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.
|Number of pages
|International Journal for Numerical Methods in Engineering
|Published - 2021 Jul 15
Bibliographical noteFunding Information:
Basic Science Research Programs through the National Research Foundation of Korea funded by the Ministry of Education and Ministry of Science, ICT, and Future Planning, NRF‐ 2018R1A1A1A05078730; NRF‐2020R1F1A1064012 Funding information
This research was supported by the Basic Science Research Programs through the National Research Foundation of Korea funded by the Ministry of Education and Ministry of Science, ICT, and Future Planning (NRF‐2020R1F1A1064012 and NRF‐2018R1A1A1A05078730).
© 2021 John Wiley & Sons Ltd.
- component mode synthesis
- iterative method
- localized Lagrange multipliers
- partitioned formulation
- residual flexibility
ASJC Scopus subject areas
- Numerical Analysis
- General Engineering
- Applied Mathematics