作者
Dagmar Eder-Goy, Ying Zhao, Bai-Xiang Xu
发表日期
2017/12
期刊
Acta Mechanica
卷号
228
页码范围
4293-4307
出版商
Springer Vienna
简介
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 …
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