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Closed-form elasticity solution for smart curved sandwich panels with soft core

机译:智能弯曲的软芯夹芯板的闭合形式弹性解决方案

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Due to the rapid development of intelligent engineering structure, the demand for high performance smart structures has been increased in recent years. In this paper, an exact elasticity solution for bending analysis of sandwich panel with generally orthotropic facings and core is developed. Two electro-orthotropic piezoelectric layers in the top and bottom surfaces of sandwich panel as sensor and actuator are considered. From practical point of view, an initially curved sectorial geometry is considered for smart sandwich panel. In this regard, the constitutive relations and governing equations are considered in polar coordinate and coupled Euler-Cauchy Equations are derived. The characteristic equations are determined and closed-form basis functions of displacements and stresses are achieved for various material and geometrical conditions.Furthermore, based on classical and first-order shell theories, the governing equations of smart curved sandwich panels are derived. The governing equations are solved analytically and compared with exact elasticity solution.Several parametric studies are performed on both material and geometrical properties such as angular span, facing and core thickness, and external electrical voltage. (C) 2019 Elsevier Inc. All rights reserved.
机译:由于智能工程结构的快速发展,近年来对高性能智能结构的需求不断增长。本文提出了一种用于通常具有正交各向异性面和芯的夹芯板弯曲分析的精确弹性解。考虑在夹芯板的顶面和底面中的两个正交各向异性压电层作为传感器和致动器。从实用的角度来看,智能夹心板考虑了初始弯曲的扇形几何形状。在这方面,在极坐标中考虑本构关系和控制方程,并导出耦合的Euler-Cauchy方程。确定了特征方程,确定了各种材料和几何条件下位移和应力的封闭形式基函数。此外,基于经典和一阶壳理论,推导了智能弧形夹心板的控制方程。该控制方程通过解析求解并与精确弹性解进行比较。对材料和几何特性(例如角跨度,面和芯厚度以及外部电压)进行了多个参数研究。 (C)2019 Elsevier Inc.保留所有权利。

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