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Cauchy stresses and vibration frequencies for the instability parameters of dielectric elastomer actuators

机译：介电弹性体致动器不稳定参数的Cauchy应力和振动频率

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摘要

An analysis of the effect of Cauchy stresses, vibration frequency response, and instability on the transient dynamic response of step-voltage-driven dielectric elastomer actuators (DEAs) is presented in this paper. Material nonlinearities associated with the hyperelastic constitutive law are taken into account, and the membrane is assumed to be made of an isotropic, homogeneous, and incompressible material. The results for the neo-Hookean material model are further extended to analyze relatively complex multiparameter hyperelastic models (Mooney-Rivlin and Ogden) that are often employed for investigating the behavior of DEAs. The dynamic instability parameters are predicted using energy-based extraction of static instability and validated by the response of the material in the vicinity of the dynamic instability. The natural modes of the membrane are used to approximate the nonlinear deformation field using the Galerkin method. A detailed parametric analysis of the equations of motion for the prestretched membrane shows the natural frequencies and mode shapes of the membrane and the strong influence of the stretching ratios and material parameters on the linear and nonlinear oscillations of the membrane. The results of the present investigation show the electric field-frequency relations, resonance curves, and bifurcation diagrams using the nonlinear dynamics of DEAs subjected to electrical loads. (c) 2018 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2018, 135, 46215.
机译：本文介绍了Cauchy应力，振动频率响应，振动频率响应和不稳定性对阶梯 - 电压驱动介电弹性体致动器（褥子）的瞬态动力响应的影响分析。考虑与超塑性本构关系相关的材料非线性，并假设膜由各向同性，均匀和不可压缩的材料制成。 Neo-Hookean材料模型的结果进一步扩展以分析通常用于研究褥疮的行为的相对复杂的多面游戏高度弹性模型（Mooney-Rivlin和Ogden）。使用基于能量的静态不稳定性来预测动态不稳定性参数，并通过动态不稳定性附近的材料响应来验证。膜的天然模式用于使用Galerkin方法近似非线性变形场。对薄膜的运动方程的详细参数分析显示了膜的自然频率和模式形状以及拉伸比和材料参数对膜的线性和非线性振荡的强烈影响。本研究结果示出了使用经受电负载的非线性动态的电场频率关系，谐振曲线和分岔图。 （c）2018 Wiley期刊，Inc.J.Phill。聚合物。 SCI。 2018,135,46215。

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