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首页> 外文期刊>Composite Structures >Nonlinear free and forced thermo-electro-aero-elastic vibration and dynamic response of piezoelectric functionally graded laminated composite shells, Part Ⅰ: Theory and analytical solutions
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Nonlinear free and forced thermo-electro-aero-elastic vibration and dynamic response of piezoelectric functionally graded laminated composite shells, Part Ⅰ: Theory and analytical solutions

机译：压电功能梯度层合复合壳体的非线性自由强迫热电空气弹性振动和动力响应，第一部分：理论和解析解

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摘要

Nonlinear vibration and dynamic response of simply supported piezoelectric functionally graded material (FGM) shells under combined electrical, thermal, mechanical and aerodynamic loading are studied in this paper. The material properties of the shell are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of volume fractions of the constituents. The third-order piston theory is employed to evaluate the aerodynamic pressure. The governing equations are derived using improved Donnell shell theory ignoring the shallowness of cylindrical shells and kinematic nonlin-earity and the physical neutral surface concept are taken into consideration. The Galerkin method, Volmir's assumption and the multiple time scales perturbation methods are used for the nonlinear dynamical analysis of shells to give the expression of natural frequencies, the nonlinear dynamic responses and the primary resonance phenomena. The influences of the shell geometry and piezoelectric thickness, temperature change, external constant electric voltage and aerodynamic loads on the nonlinear dynamic behavior of the piezoelectric functionally graded shells through a comprehensive parametric study are discussed in details.
机译：本文研究了简单的压电功能梯度材料（FGM）壳体在电，热，机械和气动组合载荷作用下的非线性振动和动力响应。假定根据简单的幂律分布，根据成分的体积分数，沿厚度方向对壳的材料性能进行分级。采用三阶活塞理论来评估空气动力压力。使用改进的Donnell壳理论推导了控制方程，而忽略了圆柱壳的浅度，并考虑了运动非线性和物理中性表面的概念。 Galerkin方法，Volmir假设和多重时标摄动方法用于壳体的非线性动力学分析，以给出固有频率，非线性动力学响应和主要共振现象的表达。通过全面的参数研究，详细讨论了壳体几何形状和压电厚度，温度变化，外部恒定电压和气动载荷对压电功能梯度壳体的非线性动力学行为的影响。

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