Wang Zhi-guo, Tang Li-min. Hamiltonian systems in Elasticity and Their Variational Principles[J]. Applied Mathematics and Mechanics, 1995, 16(2): 117-122.
Citation: Wang Zhi-guo, Tang Li-min. Hamiltonian systems in Elasticity and Their Variational Principles[J]. Applied Mathematics and Mechanics, 1995, 16(2): 117-122.

Hamiltonian systems in Elasticity and Their Variational Principles

  • Received Date: 1994-04-05
  • Publish Date: 1995-02-15
  • As an inverse problem of Hamiltonian mechanics,a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.
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  • [1]
    Steele,C.R.and Y.Y.Kim,Modified mixed variational principle and the state-vector equation for elastic bodies and shells of revolution,ASME J.Appl.Mech.,59,3(1992),587-595.
    [2]
    唐立民,弹性力学的混合方程和Hamilton正则方程,计算结构力学及其应用,8(4)(1991),343-350,
    [3]
    唐立民等,混合状态Hamiltonian元的半解析解和叠层板为计算,计算结构力学及其应用,(4)(1992),347-360,
    [4]
    钟万勰,条形域平面弹性问题与哈密尔顿体系,大连理工大学学报,31(4)(1991),373-384.
    [5]
    冯康、秦孟兆,Hamilton动力体系的Hamilton算法,自然科学进展—国家重点实验室通讯,试刊(2)(1990),110-120,
    [6]
    Qin Meng-zhao,et al,,Explicit systems,difference schemes for separable Hamiltonian symplectic J,Comput,Math.,9(3)(1991),211-221,
    [7]
    徐芝纶,《弹性力学》(第二版),上册,高等教育出版社(1982),
    [8]
    H.戈德斯坦,《经典力学》(第二版),陈为询译,科学出版社((1986),
    [9]
    王治国,弹性力学中哈密顿体系的研究及其应用,大连理工大学博士学位论文(1993),
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