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The free-interface method of component mode synthesis for systems with viscous damping

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Abstract

This paper presents a new free-interface method of component mode synthesis for linear systems with arbitrary viscous damping. The left and right projection matrices described by state-variable vectors are first introduced for components with rigid-body freedom. The operator function of projection matrices for state displacement and state force is proved, and then the state residual flexibility matrix and the state residual inertiarelief attachment mode are defined and employed. The results of three examples demonstrate that the method proposed in this paper leads to very accurate system eigenvalues and high mode-synthesis efficiency

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Authors and Affiliations

  1. Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an

    Ni Zhen-hua, Huang Shang-heng & Wang Yi-cai

Authors
  1. Ni Zhen-hua
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  2. Huang Shang-heng
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  3. Wang Yi-cai
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Additional information

Communicated by Zhang Ru-qin

Project supported by the Science Foundation of Xi’an Jiaotong University

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Zhen-hua, N., Shang-heng, H. & Yi-cai, W. The free-interface method of component mode synthesis for systems with viscous damping. Appl Math Mech 13, 189–198 (1992). https://doi.org/10.1007/BF02454242

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  • DOI: https://doi.org/10.1007/BF02454242

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