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Closed form solutions for buckling and postbuckling analysis of imperfect laminated composite plates with piezoelectric actuators

机译:具有压电致动器的不完善叠层复合板屈曲和后屈曲分析的封闭形式解决方案

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摘要

Buckling and postbuckling behavior of symmetric laminated composite plates with surface mounted and embedded piezoelectric actuators subjected to mechanical, thermal, electrical, and combined loads is studied. Formulation is based on the classical laminated plate theory with von-Karman non-linear kinematic relations. Initial geometrical imperfections are also accounted, and finally applying Galerkin procedure, the resulting equations are solved to obtain closed form expressions for non-linear equilibrium paths. Temperature dependency of thermo-mechanical properties is considered. Three cases of simply supported boundary conditions are investigated. Effects of in-plane compressive loading, temperature dependency and independency of properties, electrical loading, lay-up configuration, and geometric imperfection are discussed. Results for various states are verified with the known data in the literature.
机译:研究了带有表面安装和嵌入式压电致动器的对称层压复合板在机械,热,电和组合载荷下的屈曲和后屈曲行为。配方基于具有冯-卡尔曼非线性运动学关系的经典层压板理论。还考虑了最初的几何缺陷,最后应用了Galerkin程序,对所得方程进行求解,以获得非线性平衡路径的闭合形式表达式。考虑了热机械性能的温度依赖性。研究了简单支持边界条件的三种情况。讨论了平面压缩载荷,温度依赖性和特性的独立性,电载荷,叠层结构和几何缺陷的影响。用文献中的已知数据验证了各种状态的结果。

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