| 一种改进的边界元/有限元混合法及其在振动特征值问题中的应用 |
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| 引用本文： | 钱江,王秀喜,黄茂光.一种改进的边界元/有限元混合法及其在振动特征值问题中的应用[J].中国科学技术大学学报,1988(1). |
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| 作者姓名： | 钱江 王秀喜 黄茂光 |
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| 作者单位： | 中国科学技术大学近代力学系
(钱江，王秀喜)，中国科学技术大学近代力学系(黄茂光) |
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| 摘 要： | 本文提出了一种改进的边界元/有限元混合法。利用这种方法计算振动固有频率问题,既可以避开一般的边界元法所导致的求解非代数特征值方程的困难,亦能够基本上消除通常的边界元/有限元混合法结果精度受区域内部单元剖分密度影响较大的弊端。文中给出了这种方法的一般列式,并用于各种形状薄膜的振动特征值问题分析。数值结果表明,既便是在域内单元很粗疏划分的情况下,本文的方法仍能给出相当满意的结果。
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| 关 键 词： | 边界元 薄膜振动 特征值 |
A Modifeid Boundary/Interior Element Approach to Free Vibration Analysis |
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| Qian Jiang,Wang Xiuxi,Huang Maoguang.A Modifeid Boundary/Interior Element Approach to Free Vibration Analysis[J].Journal of University of Science and Technology of China,1988(1). |
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| Authors: | Qian Jiang Wang Xiuxi Huang Maoguang |
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| Institution: | Qian Jiang;Wang Xiuxi;Huang Maoguang Department of Modern Mechanics |
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| Abstract: | In this paper, a general formulation of the modified boundary/interiorelement approach to eigenvalue problems of elastodynamics is proposed and applied to membrane vibration with various shape of domain. By using thisapproach, the awkward nonalgebraic eigenvalue equations that resulted by BEMare avoided, and the drawback of interior meshing domination in accuracy thataccured in the normal mixed boundary/finite elememt method is greatlyreduced. Excellent numerical results are contentedly obtained even in cases ofverycoarse interior mesh with constant elements. |
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| Keywords: | boundary element membrane vibration eigenvalue |
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