Luo Shao-kai. First lntegrals and lntegral lnvariants for Variable Mass Nonholonomic System in Noninertial Reference Frames[J]. Applied Mathematics and Mechanics, 1994, 15(2): 139-146.
Citation: Luo Shao-kai. First lntegrals and lntegral lnvariants for Variable Mass Nonholonomic System in Noninertial Reference Frames[J]. Applied Mathematics and Mechanics, 1994, 15(2): 139-146.

First lntegrals and lntegral lnvariants for Variable Mass Nonholonomic System in Noninertial Reference Frames

  • Received Date: 1992-07-10
  • Publish Date: 1994-02-15
  • The first integrals and their conditions of existence for variable massnonholonomic system in noninertial relerence frames are obtained,and the canonicalequations and the variation equations of the system are extended. It is proved that using the first integral we can construct the integral invariant of the system.Finally,a series of deductions and an example are given.
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  • [1]
    刘桂林等,变质量非完整力学系统的相对运动动力学,力学学报,21(6) (1989), 742-748.
    [2]
    罗绍凯,变质量系统相对于非惯性系的高阶Gibbs-Appell方法,黄淮学刊,7(3) (1991),11-21.
    [3]
    罗绍凯.变质量高阶非完整系统相对于非惯性系的B-H方程,科学通报,37(1) (1992),93-94
    [4]
    Whittaker, E. T., A Treatise on the Analytical Mechanics of Particles and Rigid Bodies, 4th Ed., Cambridge Press(1952), 269-271.
    [5]
    Djukié, Dj. S., Integral invariant in classical nonconservative dynamical system, Acta Mechanica, 23(1975), 291-296.
    [6]
    Vujanovié. B., A variational principle for nonconservative dynamical system, ZAMM, 55 (1975), 321-331.
    [7]
    刘成群、罗诗裕,非保守系统的积分不变量及其在现代物理学中的应用,应用数学和力学,6(10) (1985),879-885.
    [8]
    刘端,关于完整非保守动力学系统的基本积分变量关系,力学学报,23(5) (1991),617-625.
    [9]
    梅凤翔,非完整系统的第一积分和积分不变量,科学通报,36(11) (1991), 815-818.
    [10]
    李子平,非完整奇异系统的Poincaré-Cartan积分不变量,黄淮学刊,8(2) (1992),1-6.
    [11]
    罗绍凯,非完整非有势系统相对于非贯性系的Noether定理,应用数学和力学,12(9) (1991),883-870.
    [12]
    Luo Shao-kai, Generalized Noether theorem for variable mass higher order nonholonomic system in noninertial reference frames, Chinese Science Bulletin,36(22) (1991),1930-1932.
    [13]
    Новоеелвв В.С.,Варцачцоииые Мемобы з Мехаыцке,ЛГУ(1966),49-51.
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