Substructuring Method for Responses and Response Sensitivities of Nonlinear Systems

Shun Weng, Hongping Zhu, Yong Xia

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

Abstract

Since the nonlinearity is common in practical structures while linearity is an idealized assumption, the substructuring method is extended to the nonlinear systems in the following chapters. In this chapter, Kron’s substructuring method presented in Chap. 2 is extended to compute the structural responses and response sensitivities of nonlinear systems (Tian et al. 2021). The global structure is partitioned into the linear and nonlinear substructures. The linear substructures are reduced to the modal coordinates spanned by a few master modal responses, and the nonlinear substructures are localized. The structural responses and response sensitivities are computed efficiently from the reduced vibration equation.

Original languageEnglish
Title of host publicationEngineering Applications of Computational Methods
PublisherSpringer Nature
Pages227-252
Number of pages26
DOIs
Publication statusPublished - Jul 2023

Publication series

NameEngineering Applications of Computational Methods
Volume15
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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