Flexural vibration in a finite piezoelectric hollow cylinder of class 6mm

In this study, the flexural vibration in a finite piezoelectric circular hollow cylinder belonging to crystal class 6mm is considered. Both the inner and outer curved surfaces and the end plane surfaces are free from traction and electric potential. Solutions for the mechanical displacements and the electric potential are derived in a series form. Boundary conditions on shear stress are satisfied exactly term by term in the series and the remaining boundary conditions are satisfied by an orthogonalization procedure. Numerical analysis is carried out for the piezoelectric ceramic PZT4. The natural frequencies are calculated for the circular modes one and two and presented graphically. (C) 1996 Acoustical Society of America.