Open Access

ARTICLE

Wave Propagation in Piezoelectric Rods with Rectangular Cross Sections

by Xiaoming Zhang¹, Xingxin Xu¹, Yuqing Wang¹

1 School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, P.R. China.
2 Corresponding Author.

Computer Modeling in Engineering & Sciences 2014, 100(1), 1-17. https://doi.org/10.3970/cmes.2014.100.001

Abstract

Orthogonal polynomial approach has been used to deal with the wave propagation in structures that have finite dimension in only one direction, such as horizontally infinite flat plates, axially infinite hollow cylinders. In order to solve wave propagation in two-dimensional piezoelectric rod with rectangular cross section, i.e. the piezoelectric plate with finite dimensions in two directions, an extended orthogonal polynomial approach is proposed in this paper. For validation and illustration purposes, the proposed approach is applied to solving the wave propagation in a square steel rod. The results obtained are in good agreement with the results from the semi-analytical finite element method. The dispersion curves and displacement and electric potential distributions of various rectangular piezoelectric rods are calculated, and the effects of the different width to height ratio, material parameters and different polarizing directions on the dispersion curves and displacement and electric potential distributions are discussed.

---

Keywords

---