中文

Journal of Shanghai University（Natural Science Edition） ›› 2016, Vol. 22 ›› Issue (4): 486-496.doi: 10.3969/j.issn.1007-2861.2014.05.022

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Dynamic analysis of electro-active polymer cylindrical shells

WANG Chengmin1, REN Jiusheng2,3   

  1. 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

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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