4.7 Article

Analysis of Lamb wave propagation in a functionally graded piezoelectric small-scale plate based on the modified couple stress theory

期刊

COMPOSITE STRUCTURES
卷 265, 期 -, 页码 -

出版社

ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2021.113733

关键词

Functionally graded piezoelectric material; Microstructures; Nanostructures; Legendre orthogonal polynomial; Wave propagation; Size effect

资金

  1. National Natural Science Foundation of China [U1804134, 51975189]
  2. Training Plan of Young Key Teachers of Universities in Henan Province [2018-GGJS-060]

向作者/读者索取更多资源

This study investigates the propagation characteristics of Lamb-type waves in a functionally graded piezoelectric small-scale plate using an extended Legendre orthogonal polynomial method. The results show that size and piezoelectric effect increase the phase velocity of Lamb waves, while piezoelectricity suppresses the influence of couple stress on dispersion characteristics.
This work focuses on the propagation characteristics of Lamb-type waves in a functionally graded piezoelectric (FGP) small-scale plate. Based on the modified couple stress theory, Legendre orthogonal polynomial method (LOPM) is extended to perform the solving process. By introducing the rectangular window function and expanding the electric potential and displacement vectors to Legendre orthogonal polynomial series, the governing equations satisfying the electric-open and electric-short circuit boundary conditions are presented respectively. The solutions based on the global matrix method (GMM) are deduced to verify the correctness of this extended LOPM. Since there is no layered processing, the extended LOPM provides a more realistic analysis model for the FGP small-scale plate and has a high computational efficiency. Furthermore, the dispersion characteristics, stress and electromechanical coupling factor are investigated in details. Results show that the size and piezoelectric effect increase the phase velocity, and the piezoelectricity suppresses the influence of couple stress on the dispersion characteristics. The Lamb wave phase velocities of the first and second modes with different Ly always converge to two fixed values at different convergence speeds. The conclusions obtained can be applied to the design and dynamic response evaluation of composite small-scale structures.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据