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Geometrically Nonlinear Dynamic Analysis of Piezoelectric Integrated Thin-Walled Smart Structures

机译：压电集成薄壁智能结构的几何非线性动态分析

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In this work, a fully geometrically nonlinear dynamic finite element (FE) model, which considers the kinematics of small strains but large rotations, is developed for transient analysis of piezolaminated thin-walled structures based on first-order shear deformation (FOSD) hypothesis. Linear electro-mechanically coupled constitutive equations and the assumption of linearly distributed electric potential through the thickness of the piezoelectric layers are employed. An eight-node quadrilateral plate/shell element with five mechanical degrees of freedom (DOFs) per node and one electrical DOF per smart layer is adopted in the finite element formulation. The second order differential dynamic equation is solved by the central difference algorithm. The mathematical method is validated by transient analysis of three different examples of a beam, a plate, and a cylindrical shell. The results illustrate that the geometrical nonlinearity affects the structural dynamic responses significantly.
机译：在这项工作中，一种完全几何非线性动态有限元（Fe）模型，其考虑小菌株的运动，但旋转大规模，用于基于一阶剪切变形（FOSD）假设的压叠薄壁结构的瞬态分析。采用线性电动机电耦合的本构公式，并采用通过压电层厚度的线性分布电位的假设。在有限元配方中采用每节点有五个机械自由度（DOF）的八节点四边形板/壳元件，以及每个智能层的一个电气DOF。通过中心差算法解决了二阶差分动态方程。通过梁，板和圆柱壳的三个不同示例的瞬态分析来验证数学方法。结果说明了几何非线性显着影响结构动态响应。

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