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论文类型：期刊论文

发表时间：2014-09-01

发表刊物：ADVANCES IN ENGINEERING SOFTWARE

收录刊物：SCIE、EI

卷号：75

页面范围：14-29

ISSN号：0965-9978

关键字：Multiscale computational method; Dynamic analysis; Lattice truss materials; Multiscale base functions; Continuum model; Mode base function

摘要：A uniform multiscale computational method is developed for 2D static and dynamic analyses of lattice truss materials in elasticity based on the extended multiscale finite element method. A kind of multi-node coarse element is proposed to describe the more complex deformations compared with the original four-node coarse element and the mode base functions are added into the original multiscale base functions to consider the effects of inertial forces for the dynamic problems. The constructions of the displacement and mode base functions are introduced in detail. In addition, the orthogonality of the displacement and mode base functions are also proved, which indicates that the macroscopic displacement DOF and modal DOF are irrelevant and independent of each other. Finally, some numerical experiments are carried out to verify the validity and efficiency of the proposed method by comparison with the reference solution obtained by the standard finite element method on the fine mesh. (C) 2014 Elsevier Ltd. All rights reserved.