AXISYMMETRICAL FREE-VIBRATIONS OF PIEZOELECTRIC FINITE CYLINDRICAL BONE

Axisymmetric vibrations in a finite piezoelectric circular solid cylin der of class 6 or 6 mm is considered. A series solution is derived and the natural frequencies are found for the vibration of the solid cyli nder with traction-free and electric potential-free surfaces. The seri es solution converges rapidly with few terms. The numerical results ar e carried out for the piezoelectric bone (class 6) and PZT4 (class 6 m m). The modes of vibrations are calculated for various half-height to radius ratios and plotted graphically. The stresses and electric poten tial distribution over the entire cylinder are also presented graphica lly.