Nonlinear vibration of piezoelectric nanoplates using nonlocal Mindlin plate theory

作者：Liu, Chen; Ke, Liao-Liang^*; Yang, Jie; Kiti****chai, Sritawat; Wang, Yue-Sheng

来源：Mechanics of Advanced Materials and Structures, 2018, 25(15-16): 1252-1264.

DOI：10.1080/15376494.2016.1149648

• Mindlin plate theory
• nonlinear vibration
• nonlocal theory
• piezoelectric materials
• size effect

This article investigates the nonlinear vibration of piezoelectric nanoplate with combined thermo-electric loads under various boundary conditions. The piezoelectric nanoplate model is developed by using the Mindlin plate theory and nonlocal theory. The von Karman type nonlinearity and nonlocal constitutive relationships are employed to derive governing equations through Hamilton's principle. The differential quadrature method is used to discretize the governing equations, which are then solved through a direct iterative method. A detailed parametric study is conducted to examine the effects of the nonlocal parameter, external electric voltage, and temperature rise on the nonlinear vibration characteristics of piezoelectric nanoplates.

• 出版日期2018-12-10
• 单位中国地震局工程力学研究所; 北京交通大学