AXISYMMETRICAL FREE-VIBRATIONS OF PIEZOELECTRIC FINITE CYLINDRICAL BONE

Axisymmetric vibrations in a finite piezoelectric circular solid cylinder 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 cylinder with traction-free and electric potential-free surfaces. The series solution converges rapidly with few terms. The numerical results are carried out for the piezoelectric bone (class 6) and PZT4 (class 6 mm). The modes of vibrations are calculated for various half-height to radius ratios and plotted graphically. The stresses and electric potential distribution over the entire cylinder are also presented graphically.