Dynamic condensation approach to the calculation of eigensensitivity

Shun Weng, Ai Zhu Zhu, Hong Ping Zhu, Yong Xia, Ling Mao, Peng Hui Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

15 Citations (Scopus)

Abstract

Calculation of the eigensensitivity of a large and complex structural system requires considerable computational resources and is time-consuming. This paper derives the eigenvalue and eigenvector derivatives of a structure based on a dynamic condensation technique. The eigensensitivity of a structure are computed by iteratively updating the derivatives of the condensed system matrices and a transformation matrix. As the condensed model is much smaller than the original full model, the proposed method is quite efficient in the calculation of the eigensensitivity. The accuracy and efficiency of the proposed method are verified by the GARTEUR structure and a cantilever plate.
Original languageEnglish
Pages (from-to)55-64
Number of pages10
JournalComputers and Structures
Volume132
DOIs
Publication statusPublished - 1 Feb 2014

Keywords

  • Dynamic condensation
  • Eigensensitivity
  • Eigenvalue derivative
  • Eigenvector derivative
  • Large structure

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

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