Shen Ze-chun, Mei Feng-xiang. On the New Forms of the Differential Equations of the Systems with Higher-Order Non-Holonomic Constraints[J]. Applied Mathematics and Mechanics, 1987, 8(2): 186-192.
Citation: Shen Ze-chun, Mei Feng-xiang. On the New Forms of the Differential Equations of the Systems with Higher-Order Non-Holonomic Constraints[J]. Applied Mathematics and Mechanics, 1987, 8(2): 186-192.

On the New Forms of the Differential Equations of the Systems with Higher-Order Non-Holonomic Constraints

  • Received Date: 1985-10-16
  • Publish Date: 1987-02-15
  • In this paper, the new forms of the differential equations of motion of the systems with higher-order non-holonomic constraints are obtained at first, and then the equivalence between these equations and the known equations is demonstrated. Finally an example is given to illustrate the application of our new equations.
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  • [1]
    Dolaptchiew,B,Sur les systèmes mécaniques nonholonomes assujettis ã les liaisons arbitraires,C.R.Acad Sc.Paris,262,11(1966),631-634.(in Frence).
    [2]
    梅凤翔,带任意阶非完整约束的力学系统的广义Чаплнгин方程,北京工业学院学报,2 (1981).17-29.
    [3]
    刘正福、金伏生、梅凤翔,分析力学中的高阶Nielsen算子和高阶Euler算子,应用数学和力学,7,1 (1986),51-60.
    [4]
    Dušan Mićević,and Rusov Lazar,Nove forme Jednačina analitičke mechanike,Зб.Раб.Mam.Ин-m,Београд,4(1984),139-148..
    [5]
    Mangeron,D.et S.Deleanu,Sur une classe d'équations de la mécanique analytique au sens de I.Tzenoff C.R.Acad Rulg.Sc,15(1962)..
    [6]
    Hamel,G,Theoretische Mechanik,S-V,Berlin(1949),505-506.
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