Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (2): 125-131.

• 论文 • 上一篇    下一篇

HAMILTONIAN SYSTEMS IN ELASTICITY AND THEIR VARIATIONAL PRINCIPLES

王治国1, 唐立民2   

  1. 1. Research Institute of Vibration Engineering, Nanjing University ofAeronautics and Astronautics, Nanjing;
    2. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian
  • 收稿日期:1994-04-05 出版日期:1995-02-18 发布日期:1995-02-18
  • 基金资助:

    Project supported by the National Natural Science Foundation of China

HAMILTONIAN SYSTEMS IN ELASTICITY AND THEIR VARIATIONAL PRINCIPLES

Wang Zhi-guo1, Tang Li-min2   

  1. 1. Research Institute of Vibration Engineering, Nanjing University ofAeronautics and Astronautics, Nanjing;
    2. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian
  • Received:1994-04-05 Online:1995-02-18 Published:1995-02-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

摘要: As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system inelasticity and its variational principle are derived from the basic equations of elasticity.

关键词: large-scale systems, linear interconnection systems, time-varying delay, decentralized stabilization, elasticity, Hamiltonian system, inverse problem, variational principle

Abstract: As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system inelasticity and its variational principle are derived from the basic equations of elasticity.

Key words: large-scale systems, linear interconnection systems, time-varying delay, decentralized stabilization, elasticity, Hamiltonian system, inverse problem, variational principle

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