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层合压电材料冲击问题的时域间断Galerkin有限元方法求解

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Indexed by:期刊论文

First Author:郭攀

Co-author:卫洪涛,武文华,徐广涛,赵军

Date of Publication:2018-12-28

Journal:振动与冲击

Volume:37

Issue:24

Page Number:195-200

ISSN No.:1000-3835

Key Words:时域间断Galerkin有限元方法;冲击荷载;层合压电材料;数值振荡

Abstract:构建了压电耦合动力学问题的时域间断Galerkin有限元方法,在此基础上针对冲击作用下压电材料耦合问题进行了数值模拟.强间断、高梯度的冲击荷载作用下,传统的时域连续Galerkin有限元方法在压电耦合动力学问题模拟时,间断的波阵面及层合界面处会出现强烈的虚假数值振荡,这类振荡使得问题求解的精度大大降低.为了消除这类高频数值振荡,依据所发展的时域Galerkin有限元方法原理,在最终的有限元方法求解公式中引入了比例刚度阻尼.冲击作用下一维、二维压电动力学问题算例结果表明,所发展的时域间断Galerkin有限元方法,较好地消除了这类虚假的数值振荡,并捕捉了应力波及电势波的波前波后间断特性.

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