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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
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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

  • Received Date: May 31, 2006
  • Revised Date: November 05, 2006
    Graphical Abstract
    • 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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