105,10,2,6 106,10,2,6 *ELSET,ELSET=NONREF 120, ************************************************ *SURFACE,TYPE=ELEMENT,NAME=ACR 28,S2 29,S4 *SURFACE,TYPE=ELEMENT,NAME=SOL 1006,S3 *SURFACE,TYPE=ELEMENT,NAME=SOR 1010,S5 *SURFACE,TYPE=ELEMENT,NAME=ACL 101,S2 102,S4 *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, NBACK, NFRONT NALL, SAMPLE, LOAD1 ************************************************ *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 158,I2 159,I4 ** ** Conditions at x=0 : Define the source inward accel ** to be a = omega i, so v (inward) = 1. ** *AMPLITUDE card enforces (2*pi)*f factor. ** *CLOAD needs only to carry total area, distributed ** to nodes. ** *CLOAD,LOAD CASE=2, AMP=OMEGA LOAD1, 8, 1.5625E-04 ** simulation of uniaxial condition *BOUNDARY NSOL,2,3 *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