An equivalent multiscale method for 2D static and dynamic analyses of lattice truss materials |
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| Affiliation: | 1. Department of Engineering Mechanics, School of Civil Engineering, Wuhan University, Wuhan 430072, PR China;2. Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, PR China;1. Department of Electronics and Communication Engineering, Velammal College of Engineering and Technology, Madurai, Tamilnadu, India;2. Department of Electronics and Communication Engineering, Thiagarajar College of Engineering, Madurai, Tamilnadu, India;1. Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Hong Kong;2. Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong;3. Department of Mechanical Engineering, National University of Singapore, Singapore |
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| Abstract: | 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. |
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| Keywords: | Multiscale computational method Dynamic analysis Lattice truss materials Multiscale base functions Continuum model Mode base function |
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