ON FREE VIBRATION OF A PIEZOELECTRIC COMPOSITE RECTANGULAR PLATE

✍ Scribed by W.-Q. Chen; R.-Q. Xu; H.-J. Ding

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 186 KB
• Volume: 218
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1998.1850

✦ Synopsis

1. 

Vibrations of piezoelectric plates have been studied for a long time. In fact, in as early as 1952, Mindlin [1] derived the two-dimensional approximate theory of thickness and bending vibrations for piezoelectric plates. Dokmeci [2] made a review on the main works of vibrations of piezoelectric crystals before 1980. Since then, the research has been further broadened and deepened [3][4][5].

The state space method is very powerful in the study of elastic layered structures [6]. Sosa and Castro [7] generalized the method to study the plane problem of piezoelectric layered structures. Lee and Jiang [8] and Chen et al. [9] independently derived the three-dimensional static state space formulae for transversely isotropic piezoelectricity and analyzed the bending problem of piezoelectric plates.

This letter presents the non-dimensional state equations for the vibration problem of transversely isotropic piezoelectric body. The direct expression of the corresponding transfer matrix is given, so that the inversion of matrix is avoided to improve the calculation efficiency. The simplified theory corresponding to the three-generalized-variable elastic plate theory is also given. Numerical comparison between these two theories is made by considering the free vibration of a simply supported PZT-4 ceramic plate.