| Inverse Perturbation Method for Inverse Eigenvalue Problem Based on Finite Element Analysis |
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| 作者姓名： | 苗玉彬 刘成良 曹其新 李杰 |
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| 作者单位： | [1]SchoolofMechanicalEngineering,ShanghaiJiaotongUniversity,Shanghai,200051 [2]TheUniversityofWisconsin,Milwaukee,USA |
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| 基金项目： | This research is supported by China National Natural Science Foundation (CNNSF), Research Grant No. 50128504 |
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| 摘 要： | An inverse perturbation method is described for solving the general inverse eigenvalne problem. By taking the analysis of the rotor system as example based upon FEM,the new inverse perturbation method for structural design with specified low-order natural freqneneies or frequency constraint bands is detailed as well as its complete theoretical basis. Moreover, formulations to calculate the inverse perturbation parameter ε and method to select thecorresponding ε‘s value properly are also proposed. Theproposed method is characterized in reducing frequencyanalysis and suitable for large and small structural changesalike. Finally, several different numerical examples forinverse eigenvalue problem are discussed to illustrate themethod, which show that this inverse perturbation methotis general and can be applied to other type of structure orelement.
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| 关 键 词： | 有限元分析 反转特征值 反转干扰 振动 转子系统 自然频率 特有频率 结构设计 |
Inverse Perturbation Method for Inverse Eigenvalue Problem Based on Finite Element Analysis |
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| MIAO Yu-bin LIU Cheng-liang CAO Qi-xin School of Mechanical Engineering,Shanghai Jiaotong University,Shanghai, Jay Lee The University of Wisconsin,Milwaukee,USA.Inverse Perturbation Method for Inverse Eigenvalue Problem Based on Finite Element Analysis[J].Journal of Donghua University,2004,21(1):78-84. |
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| Authors: | MIAO Yu-bin LIU Cheng-liang CAO Qi-xin School of Mechanical Engineering Shanghai Jiaotong University Shanghai Jay Lee The University of Wisconsin Milwaukee USA |
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| Institution: | 1. School of Mechanical Engineering, Shanghai J iaotong University, Shanghai, 200051
2. The University of Wisconsin, Milwaukee, USA |
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| Abstract: | An inverse perturbation method is described for solving the general inverse eigenvalue problem. By taking the analysis of the rotor system as example based upon FEM,the new inverse perturbation method for structural design with specified low-order natural frequencies or frequency constraint bands is detailed as well as its complete theoretical basis. Moreover, formulations to calculate the inverse perturbation parameter ε and method to select the corresponding ε's value properly are also proposed. The proposed method is characterized in reducing frequency analysis and suitable for large and small structural changes alike. Finally, several different numerical examples for inverse cigenvalue problem are discussed to illustrate the method, which show that this inverse perturbation method is general and can be applied to other type of structure or element. |
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| Keywords: | Inverse Eigenvalue Problem Perturbation Inverse Perturbation Method |
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