*HEADING EIGENVALUE ANALYSIS OF CYLINDRICAL TRANSDUCER PIEZOELECTRIC CERAMIC AND BRASS END CAPS, COARSE MODEL WITH EIGHT-NODE AXISYMMETRIC PIEZOELECTRIC ELEMENTS *NODE 1, .0110,.0 2, .01175, 0.0 3, .0125, 0.0 13, .0110, .0125 14, .01175,.0125 15, .0125,.0125 16, .0110, .014 17, .01175,.014 18, .0125,.014 19, .0110, .0155 20, .01175,.0155 21, .0125,.0155 22, 0.0,.0125 25,.00825,.0125 26, 0.0,.014 27, .0055,.014 28, 0.0,.0155 31,.00825,.0155 *NGEN 1,13,3 2,14,6 3,15,3 22,25 28,31 *ELEMENT,TYPE=CAX8RE 1, 1,3,9,7,2,6,8,4 2, 7,9,15,13,8,12,14,10 *ELEMENT,TYPE=CAX8R 3, 13,15,21,19,14,18,20,16 4, 22,24,30,28,23,27,29,26 5, 24,13,19,30,25,16,31,27 *ELSET,ELSET=PZT4 1,2 *ELSET,ELSET=BRASS 3,4,5 **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 11.54E10,7.428E10,13.90E10,7.428E10,7.784E10,13.90E10,2.564E10,2.564E10, 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 1,13,3 *NSET,NSET=SYM 1,2,3 *NSET,NSET=ASYM 22,26,28 *BOUNDARY SYM,2 ASYM,1 IN,9 *RESTART,WRITE ** ** *STEP,PERTURBATION *FREQUENCY, eigensolver=lanczos, SIM=NO 5, ,100000.,10. *EL PRINT S,E EFLX,EPG *NODE PRINT U,EPOT RF,RCHG *ELSET,ELSET=OUTPUT 1,4 *EL FILE,ELSET=OUTPUT S,E,EFLX,EPG *NSET,NSET=OUTPUT1 8,14 *NODE FILE,NSET=OUTPUT1 U,EPOT *NSET,NSET=OUTPUT2 1,26 *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