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Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (2): 189-198.

• 论文 • 上一篇    下一篇

THE FREE-INTERFACE METHOD OF COMPONENT MODE SYNTHESIS FOR SYSTEMS WITH VISCOUS DAMPING

黄上恒, 倪振华, 王一采   

  1. Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an
  • 收稿日期:1990-09-10 出版日期:1992-02-18 发布日期:1992-02-18
  • 基金资助:
    Science Foundation of Xi’an Jiaotong University

THE FREE-INTERFACE METHOD OF COMPONENT MODE SYNTHESIS FOR SYSTEMS WITH VISCOUS DAMPING

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

  1. Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an
  • Received:1990-09-10 Online:1992-02-18 Published:1992-02-18
  • Supported by:
    Science Foundation of Xi’an Jiaotong University

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摘要： 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 inertia-relief 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

关键词: viscously damped systems, component mode synthesis, projection matrix

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 inertia-relief 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

Key words: viscously damped systems, component mode synthesis, projection matrix

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