*HEADING EIGENVALUE ANALYSIS OF CYLINDRICAL TRANSDUCER PIEZOELECTRIC CERAMIC AND BRASS END CAPS, REFINED MODEL WITH EIGHT-NODE AXISYMMETRIC PIEZOELECTRIC ELEMENTS *NODE 17, .0110,.0 25, .0125, 0.0 1617, .0110,.0125 1625, .0125,.0125 2417, .0110, .0155 2425, .0125,.0155 1601, 0.0,.0125 2401, 0.0,.0155 *NGEN,NSET=SYM 17,25 *NGEN,NSET=JUNCTION 1617,1625 *NGEN,NSET=TOPB 2401,2417 *NGEN,NSET=TOPP 2417,2425 *NGEN,NSET=ASYM 1601,2401,100 *NGEN,NSET=RIGHT 1617,2417,100 *NFILL SYM,JUNCTION,16,100 JUNCTION,TOPP,8,100 ASYM,RIGHT,16,1 *ELEMENT,TYPE=CAX8RE 1, 17,19,219,217,18,119,218,117 *ELEMENT,TYPE=CAX8R 1001, 1601,1603,1803,1801,1602,1703,1802,1701 *ELGEN,ELSET=PZT4 1,4,2,1,8,200,4 *ELGEN,ELSET=BRASS 1001,12,2,1,4,200,12 **local orientation matching global system *ORIENTATION,NAME=RECT 1.0, 0.0, 0.0, 0.0, 1.0, 0.0 1, 0.0 *SOLID SECTION,MATERIAL=PZT4,ELSET=PZT4,ORIENT=RECT *SOLID SECTION,MATERIAL=BRASS,ELSET=BRASS *MATERIAL,NAME=PZT4 *ELASTIC,TYPE=ORTHOTROPIC 13.90E10,7.428E10,11.54E10,7.784E10,7.428E10,13.90E10,2.564E10,2.564E10, 2.564E10, *PIEZOELECTRIC,TYPE=S 15.08,-5.207,-5.207,0.,0.,0.,0.,0. 0.,12.710,0.,0.,0.,0.,0.,0., 12.710,0. *DIELECTRIC,TYPE=ANISO 5.872E-9,0.,6.752E-9,0.,0.,6.752E-9 *DENSITY 7500., *MATERIAL,NAME=BRASS *ELASTIC,TYPE=ISOTROPIC 10.4E10,0.37 *DENSITY 8500., *NSET,NSET=IN,GENERATE 17,1617,100 *BOUNDARY SYM,2 ASYM,1 IN,9 *RESTART,WRITE ** ** *STEP,PERTURBATION *FREQUENCY, eigensolver=lanczos, SIM=NO 5, ,100000.,10. *EL PRINT,FREQUENCY=0 *NODE PRINT U,EPOT RF,RCHG *ELSET,ELSET=OUTPUT 1,1001 *EL FILE,ELSET=OUTPUT S,E,EFLX,EPG *NSET,NSET=OUTPUT1 218,1819 *NODE FILE,NSET=OUTPUT1 U,EPOT *NSET,NSET=OUTPUT2 17,1601 *NODE FILE,NSET=OUTPUT2 RF,RCHG *OUTPUT,FIELD *ELEMENT OUTPUT,ELSET=OUTPUT S,E,EFLX,EPG *OUTPUT,FIELD *NODE OUTPUT,NSET=OUTPUT1 U,EPOT *OUTPUT,FIELD *NODE OUTPUT U, *NODE OUTPUT,NSET=OUTPUT2 RF,RCHG *END STEP