Dual Craig-Bampton component mode synthesis method for model order reduction of nonclassically damped linear systems

Fabian M. Gruber, Daniel J. Rixen

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

The original dual Craig-Bampton method for reducing and successively coupling undamped substructured systems is extended to the case of arbitrary viscous damping. The reduction is based on the equations of motion in state-space representation and uses complex free interface normal modes, residual flexibility modes, and state-space rigid body modes. To couple the substructures in state-space representation, a dual coupling procedure based on the interface forces between adjacent substructures is used, which is novel compared to other methods commonly applying primal coupling procedures in state-space representation. The very good arbitrary viscous damping of the dual Craig-Bampton approach is demonstrated on a beam structure with localized dampers. The results are compared to a classical Craig-Bampton approach for damped systems showing the potential of the proposed method.

Original languageEnglish
Pages (from-to)678-698
Number of pages21
JournalMechanical Systems and Signal Processing
Volume111
DOIs
StatePublished - Oct 2018

Keywords

  • Complex modes
  • Component mode synthesis
  • Dual Craig-Bampton method
  • Dynamic substructuring
  • Model order reduction
  • Nonclassically damped systems
  • State-space formulation

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