Accurate modeling of PZT-induced Lamb wave propagation in structures by using a novel spectral finite element method

Abstract

This paper presents an investigation on the numerical simulation of Lamb wave propagation problems in plate-like structures. Based on the simple plate theory with six variables and extended Chebyshev nodes, a novel formulation of two-dimensional spectral finite elements (2D SFEs) with and without a lead zirconate titanate (PZT) layer is proposed. A simple technique is used in the formulations to avoid inherent thickness locking, which exists in the simple plate theory. Contrary to the existing methods, only one voltage degree of freedom is introduced for each PZT element. Formulations have been worked out in detail, and analysis of the base plates with and without PZTs has been carried out. The accuracy of the proposed 2D SFE is verified by comparing the simulations to data obtained by the finite element method-base commercial software ANSYS with very fine meshes and with existing experimental data. Numerical results indicate that the proposed method is efficient in simulating Lamb wave propagation in plate-like structures.