Transient torsional responses of finite piezoelectric hollow cylinder

H. M. Wang

doi:10.1117/12.843111

20 October 2009 Transient torsional responses of finite piezoelectric hollow cylinder

H. M. Wang

Proceedings Volume 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering; 749328 (2009) https://doi.org/10.1117/12.843111
Event: Second International Conference on Smart Materials and Nanotechnology in Engineering, 2009, Weihai, China

Abstract

An exact elastodynamic solution is obtained for torsional vibration of a finite piezoelectric hollow cylinder subjected to dynamic shearing stress and time dependent electric potential at the internal surface. The cylinder is traction free at the two ends and is fixed at the external surface. The piezoelectric material belongs to 622 crystal class. In axial direction, the trigonometric series expansion technique is introduced to guarantee the solution satisfies the end conditions. Then the governing equations for new variables about the radial coordinate r and the time variable t are derived. By means of the normal mode expansion method, the solution for torsional vibration is finally obtained. Numerical investigations are presented and the dynamic behaviors of the finite piezoelectric hollow cylinder are analyzed.

Citation Download Citation

H. M. Wang "Transient torsional responses of finite piezoelectric hollow cylinder", Proc. SPIE 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering, 749328 (20 October 2009); https://doi.org/10.1117/12.843111

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