Dynamic pull-in instability of a prestretched viscous dielectric elastomer under electric loading
Dynamic pull-in instability of a prestretched viscous dielectric elastomer under electric loading
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DOI：
10.1007/s00707-017-1930-4
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发表时间：
2017-12-01
期刊：
影响因子：
2.7
通讯作者：
Xu, Bai-Xiang
中科院分区：
文献类型：
--
作者：
Eder-Goy, Dagmar;Zhao, Ying;Xu, Bai-Xiang
分析了预拉伸弹性体薄膜在电载荷作用下的动态响应。因此，考虑了两种电压施加情况，恒定电压和递增电压。由欧拉-拉格朗日方程和瑞利耗散函数推导出运动方程。这允许包括预拉伸的影响到粘性拉伸的演化方程。在初始状态下，通过能量准则，利用稳定性理论中关于几何不稳定性的经典方法建立了分析模型，确定了动力学假设下的拉入失稳临界值，并用于验证EOM的数值解。结果表明，惯性效应和粘性效应对拉入稳定性都有显著影响。特别地，在低于临界电场的施加电场下，粘性行为仍然可以引起故障，其发生时间延迟。可以观察到一个非单调的依赖性的破坏拉伸的大小上的施加的电场低于临界值。
The dynamic response of a pre-stretched elastomer membrane under electric loading was analysed. Thereby, two cases of voltage application, constant voltage and an incrementally increased voltage were regarded. The equation of motion (EOM) was derived from the Euler-Lagrange equation and the Rayleigh dissipation function. This allowed to include the influence of prestretch into the evolution equation of the viscous stretch. The critical values of pull-in instability under dynamic assumptions were determined at the initial state by an analytical model derived from the classical approaches of stability theory regarding geometric instabilities by using an energy criterion and were used to validate the numerical solution of the EOM. The results showed that both inertia and viscous effects have a notable influence on the pull-in stability behavior. In particular, at applied electric fields below the critical electric field the viscous behavior can still induce failure, which occurs time delayed. A non-monotonic dependence of the failure stretch on the magnitude of the applied electric fields below the critical value could be observed.