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On aeroelastic stability of a piezo-MRE sandwich plate in supersonic airflow

机译：超音速气流中压电MRE夹层板的气动弹性稳定性

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摘要

In this paper, aeroelastic characteristics of a sandwich plate subjected to a supersonic flow are studied. The material of face layers has piezoelectric effect and the core is a magnetorheological elastomer (MRE). The aerodynamic pressure duo to supersonic flow is considered based on linear piston theory. The kinematic assumption of classical plate theory for face layers is considered and strain components of MRE core are written based on geometric relations of displacement field of face layers. The equations of motion are obtained in according to Hamilton's principle. The generalized differential quadrature method (GDQM) is used as a solution technique of governing equations. In order to verify the validity of obtained results, a comparison of the first five natural frequencies is performed with those presented in the literature. The effects of magnetic field, type of piezoelectric material of face layers, boundary conditions, and geometric parameters on the supersonic aeroelastic stability of sandwich plate are investigated. The findings of this study indicate that the magnetic field has a beneficial effect on the maximization of stability boundary of sandwich plate. Also, by increasing the thickness of MRE core the critical aerodynamic pressure of the sandwich plate decreases.
机译：本文研究了超声速作用下夹层板的气动弹性特性。面层的材料具有压电效应，芯层是磁流变弹性体（MRE）。基于线性活塞理论，考虑了对超声速流动的气动压力。考虑表层经典板理论的运动学假设，并根据表层位移场的几何关系写出MRE岩心的应变分量。根据汉密尔顿原理获得运动方程。广义微分正交方法（GDQM）被用作控制方程的求解技术。为了验证所获得结果的有效性，将前五个固有频率与文献中给出的频率进行了比较。研究了磁场，面层压电材料的类型，边界条件和几何参数对夹层板超音速气动弹性稳定性的影响。这项研究的结果表明，磁场对夹心板稳定边界的最大化具有有益的作用。而且，通过增加MRE芯的厚度，夹层板的临界空气动力压力会降低。

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