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哈密顿-雅可比方法对非线性非完整系统的适用性

Q·K·戈里 纳赛尔·艾赫默德

Q·K·戈里, 纳赛尔·艾赫默德. 哈密顿-雅可比方法对非线性非完整系统的适用性[J]. 应用数学和力学, 1988, 9(10): 879-892.
引用本文: Q·K·戈里, 纳赛尔·艾赫默德. 哈密顿-雅可比方法对非线性非完整系统的适用性[J]. 应用数学和力学, 1988, 9(10): 879-892.
Q. K. Ckori, Naseer Ahmed. Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1988, 9(10): 879-892.
Citation: Q. K. Ckori, Naseer Ahmed. Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1988, 9(10): 879-892.

哈密顿-雅可比方法对非线性非完整系统的适用性

Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems

  • 摘要: 本文用庞加莱(Poincaré)形式将哈密顿-雅可比方法(Hamilton-Jacobi method)推广到具有非线性非完整约束的动力系统的运动情况.研究了本方法对该系统推广的必要条件和充分条件.并用非完整系统的某些具体实例进行了说明.
  • [1] Ghori, Q.K., Virtual displacements of nonhoionomic systems with arbitrary constraints, Z. Angew. Math. Mech., 52(1972), 123-124.
    [2] Ghori, Q.K., Hamilton-Jacobi theorem in Poincaré-Chetaev variables, Z. Angew. Math. Mech., 66, 10(1986), 471-476.
    [3] Ghori, Q.K. and M. Hussain, Equations of motion of nonholonomic dynamical systems in Poincaré-Chetaev variables, Z. Angew. Math. Mech., 54(1974), 311-318.
    [4] Ghori, Q.K. and M. Hussain, Generalization of Hamilton-Jacobi theorem, Z. Angew. Math. Phys., 25(1974), 536-540.
    [5] Rumyantsev, V.V. and A.S. Sumbatov, On the problem of a generalization of the HamiltonJacobi method to nonholonomic systems, Z. Angew. Math. Mech., 58, 11(1978), 477-481.
    [6] Van Dooren, R., The generalized Hamilton-Jacobi method for nonholonomic dynamical systems of Chetaev's type, Z. Angew. Math Mech., 55, 7/8(1975), 407-411.
    [7] Van Dooren, R., Motion of a rolling disc by a new generalized Hamilton-Jacobi method, Z. Angew Math. Phys., 27(1976), 501-505.
    [8] Van Dooren, R., Generalized method for nonholonomic systems with applications in various fields of classical mechanics, 14th IUTAM Congress on Theoretical and Applied Mechanics, Delft(1976), 373-391, North Holland Amsterdam(1977).
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出版历程
  • 收稿日期:  1987-10-15
  • 刊出日期:  1988-10-15

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