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Macroscopic damping model for structural dynamics with random polycrystalline configurations
Yang, Yantao1; Cui, Junzhi1; Yu, Yifan1; Xiang, Meizhen2
2018-06-01
Source PublicationACTA MECHANICA SINICA
ISSN0567-7718
Volume34Issue:3Pages:493-506
AbstractIn 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.
KeywordPolycrystalline cluster Dynamical equation Damping coefficient Two-scale homogenization method Atomic-Continuum Coupled Model
DOI10.1007/s10409-017-0733-0
Language英语
Funding ProjectNational Basic Research Program of China (973 Program)[2012CB025904] ; National Natural Science Foundation of China[11102221] ; State Key Laboratory of Science and Engineering Computing (LSEC)
WOS Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
WOS IDWOS:000432609500008
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30313
Collection计算数学与科学工程计算研究所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
Recommended Citation
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):493-506.
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),493-506.
MLA Yang, Yantao,et al."Macroscopic damping model for structural dynamics with random polycrystalline configurations".ACTA MECHANICA SINICA 34.3(2018):493-506.
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