FLEXURAL VIBRATIONAL IN A FINITE PIEZOELECTRIC CIRCULAR-CYLINDER BY CRYSTAL CLASS 6 MM

Flexural vibration in a finite piezoelectric circular solid cylinder o f crystal class 6 mm is studied for traction-free and electric potenti al-free boundaries. The solution is obtained in the form of a series, in which the boundary conditions for the shear stresses on curved and plane end surfaces and electric potential on the plane ends are satisf ied term-by-term. Remaining other boundary conditions are satisfied by an orthogonalization procedure. The series converges rapidly within a few terms. Numerical computation is carried out for the piezoelectric ceramic PZT4. For various ratios of half-height to radius of the cyli nder, the natural frequencies arc calculated for the first and second circular modes. The stress distribution over the cylinder for the firs t circular mode are presented graphically.