留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Poincaré动力学方程Whittaker降阶法

Q. K. 戈里

Q. K. 戈里. Poincaré动力学方程Whittaker降阶法[J]. 应用数学和力学, 1994, 15(7): 639-645.
引用本文: Q. K. 戈里. Poincaré动力学方程Whittaker降阶法[J]. 应用数学和力学, 1994, 15(7): 639-645.
Q. K. Ghori. Whittaker’s Reduction Method for Poincare’s Dynamical Equations[J]. Applied Mathematics and Mechanics, 1994, 15(7): 639-645.
Citation: Q. K. Ghori. Whittaker’s Reduction Method for Poincare’s Dynamical Equations[J]. Applied Mathematics and Mechanics, 1994, 15(7): 639-645.

Poincaré动力学方程Whittaker降阶法

Whittaker’s Reduction Method for Poincare’s Dynamical Equations

  • 摘要: Whittaker降阶法是利用能量积分将一个完整动力系统的Lagrange运动方程降阶。本文论述了据李群理论构造的Poincaré方程所描述的非完整保守系统的相应结果。
  • [1] Djukic, D. S., Whittaker s equations of nonholonomic mechanical systems, Arri Aocad. Naz. Lincei Rend, Cl. Sci. Fis, Mat, Natur, 56,8(1974), 55-61.
    [2] Ghori, Q. K. and M. Hussain, Poincare's equations of nonholonomic dynamical systems, Z. Angewt Math. Mech. 53(1973), 391-396.
    [3] Guen, Fam, On the equations of motion of a nonholonomic mechanical system in Poincare-Chetaev variables, J. Appl. Math. Mech. 31(1967). 274-281.
    [4] Neimurk, Ju. I. and N. A., Fufaev, Dynamics of nonholonomic systems, Transl, Math, Monographs, Amer, Math, Soc., Providence, R. I., 33(1972).
    [5] Pats. L. A.. A treatise on Analytical Dynamics, Ox Bow Press, Connecticut,(1979).
    [6] Šalaev. V. G.. On the applicability of Whittaker's method to the dynamical equations of Maggi. Nancn, Trudy Taškent, Gos, Univ., 222(1963), 73-78.
    [7] White ker. E. T. A Treatise on Analytical Dynamics of Particles and rigid Bodies, 4th edition, Cambridge Univ. Press, Cambridge(1937).
  • 加载中
计量
  • 文章访问数:  1630
  • HTML全文浏览量:  20
  • PDF下载量:  416
  • 被引次数: 0
出版历程
  • 收稿日期:  1993-07-12
  • 刊出日期:  1994-07-15

目录

    /

    返回文章
    返回