A family of Craig–Bampton methods considering residual mode compensation

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

Applied Mathematics and Computation, 2020, vol. 369, issue C

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.

Keywords: Craig-Bampton; O'Callahan's approach; Structural dynamics; Residual mode compensation; Enhanced Craig-Bampton; Higher-order Craig-Bampton (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308148

DOI: 10.1016/j.amc.2019.124822

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