The D’Alembert–Lagrange Principle: a Geometrical Aspect

被引：0
|
作者：
Zubelevich O.E. [1 ]
机构：
[1] Lomonosov Moscow State University, Moscow
来源：
Journal of Applied and Industrial Mathematics | 2020年 / 14卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
classical mechanics; the d’Alembert–Lagrange Principle;
D O I：
10.1134/S1990478920030175
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Abstract: The d’Alembert–Lagrange Principle and the theory of ideal connections are consideredfrom the viewpoint of modern differential geometry and tensor analysis. © 2020, Pleiades Publishing, Ltd.
引用
收藏
页码：592 / 598
页数：6
相关论文
共 50 条
  • [1] GENERALIZED LAGRANGE-D'ALEMBERT PRINCIPLE
    Dukic, Dorde
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2012, 91 (105): : 49 - 58
  • [2] THE D'ALEMBERT-LAGRANGE PRINCIPLE FOR GRADIENT THEORIES AND BOUNDARY CONDITIONS
    Gouin, H.
    ASYMPTOTIC METHODS IN NONLINEAR WAVE PHENOMENA, 2007, : 79 - 95
  • [3] D'Alembert-Lagrange Principle in Symmetry of Advanced Dynamics of Systems
    Negrean, Iuliu
    Crisan, Adina Veronica
    Vlase, Sorin
    Pascu, Raluca Ioana
    SYMMETRY-BASEL, 2024, 16 (09):
  • [4] d' Alembert-Lagrange principle on Riemann-Cartan space
    Wang, Y
    Guo, YX
    ACTA PHYSICA SINICA, 2005, 54 (12) : 5517 - 5520
  • [5] Variational Attitude and Pose Estimation Using the Lagrange-d'Alembert Principle
    Izadi, Maziar
    Sanyal, Amit K.
    Warier, Rakesh R.
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 1270 - 1275
  • [6] Rigid Body Motion Estimation based on the Lagrange-d'Alembert Principle
    Izadi, Maziar
    Sanyal, Amit K.
    Barany, Ernest
    Viswanathan, Sasi P.
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 3699 - 3704
  • [7] Alternate Forms to Lagrange-D'Alembert Principle for Treatment of Rheonomic Constraints
    Shabana, Ahmed A.
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2024, 19 (04):
  • [8] Rigid body pose estimation based on the Lagrange-d'Alembert principle
    Izadi, Maziar
    Sanyal, Amit K.
    AUTOMATICA, 2016, 71 : 78 - 88
  • [9] Rigid body attitude estimation based on the Lagrange-d'Alembert principle
    Izadi, Maziar
    Sanyal, Amit K.
    AUTOMATICA, 2014, 50 (10) : 2570 - 2577
  • [10] A Projected Lagrange-d'Alembert Principle for Forced Nonsmooth Mechanics and Optimal Control
    Pekarek, David
    Murphey, Todd D.
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 7777 - 7784
12345