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徐涛 于澜 鞠伟 王永利 程飞 陈文峰. 计算亏损系统模态灵敏度的逐层递推演算方法[J]. 力学学报, 2008, 40(2): 281-289. DOI: 10.6052/0459-1879-2008-2-2006-234
引用本文: 徐涛 于澜 鞠伟 王永利 程飞 陈文峰. 计算亏损系统模态灵敏度的逐层递推演算方法[J]. 力学学报, 2008, 40(2): 281-289. DOI: 10.6052/0459-1879-2008-2-2006-234
Tai Xu, Lan Yu, Wei Ju, Yongli Wang, Fei Cheng, Wenfeng Chen. Recursive solution on layer after layer for sensitivity analysis of modes on defective linear vibration system[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 281-289. DOI: 10.6052/0459-1879-2008-2-2006-234
Citation: Tai Xu, Lan Yu, Wei Ju, Yongli Wang, Fei Cheng, Wenfeng Chen. Recursive solution on layer after layer for sensitivity analysis of modes on defective linear vibration system[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 281-289. DOI: 10.6052/0459-1879-2008-2-2006-234

计算亏损系统模态灵敏度的逐层递推演算方法

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

  • 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.

     

    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.

     

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