A Simultaneous Iterative Scheme for the Craig-Bampton Reduction Based Substructuring

Jie Cui, Jianwei Xing, Xing Wang, Yunjie Wang, Shijie Zhu, Ghantie Zheng

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

4 Citations (Scopus)
278 Downloads (Pure)


A simultaneous iterative procedure for the fixed-interface component modal synthesis (CMS) method is developed in this paper toward fast calculating the modal parameters and ROM of a large-scale and/or complicated structure. Different from existing iterative fixed-interface CMS methods, in the proposed iterative scheme, an eigenvalue independent matrix, whose columns’ projections in the exact reduced space are the global eigenvectors of interest, is chosen as the iterative term and then used as a Ritz basis to generate reduced system matrices. Consequently, all the required modes can be solved simultaneously and a ROM can be derived after one round of iterations. For reference, an implementation is given together with computational considerations. Compared with other methods for solving modal parameters and/or model order reduction, the proposed method has such merits as high computational efficiency, especially for reanalysis tasks and parallel programming. A numerical example is provided to illustrate and validate the proposed method.
Original languageEnglish
Title of host publicationDynamics of Coupled Structures, Volume 4
Subtitle of host publicationProceedings of the 35th IMAC, A Conference and Exposition on Structural Dynamics 2017
EditorsMatthew S Allen, Randall L Mayes, Daniel Jean Rixen
PublisherSpringer International Publishing AG
Number of pages12
ISBN (Electronic)9783319549309
ISBN (Print)9783319549293
Publication statusPublished - 25 Apr 2017

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644


  • omponent modal synthesis
  • substructure
  • simultaneous iterative procedure
  • model order reduction
  • Craig-Bampton method


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