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首页> 外文期刊>International journal of non-linear mechanics >Nonlinear analysis of ionic polymer-metal composite beams using the von Karman strains
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Nonlinear analysis of ionic polymer-metal composite beams using the von Karman strains

机译：使用冯·卡曼应变对离子聚合物-金属复合材料梁进行非线性分析

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摘要

In this study, nonlinear analysis of ionic polymer-metal composite (IPMC) strips using the Euler-Bernoulli beam theory with the von Karman nonlinear strain is presented. The governing equations are derived using a variational formulation based on a thermodynamic framework. The nonlinear extensions to the linear theory are made in such a way that the resulting form of the coupling between deformation and solvent concentration remains simple. A hybrid finite element-finite volume numerical solution and a operator-split time stepping scheme are formulated for obtaining numerical solutions of the transient electromechanical response. The model is phenomenological, but it is capable of simulating the transient response of IPMC strips under general loading conditions, and it would be useful in the design of mechanisms with IPMC strips as components. The results of the nonlinear analysis are compared with the corresponding linear results for a cantilever beam like IPMC strip. Significant differences in simulation results of tip deflection, solvent concentration, and beam configurations are observed between the linear and the nonlinear beam theory. The differences are due to coupling between the bending and the axial stiffness as properly formulated in the proposed nonlinear theory. (C) 2017 Elsevier Ltd. All rights reserved.
机译：在这项研究中，提出了使用Euler-Bernoulli束理论和von Karman非线性应变对离子聚合物-金属复合材料（IPMC）条进行非线性分析的方法。使用基于热力学框架的变分公式推导控制方程。线性理论的非线性扩展是通过这种方式进行的，以使变形和溶剂浓度之间耦合的结果形式保持简单。为获得瞬态机电响应的数值解，提出了混合有限元-有限体积数值解和算子分解时间步进方案。该模型是现象​​学的，但是它能够模拟IPMC条带在一般载荷条件下的瞬态响应，并且在设计以IPMC条带为组件的机制中将很有用。将非线性分析的结果与悬臂梁（如IPMC条）的相应线性结果进行比较。在线性和非线性束理论之间，观察到尖端变形，溶剂浓度和束配置的模拟结果存在显着差异。差异是由于弯曲和轴向刚度之间的耦合所引起的，如所提出的非线性理论中恰当地表述的那样。 （C）2017 Elsevier Ltd.保留所有权利。

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