Stability analysis of a functionally graded CNT reinforced composite plate integrated with piezoelectric layers subjected to supersonic airflow

Document Type : Research Article

Authors

Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran

Abstract

The dynamic and static instabilities of plate reinforced by carbon nanotubes (CNTs) which fully covered by two piezoelectric layers subjected to supersonic airflow are investigated. For aero-elastic analysis of thin functionally graded CNTs reinforced composite plate, classical plate theory, as well as first-order piston theory, has been applied. The effective material properties of functionally graded carbon nanotube-reinforced composite plate are evaluated based on the rule of mixture with consideration of efficiency parameter. Also, five various types of CNTs distributions through the thickness direction are investigated. The distribution of electric potential across the piezoelectric thickness is assumed to be a quadratic function. Then, two kinds of electric boundary conditions such as open circuit and closed circuit are considered. The coupled governing electro-mechanical equations are derived by using Hamilton’s variation principle and electrostatic Maxwell’s equation. The partial differential governing equations are transformed into a set of ordinary differential equations with utilizing Galerkin’s approach. The result shows that the functionally graded CNTs reinforced composite plate integrated by two piezoelectric layers in open circuit condition has higher both flutter aerodynamic pressure and natural frequencies, in contract with a similar plate in closed circuit condition. In addition, the result elucidated that the stability region increase as the piezoelectric thickness increases.

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