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论文类型：期刊论文

发表时间：2015-04-20

发表刊物：ENGINEERING COMPUTATIONS

收录刊物：SCIE、EI、Scopus

卷号：32

期号：2

页面范围：452-472

ISSN号：0264-4401

关键字：Elasticity; Block-circulant; Cyclic symmetry; Element-free Galerkin scaled boundary method; Partitioning algorithm

摘要：Purpose - The purpose of this paper is to exploit the cyclic symmetry to reduce the computational expense of scaled boundary method (SBM) which may cumber its further application.
   Design/methodology/approach - A partitioning EFG-SB (Element-free Galerkin-SB) algorithm is proposed for the two-dimensional elastic analysis of cyclically symmetric structures.
   Findings - By utilizing the cyclic symmetry and partitioning algorithm, the whole computational cost can be significantly reduced. Three numerical examples are given to illustrate the advantages of the proposed algorithm.
   Originality/value - It is proved that the matrices of eigenvalue and system equations of EFG-SBM for cyclically symmetric structures are block-circulant so long as a kind of symmetry-adapted reference coordinate system is adopted. No matter whether displacement constraints are cyclically symmetric or not, the partition is available for the eigenvalue equations. Therefore the major computational cost can be saved via the proposed partitioning algorithm. This paper provides an efficient algorithm for the two-dimensional elastic analysis of cyclically symmetric structures using EFG-SBM. A higher computing efficiency can be expected since the proposed partitioning algorithm facilitates parallel processing.