电活性聚合物圆柱壳的动力学特性分析

doi:10.3969/j.issn.1007-2861.2014.05.022

上海大学学报(自然科学版) ›› 2016, Vol. 22 ›› Issue (4): 486-496.doi: 10.3969/j.issn.1007-2861.2014.05.022

电活性聚合物圆柱壳的动力学特性分析

王成敏1, 任九生2,3

1. 上海大学上海市应用数学和力学研究所, 上海200072;
2. 上海大学理学院, 上海200444;
3. 上海大学上海市力学在能源工程中的应用重点实验室, 上海200444

收稿日期:2014-11-28 出版日期:2016-08-30 发布日期:2016-08-30
通讯作者: 任九生(1970—), 男, 教授, 博士, 研究方向为固体力学. E-mail: jsren@shu.edu.cn
作者简介:任九生(1970—), 男, 教授, 博士, 研究方向为固体力学. E-mail: jsren@shu.edu.cn
基金资助:
上海市重点学科建设资助项目(S30106)

Dynamic analysis of electro-active polymer cylindrical shells

WANG Chengmin1, REN Jiusheng2,3

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
2. College of Sciences, Shanghai University, Shanghai 200444, China;
3. Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200444, China

Received:2014-11-28 Online:2016-08-30 Published:2016-08-30

摘要/Abstract

摘要：

基于有限变形动力学理论, 研究了电活性聚合物圆柱壳在内表面突加内压及电场作用下的运动与破坏问题. 首先得到了描述电活性聚合物圆柱壳内表面运动的非线性常微分方程, 然后对方程进行了数值计算并进行动力学定性分析. 当突加内压小于某个确定的临界值时, 圆柱壳产生非线性周期振动, 而当突加内压大于这个临界值时, 圆柱壳将被破坏. 通过对振动的振幅、相图和周期的计算, 讨论了外加电场、内压及圆柱壳的厚度等参数对圆柱壳振动情况的影响.

关键词: 非线性周期振动 , 临界载荷 , 破坏, 突加内压 , 电活性聚合物

Abstract:

Based on the theory of finite elasto-dynamics, motion and destruction of an electro-active polymer cylindrical shell subject to suddenly applied internal pressure and an electric field are studied. A nonlinear differential equation describing the motion of the shell’s inner surface is developed. Numerical computation and qualitative dynamic analysis are conducted. It is shown that nonlinear periodic oscillation exists when the internal pressure is less than a critical value. When the pressure exceeds the value, the shell is destroyed. The effects of electric field, internal pressure and thickness of the shell on oscillation are discussed by examining vibration amplitudes, phase diagrams and periods.

Key words: critical pressure , destroy, nonlinear periodic oscillation , suddenly applied internal pressure , electro-active polymer

王成敏1, 任九生2,3. 电活性聚合物圆柱壳的动力学特性分析[J]. 上海大学学报(自然科学版), 2016, 22(4): 486-496.

WANG Chengmin1, REN Jiusheng2,3. Dynamic analysis of electro-active polymer cylindrical shells[J]. Journal of Shanghai University（Natural Science Edition）, 2016, 22(4): 486-496.

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电活性聚合物圆柱壳的动力学特性分析

Dynamic analysis of electro-active polymer cylindrical shells

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