Hamilton’s principle and Hamilton’s equations with holonomic and non-holonomic constraints

被引:0
|
作者
Earl Dowell
机构
[1] Duke University,
来源
Nonlinear Dynamics | 2017年 / 88卷
关键词
Hamilton’s principle; Hamilton’s equations of motion; Non-holonomic constraints;
D O I
暂无
中图分类号
学科分类号
摘要
Hamilton’s Principle is written in terms of generalized displacements and momenta. This allows holonomic and non-holonomic constraints to be treated on an equal basis using Lagrange multipliers to derive equations of motion for a dynamical system. Three examples are considered that have been previously considered in the literature by other methods.
引用
收藏
页码:1093 / 1097
页数:4
相关论文
共 50 条
  • [2] THE STATIONARY VALUE PROPERTY OF HAMILTON'S PRINCIPLE IN NON-HOLONOMIC SYSTEMS
    梁立孚
    梁忠宏
    石志飞
    [J]. Applied Mathematics and Mechanics(English Edition), 1997, (12) : 0 - 0
  • [3] The stationary value property of Hamilton's principle in non-holonomic systems
    Liang, LF
    Liang, ZH
    Shi, ZF
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1997, 18 (12) : 1169 - 1176
  • [4] The stationary value property of Hamilton's principle in non-holonomic systems
    Lifu L.
    Zhonghong L.
    Zhifei S.
    [J]. Applied Mathematics and Mechanics, 1997, 18 (12) : 1169 - 1176
  • [5] Hamilton Non-holonomic Momentum Equation of the System and Conclusions
    Liu, Hongfang
    Li, Ruijuan
    Li, Nana
    [J]. INFORMATION COMPUTING AND APPLICATIONS, PT I, 2011, 243 : 23 - +
  • [6] Euler-Lagrange and Hamilton equations for non-holonomic systems in field theory
    Krupková, O
    Volny, P
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (40): : 8715 - 8745
  • [7] LINEAR DIFFERENTIAL EQUATIONS WITH NON-HOLONOMIC CONSTRAINTS
    SAVET, PH
    [J]. TRANSACTIONS OF THE NEW YORK ACADEMY OF SCIENCES, 1964, 27 (02): : 144 - &
  • [8] UNIFIED APPROACH FOR HOLONOMIC AND NONHOLONOMIC SYSTEMS BASED ON THE MODIFIED HAMILTON'S PRINCIPLE
    Kamiya, Keisuke
    Morita, Junya
    Mizoguchi, Yutaka
    Matsunaga, Tatsuya
    [J]. PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 4, PTS A-C, 2010, : 287 - 294
  • [9] A new classification of non-holonomic constraints
    Chen, B
    Wang, LS
    Chu, SS
    Chou, WT
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1958): : 631 - 642
  • [10] Equations of motion of non-holonomic systems
    Borisov, A. V.
    Mamaev, I. S.
    [J]. RUSSIAN MATHEMATICAL SURVEYS, 2015, 70 (06) : 1167 - 1169