Liang Li-fu, Shi Zhi-fei. On Some Important Problems in Analytical Dynamics of Non-Holonomic Systems[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1057-1067.
Citation: Liang Li-fu, Shi Zhi-fei. On Some Important Problems in Analytical Dynamics of Non-Holonomic Systems[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1057-1067.

On Some Important Problems in Analytical Dynamics of Non-Holonomic Systems

  • Received Date: 1992-09-12
  • Publish Date: 1993-12-15
  • By using deductive method, Chetaev condition is derived in this paper. We point out that the processes of variation and differentiation are not permutable in non-holonomic dynamics is a misunderstanding. The paper gives two classical relations of non-holonomic systems and points out integral variational principles can be applied in non-holonomic systems.
  • loading
  • [1]
    梅凤翔,《非元整系统力学基础》,北京工业学院出饭社(1985),
    [2]
    Четаев Н.Г.,Устойчивостъ движения,Рабомц по Аналцмцческой Механике,Издво АН СССР(1962).499
    [3]
    Четаев Н.Г.,Одно видоизменение принчипа Гаусса,ПММ,5(1941)
    [4]
    陈滨,《分析动力学》,北京大学出版社(1987).
    [5]
    Rumjantsev,V.V.,On variational principles of analytical mechanics,Applied Mechanics,Ed.by Zheng Zhe-min,Pergamon Press,Beijing(1989).
    [6]
    Румянчев В.В.,О принципе гамилътона для неголономных систем,ПММ,42(1978)
    [7]
    Румянчев В.В.,Об интегралъных приндипах для неголономных систсм,ПММ,46(1982)
    [8]
    钱伟长,弹性理论中广义变分原理的研究及其在有限元计算中的应用,力学与实践,(1-2)(1979),
    [9]
    钱伟长,《变分法和有限元》,科学出版社(1980),
    [10]
    胡海昌,《弹性力学变分原理及其应用》,科学出版社(1981),
    [11]
    Washizu,K.,Variational Method in Elasticity and Plasticity,Third Edition,Pergamon Press(1982).
    [12]
    梁立孚.Hamilton原理应用于非完整系统,中国兵工系统一般力学讨论会.杭州(1987),
    [13]
    Liang Li-fu,Application of Hamilton Principle to non-holonomic systems,The Conference on General Mechanics,Hangzhou(1987)."
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1857) PDF downloads(643) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return