Abstract
In this paper, a functionally graded piezoelectric plate on an elastic foundation composed of two different piezoelectric materials bonded together in the form of plate is studied, and its static bending and fundamental frequencies are analyzed. First, based on Kirchhoff plate theory and the Hamilton principle, the governing equations and corresponding boundary conditions of the model are derived, and then the equations are discretized and solved by the differential quadrature method (DQM). Finally, the effects of physical parameters such as length-to-height ratio, length-to-width ratio, material graded index, foundation stiffness coefficient, temperature change value and external voltage value on static bending deflection, and fundamental frequency value of the functionally graded piezoelectric plate with four sides simply supported are discussed. The calculated results are in good agreement with those in the literature. The data results show that the increase in the elastic foundation stiffness coefficient will increase the equivalent stiffness of the plate. In the process of work, due to the equivalent pressure value generated by the influence of the external voltage, it will lead to unstable phenomena.
Highlights
Graded materials (FGMs) can reduce or even eliminate the interface between components by continuously controlling the content distribution of each component to meet the different requirements of different parts of structural components for material performance
Graded piezoelectric materials (FGPMs) have been developed in recent years to meet the requirements of special conditions and extend the service life
The results of a transversely isotropic Functionally graded piezoelectric materials (FGPMs) plate under mechanical-electrical-thermal coupling on an elastic foundation are studied, and some references are provided for the design of FGPMs
Summary
Graded materials (FGMs) can reduce or even eliminate the interface between components by continuously controlling the content distribution of each component to meet the different requirements of different parts of structural components for material performance. The interference of the plate structures is taken from external conditions in the process of work, and many mechanical behaviors such as bending and vibration, so many scholars have made a lot of research on the mechanical behaviors of the plates and have achieved rich research results [10,11,12,13,14,15,16]. Mao [17] investigated the modal performance of a sandwich composite plate and provided a new design idea for dynamic behaviors of sandwich plates. Mlab [21] et al proposed a new generalized 5-variable shear deformation theory and calculated the static response of FGMs plates. Studied the bending analysis of a FGPMs plate by using a simple quasi-3D sinusoidal shear deformation theory under supported edge conditions. The results of a transversely isotropic FGPMs plate under mechanical-electrical-thermal coupling on an elastic foundation are studied, and some references are provided for the design of FGPMs
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
