A Parallel Approach of the Enhanced Craig–Bampton Method

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.

A Multilevel Hierarchical Parallel Algorithm for Large-Scale Finite Element Modal Analysis

“…Aoyama et al [17] improved the coupling method in the interfaces of each subsystem in MSA, and they successfully conducted the large-scale parallel modal analysis on a rectangular plate. Parik et al [18] used the MSA to complete the design of the parallel modal analysis computing system based on OpenMP and utilized it in calculating the parallel modal analysis of a shaft system. Cui et al [19] developed a simultaneous iterative procedure for the fixed-interface MSA, which has such merits as high computational efficiency, especially for reanalysis and parallel programming.…”