Abstract

The torsional vibration of a piezoelectric solid cylinder of arbitrary cross section of class (622) crystals is investigated. The boundary conditions are satisfied using the Fourier expansion collocation method, and the frequency equation which is applicable for the general cross section is derived. Numerical calculations have been carried out for the circular cylinder and elliptic cylinders of β-quartz. The frequencies obtained in the present method for the circular cylinder are compared with those of an exact method.

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