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Novel modal methods for transient analysis with a reduced order model based on enhanced Craig–Bampton formulation

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  • Kim, Jin-Gyun
  • Seo, Jaho
  • Lim, Jae Hyuk

Abstract

For transient analysis of structural dynamics with reduced order model (ROM), data recovery procedures that use modal methods such as the classical mode-acceleration (MA) and modal-displacement (MD) methods are an important step in order to increase the convergence and accuracy of the solution. In this work, we propose novel MA and MD methods for highly accurate transient analysis with a reduced order model based on enhanced Craig–Bampton (ECB) formulation, which is an extension of the classical Craig–Bampton (CB) method that is a way to reduce the size of a finite element (FE) model. The performance of the proposed data recovery approach is demonstrated with two numerical examples. We also investigate the relation between the proposed and classical MA and MD methods.

Suggested Citation

  • Kim, Jin-Gyun & Seo, Jaho & Lim, Jae Hyuk, 2019. "Novel modal methods for transient analysis with a reduced order model based on enhanced Craig–Bampton formulation," Applied Mathematics and Computation, Elsevier, vol. 344, pages 30-45.
    • Handle: RePEc:eee:apmaco:v:344-345:y:2019:i::p:30-45
    DOI: 10.1016/j.amc.2018.09.070
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    References listed on IDEAS

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    1. Karasözen, Bülent & Akkoyunlu, Canan & Uzunca, Murat, 2015. "Model order reduction for nonlinear Schrödinger equation," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 509-519.
    2. Udagedara, Indika & Helenbrook, Brian & Luttman, Aaron & Mitchell, Stephen E., 2015. "Reduced order modeling for accelerated Monte Carlo simulations in radiation transport," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 237-251.
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    Cited by:

    1. Go, Myeong-Seok & Lim, Jae Hyuk & Kim, Jin-Gyun & Hwang, Ki-ryoung, 2020. "A family of Craig–Bampton methods considering residual mode compensation," Applied Mathematics and Computation, Elsevier, vol. 369(C).

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