An iterative scheme of flexibility-based component mode synthesis with higher-order residual modal compensation

In Seob Chung, Jin Gyun Kim, Soo Won Chae, K. C. Park

Research output: Contribution to journalArticlepeer-review

Abstract

An Iterative Flexibility-based Component Mode Synthesis (IF-CMS) is presented for the model reduction of partitioned structural dynamic systems via localized Lagrange multipliers. A distinct IF-CMS feature is the inclusion of hierarchical residual flexibility at each iteration, resulting in considerably improved accuracy compared with the classical Craig–Bampton (CB) CMS method. The present IF-CMS method does not increase the number of substructural modes during the hierarchical iteration process. In particular, to alleviate ill-conditioning during the iteration steps, the proposed IF-CMS method adopts the so-called (qd, (Formula presented.), ub)-formulation by condensing Lagrange multipliers from the original F-CMS method. The performance of the proposed method is evaluated through numerical examples, which illustrates improved accuracy over existing CMS methods.

Original languageEnglish
Pages (from-to)3171-3190
Number of pages20
JournalInternational Journal for Numerical Methods in Engineering
Volume122
Issue number13
DOIs
Publication statusPublished - 2021 Jul 15

Keywords

  • component mode synthesis
  • iterative method
  • localized Lagrange multipliers
  • partitioned formulation
  • residual flexibility

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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