Nonlinear vibration behavior of doubly-curved functionally graded piezoelectric microshells in thermal environments

Abstract

In this paper, nonlinear vibrational behaviors of doubly-curved functionally graded piezoelectric (FGP) microshells in thermal environments have been studied. The doubly-curved microshell has been modeled by using modified couple stress and thin shell theories. The microshell has two material constituents which are piezoelectric materials and their gradation is described using power-law functions. Temperature fields are considered to be uniform, linear, and nonlinear. A closed-form of nonlinear vibration frequency has been obtained by analytically solving the governing equations using the Harmonic balance method. It will be demonstrated that nonlinear vibrational frequency of doubly-curved microshell relies on couple stress influence, material gradation, curvature radius, center deflection, and electrical field.

KEYWORDS:

• Doubly-curved shell
• nonlinear vibration
• functionally graded material
• piezoelectric material
• modified couple stress theory

Disclosure statement

No potential conflict of interest was reported by the author(s).