| Inverse Eigenvalue Problems for a Structure with Linear Parameters |
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| 作者姓名： | 伍良生 杨家华 魏源迁 门浩 杨庆坤 刘振宇 |
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| 作者单位： | CollegeofMechanicalEngineering＆AppliedElectronicsTechnology,BeijingPolytechnicUniversity,Beijing100022 |
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| 基金项目： | 北京市自然科学基金;国家自然科学基金 |
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| 摘 要： | The inverse design method of a dynamic system with linear parameters has been studied. For some specified eigenvalues and eigenvectors, the design parameter vector which is often composed of whole or part of coefficients of spring and mass of the system can be obtained and the rigidity and mass matrices of an initially designed structure can be reconstructed through solving linear algebra equations. By using implicit function theorem, the conditions of existence and uniqueness of the solution are also deduced. The theory and method can be used for inverse vibration design of complex structure system.
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| 关 键 词： | 反转特征值问题 线性参数 设计方案 矩阵 特征向量 |
Inverse Eigenvalue Problems for a Structure with Linear Parameters |
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| WU Liang-sheng,YANG Jia-hua,WEI Yuan-qian,MEN Hao,YANG Qing-kun,LIU Zhen-yu.Inverse Eigenvalue Problems for a Structure with Linear Parameters[J].Journal of Donghua University,2005,22(1):116-119. |
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| Authors: | WU Liang-sheng YANG Jia-hua WEI Yuan-qian MEN Hao YANG Qing-kun LIU Zhen-yu |
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| Abstract: | The inverse design method of a dynamic system with linear parameters has been studied. For some specified eigenvalues and eigenvectors, the design parameter vector which is often composed of whole or part of coefficients of spring and mass of the system can be obtained and the rigidity and mass matrices of an initially designed structure can be reconstructed through solving linear algebra equations. By using implicit function theorem, the conditions of existence and uniqueness of the solution are also deduced. The theory and method can be used for inverse vibration design of complex structure system. |
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| Keywords: | inverse eigenvalue problems redesign structure |
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