*HEADING EC3A8AFAT: AC3D10 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. ************************************************ *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=300, OLD SET=NBACK, NEW SET=NMID,SHIFT 0.0,0.0,0.0125 *NCOPY,CHANGE NUMBER=600, OLD SET=NBACK, NEW SET=NFRONT,SHIFT 0.0,0.0,0.025 *NSET,NSET=NALL NBACK,NFRONT,NMID *NSET,NSET=SAMPLE,GEN 1,41 *NSET,NSET=LOAD1 1,201,801,601 *NSET,NSET=LOAD2 101,501,701,301 ************************************************ *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 quadratic tets *ELEMENT,TYPE=AC3D10 101, 1, 201, 601, 3, 101, 401, 301, 2, 102, 302, 102, 201, 601, 3, 203, 401, 302, 102, 202, 402, 103, 103, 601, 3, 203, 603, 302, 103, 402, 602, 303, 403, 104, 601, 201, 801, 603, 401, 501, 701, 602, 402, 702, 105, 201, 801, 603, 203, 501, 702, 402, 202, 502, 403, 106, 801, 603, 203, 803, 702, 403, 502, 802, 703, 503, *ELGEN,ELSET=ACOU 101,5,2,6 102,5,2,6 103,5,2,6 104,5,2,6 105,5,2,6 106,5,2,6 ** ** 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 quadratic tets *ELEMENT,TYPE=AC3D10 11, 21, 221, 621, 23, 121, 421, 321, 22, 122, 322, 12, 221, 621, 23, 223, 421, 322, 122, 222, 422, 123, 13, 621, 23, 223, 623, 322, 123, 422, 622, 323, 423, 14, 621, 221, 821, 623, 421, 521, 721, 622, 422, 722, 15, 221, 821, 623, 223, 521, 722, 422, 222, 522, 423, 16, 821, 623, 223, 823, 722, 423, 522, 822, 723, 523, *ELGEN,ELSET=ACOU 11,10,2,6 12,10,2,6 13,10,2,6 14,10,2,6 15,10,2,6 16,10,2,6 ************************************************ *SURFACE,TYPE=ELEMENT,NAME=ACR 127,S3 130,S3 *SURFACE,TYPE=ELEMENT,NAME=SOL 1006,S3 *SURFACE,TYPE=ELEMENT,NAME=SOR 1010,S5 *SURFACE,TYPE=ELEMENT,NAME=ACL 11,S1 14,S1 *TIE,NAME=CRAVAT ACR,SOL 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 *Nset, Nset=ODB_NSET ODB_NSET, NBACK, NMID, NFRONT 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 67,I3 70,I3 ** ** 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. ** for end-on CLOAD's of wedges, the uniform distributed ** acceleration ends up with point loads of (0, 1/6, 1/3) ** on the (corner, edgemidside, facecenter), respectively, ** times the acceleration magnitude and area. ** *CLOAD,LOAD CASE=2, AMP=OMEGA LOAD2, 8, 1.0416667E-04 401, 8, 2.0833333E-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