Relaxation Analysis of Two Hinged Ends Micro-plate Based on Euler-Bernoulli Equation

Zhu Xiaowei, S. Liming
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Abstract

In order to explore relaxation characteristic of micro-plate in MEMS, the deflection relaxation expression of micro-plate with two hinged ends was educed Based on Euler-Bernoulli equation. The deflection relaxation process of micro-plate under over-damping, critical-damping and under-damping was calculated used Maple. The relaxation simulation data of micro-plate with different length-width ratio used ANSYS conformed to theoretical calculation Based on Euler-Bernoulli equation and the relaxation time decrease significantly with the increase of width under over damping and critical damping relaxation simulation.
基于Euler-Bernoulli方程的铰端微板弛豫分析
为了探索MEMS中微板的弛豫特性,基于欧拉-伯努利方程推导了两端铰接微板的挠曲弛豫表达式。利用Maple计算了微板在过阻尼、临界阻尼和欠阻尼下的挠度松弛过程。ANSYS对不同长宽比微板的弛豫模拟数据符合基于Euler-Bernoulli方程的理论计算,在过阻尼和临界阻尼弛豫模拟下,随着宽度的增加,弛豫时间显著减小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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