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Post buckling analysis of smart laminated doubly curved shells

机译：智能层压双曲壳的后屈曲分析

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In the present investigation, the geometrically nonlinear post buckling analysis of piezoelectric laminated doubly curved shells is presented using finite element method. The piezoelectric material is used in the form of layers or patches embedded and/or surface bonded on laminated composite shells. The finite element model includes the general geometric nonlinearity due to large deflection. The shell geometry used in the formulation is derived using the orthogonal curvilinear coordinate system. Based on the principle of virtual work the nonlinear finite element equations are derived. A total Lagrangian approach associated to arc-length method is used to solve the equilibrium equations. Smart shells having integrated piezoelectric actuators undergo large displacements resulting snap through phenomenon from one equilibrium state to another. The present results are found to compare well with those available in the open literature and the post buckling responses of [±45°/-+45°]_s laminated spherical, cylindrical and conoidal shell panels with piezoelectric layer are analyzed and the nonlinear load-deflection curves are presented.
机译：在本研究中，使用有限元方法对压电叠层双曲壳进行了几何非线性后屈曲分析。压电材料以嵌入和/或表面结合在层压复合壳上的层或贴片的形式使用。有限元模型包括由于大挠度而引起的一般几何非线性。配方中使用的壳几何形状是使用正交曲线坐标系导出的。基于虚功原理，推导了非线性有限元方程。与弧长方法相关的总拉格朗日方法用于求解平衡方程。具有集成压电致动器的智能壳体会经历大位移，从而导致从一种平衡状态到另一种平衡状态的快速击穿现象。发现本结果与公开文献中的结果相比较很好，并且分析了[±45°/-+ 45°] _s带有压电层的层合球形，圆柱形和圆锥形壳板的屈曲后响应，并且非线性载荷-给出挠曲曲线。

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