计算亏损系统模态灵敏度的逐层递推演算方法

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长春吉林大学机械科学与工程学院,130022长春吉林大学机械科学与工程学院,130022长春吉林大学机械科学与工程学院,130022长春吉林大学机械科学与工程学院,130022吉林大学机械学院力学系长春吉林大学机械科学与工程学院,130022

Recursive solution on layer after layer for sensitivity analysis of modes on defective linear vibration system

College of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, China

摘要: 对不具有完全特征向量系的线性振动亏损系统，在由广义模态理论建立的亏损系统广义模态空间中，给出了亏损系统广义模态灵敏度分析算法，并推导出以逐层递推方式计算广义模态展开式系数的简便、快速的演算公式. 给出的数值算例证明了此方法的正确性和有效性.
- 亏损系统 /
- 完全特征向量系 /
- 灵敏度分析 /
- 广义模态理论 /
- Jordan标准型
Abstract: Generalized modes method of defective systems foreigenvector sensitivity analysis is presented. It is proposed to establish afeature space about generalized modes by using the theory of generalizedmodes for sensitivity analysis in linear vibration defective systems whichdoes not possess a complete set of eigenvectors in N-space. Simultaneously abrief and rapid algorithm is introduced to calculate the coefficients of thepower series expression of generalized modes by gradual and recursivesolution. A numerical example is provided to illustrate the accuracy andefficiency of the algorithms.
- defective system /
- complete set of eigenvectors /
- sensitivity analysis /
- theories of generalized modes /
- Jordan form