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振型一阶导数的高精度截尾模态展开法
引用本文:陈塑寰,刘中生,赵又群.振型一阶导数的高精度截尾模态展开法[J].力学学报,1993,25(4):427-434.
作者姓名:陈塑寰  刘中生  赵又群
作者单位:长春市吉林大学力学系
基金项目:国家自然科学基金,中科院沈阳现代制造的CAD/CAM技术开放实验室资助
摘    要:模态展开法是计算振型一阶导数的常用方法,然而,当高阶模态被截断时,它不能给出精确解,甚至会产生很大的截断误差。本文研究被截断的高阶模态对振型导数贡献的定量计算问题,证明了被截断模态的贡献可以用已知的低阶模态和系统矩阵来显式表达,给出了计算方法,并用数值例子说明了本文方法的有效性和正确性。

关 键 词:模态截尾  模态展开法  振型导数

AN ACCURATE MODAL SUPERPOSITION METHOD FOR COMPUTING MODE SHAPE DERIVATIVES IN STRUCTURAL DYNAMICS
Chen Suhuan Liu Zhongsheng and Zhao Youqun.AN ACCURATE MODAL SUPERPOSITION METHOD FOR COMPUTING MODE SHAPE DERIVATIVES IN STRUCTURAL DYNAMICS[J].chinese journal of theoretical and applied mechanics,1993,25(4):427-434.
Authors:Chen Suhuan Liu Zhongsheng and Zhao Youqun
Abstract:The modal superposition method is often used to obtain mode shape derivatives. However, it can not give an accurate solution and the errors may become significant, when more high-frequency modes are truncated. This paper deals with the contribution due to the unavailable high-frequency modes to mode shape derivatives, proves that it can be expressed by the available low-frequency modes and the system matrixes, and presents a numerical algorithm. Numerical examples show that the method is correct and can improve greatly the accuracy.
Keywords:Modal design sensitivity  Modal truncation  Modal superposition method
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