Substructuring Method for Eigensensitivity

Shun Weng, Hongping Zhu, Yong Xia

Research output: Chapter in book / Conference proceedingChapter in an edited book (as author)Academic researchpeer-review


In this chapter, the eigensensitivity equation is derived based on the reduced eigenequation of the substructuring method developed in Chap. 2. Only the derivatives of the master modes of one substructure are calculated, and the derivatives of the discarded slave modes are compensated by the derivative of residual flexibility. In consequence, the derivatives of the master modes and residual flexibility are assembled to compute the eigensensitivity of the global structure. The first-order derivatives of eigensolutions are formulated first, and the second-order derivatives and the general high-order derivatives will be introduced in the next chapter.

Original languageEnglish
Title of host publicationEngineering Applications of Computational Methods
PublisherSpringer Nature
Number of pages20
Publication statusPublished - Jul 2023

Publication series

NameEngineering Applications of Computational Methods
ISSN (Print)2662-3366
ISSN (Electronic)2662-3374

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Modelling and Simulation
  • Engineering (miscellaneous)
  • Computational Theory and Mathematics


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