Macroscopic damping model for structural dynamics with random polycrystalline configurations | |
Yang Yantao1; Cui Junzhi1; Yu Yifan1; Xiang Meizhen2 | |
刊名 | Acta Mechanica Sinica |
2018 | |
卷号 | 34期号:3页码:493 |
ISSN号 | 0567-7718 |
英文摘要 | In this paper the macroscopic damping model for dynamical behavior of the structures with random polycrystalline configurations at micro-nano scales is established. First, the global motion equation of a crystal is decomposed into a set of motion equations with independent single degree of freedom (SDOF) along normal discrete modes, and then damping behavior is introduced into each SDOF motion. Through the interpolation of discrete modes, the continuous representation of damping effects for the crystal is obtained. Second, from energy conservation law the expression of the damping coefficient is derived, and the approximate formula of damping coefficient is given. Next, the continuous damping coefficient for polycrystalline cluster is expressed, the continuous dynamical equation with damping term is obtained, and then the concrete damping coefficients for a polycrystalline Cu sample are shown. Finally, by using statistical two-scale homogenization method, the macroscopic homogenized dynamical equation containing damping term for the structures with random polycrystalline configurations at micro-nano scales is set up. |
资助项目 | [National Basic Research Program of China (973 Program)] ; [National Natural Science Foundation of China] ; [State Key Laboratory of Science and Engineering Computing (LSEC)] |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33758] |
专题 | 计算数学与科学工程计算研究所 |
作者单位 | 1.中国科学院数学与系统科学研究院 2.Institute of Applied Physics and Computational Mathematics |
推荐引用方式 GB/T 7714 | Yang Yantao,Cui Junzhi,Yu Yifan,et al. Macroscopic damping model for structural dynamics with random polycrystalline configurations[J]. Acta Mechanica Sinica,2018,34(3):493. |
APA | Yang Yantao,Cui Junzhi,Yu Yifan,&Xiang Meizhen.(2018).Macroscopic damping model for structural dynamics with random polycrystalline configurations.Acta Mechanica Sinica,34(3),493. |
MLA | Yang Yantao,et al."Macroscopic damping model for structural dynamics with random polycrystalline configurations".Acta Mechanica Sinica 34.3(2018):493. |
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