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A family of Craig–Bampton methods considering residual mode compensation

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  • Go, Myeong-Seok
  • Lim, Jae Hyuk
  • Kim, Jin-Gyun
  • Hwang, Ki-ryoung

Abstract

In this paper, we investigate the formulation of a family of Craig-Bampton (CB) methods considering residual modes by O'Callahan's approximation and adding generalized coordinate vectors containing unknown eigenvalues. In addition, we propose an nth-order higher-order CB+ (HCBn+) method for compensating the (n + 1)th residual flexibility in the nth-order HCB (HCBn) method by O'Callahan's approach. Therefore, various CB methods with improved performance, such as the enhanced Craig-Bampton (ECB) method, which uses O'Callahan's approximation, and the higher-order Craig-Bampton (HCB) method, which adds generalized coordinate vectors, and HCB+ are employed for the comparison of performance with the aid of multiprecision computing. Through three benchmark examples, it is revealed that the HCB1+ method, a modified version of the first-order HCB method (HCB1) with the aid of O'Callahan's approximation proposed, shows better performance than HCB1 with the same number of retained modes. However, HCB2+ and HCB3+, modified versions of the second- and third-order HCB method, respectively, cannot be improved further. From the results, we concluded that this was due to the limitation of O'Callahan's approach, which many researchers have fundamentally questioned.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308148
    DOI: 10.1016/j.amc.2019.124822
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    References listed on IDEAS

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    1. 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.
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