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工程力学  2014 

压电圆柱棒基于变分渐近法的广义Timoshenko模型

DOI: 10.6052/j.issn.1000-4750.2013.04.0327, PP. 14-20

Keywords: 复合材料力学,降维模型,变分渐近法,压电圆柱棒,机-电耦合

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Abstract:

基于变分渐近方法,对外侧表面无规定电势作用的压电圆柱棒构建了一种新的广义Timoshenko模型,以准确捕捉介质效应、压电材料极化以及机-电耦合性质。利用细长比作为小参数渐近近似计算压电圆柱棒的三维机电焓,得到等效的一维机电焓,并将二阶渐近修正的能量项保存在近似机电焓表达式中。为便于工程应用,将近似机电焓转换为具有6个力自由度和1个附加电自由度的广义Timoshenko模型。通过截面极化下悬臂压电圆柱棒端部挠度算例表明:所构建的模型与ANSYS三维多物理场耦合模拟具有很好的一致性,并能以很小的精度损失极大地简化分析过程。

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