Electromechanical coupling enriched finite element method for dynamic characteristic of piezoelectric materials structures

Abstract

To improve the application depth and breadth of intelligent unit devices made from piezoelectric structures, their kinetic properties shall be urgently studied. Herein, based on the basic equations and boundary conditions of piezoelectric materials, an interpolation coverage function of node displacement was introduced into the displacement shape function and potential shape function of coupling electromechanical finite element method (FEM), forming an electromechanical coupling enriched FEM generalized shape function. Together with the variation principle, an electromechanical coupling enriched FEM was put forward, and its motion equations were deduced. Next, the free vibration and transient response of the piezoelectric structure were analyzed, and the accuracy and validity of the new method were validated with numerical cases. Results show this method has high application prospects for analyzing the dynamic properties of piezoelectric material structures.

Keywords:

• Enriched finite element method
• coupling electromechanical
• dynamic characteristic
• piezoelectric structures
• interpolation function

Authors’ contributions

Lirong Sha: Conceptualization, Methodology, Validation; Hongfei Sun: Methodology and Validation; Yajin Wang: Validation, Software, Writing – original draft, Visualization; Liming Zhou: Conceptualization, Methodology, Validation, Writing – review & editing.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (Grant Number. 51975243); Project of Science and Technology Department of Jilin Province (Grant Number. 20210101405JC); this research was funded by Science and Technology Research Project of Education Department of Jilin Province (Grant Number. JJKH20220281KJ); Technology Development Program of Science and Technology Department of Jilin Province (Grant Number. 20220203072SF).