A Parallel Approach of the Enhanced Craig–Bampton Method

Petr Pařík, Jin-Gyun Kim, Martin Isoz and Chang-uk Ahn
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Petr Pařík: Department of Impact and Waves in Solids, Institute of Thermomechanics of the Czech Academy of Sciences, Dolejškova 5, 18200 Prague, Czech Republic
Jin-Gyun Kim: Department of Mechanical Engineering (Integrated Engineering), Kyung Hee University, Yongin-si 17104, Seoul 130-701, Korea
Martin Isoz: Department of Impact and Waves in Solids, Institute of Thermomechanics of the Czech Academy of Sciences, Dolejškova 5, 18200 Prague, Czech Republic
Chang-uk Ahn: Department of Mechanical Engineering (Integrated Engineering), Kyung Hee University, Yongin-si 17104, Seoul 130-701, Korea

Mathematics, 2021, vol. 9, issue 24, 1-15

Abstract: The enhanced Craig–Bampton (ECB) method is a novel extension of the original Craig–Bampton (CB) method, which has been widely used for component mode synthesis (CMS). The ECB method, using residual modal compensation that is neglected in the CB method, provides dramatic accuracy improvement of reduced matrices without an increasing number of eigenbasis. However, it also needs additional computational requirements to treat the residual flexibility. In this paper, an efficient parallelization of the ECB method is presented to handle this issue and accelerate the applicability for large-scale structural vibration problems. A new ECB formulation within a substructuring strategy is derived to achieve better scalability. The parallel implementation is based on OpenMP parallel architecture. METIS graph partitioning and Linear Algebra Package (LAPACK) are used to automated algebraic partitioning and computational linear algebra, respectively. Numerical examples are presented to evaluate the accuracy, scalability, and capability of the proposed parallel ECB method. Consequently, based on this work, one can expect effective computation of the ECB method as well as accuracy improvement.

Keywords: structural dynamics; model reduction; parallel computation; component mode synthesis; primal assembly (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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