On the nonholonomic variational principle

被引：0

作者：

Swaczyna, M ^{[1
]}

机构：

[1] Univ Ostrava, Fac Sci, Dept Math, Dubna 70103 22, Russia

来源：

GLOBAL ANALYSIS AND APPLIED MATHEMATICS | 2004年 / 729卷

关键词：

Lagrangian system; nonholonomic constraints; canonical distribution; constraint ideal; constraint horizontalization and contactization; constraint Lepage equivalent; constraint first variational formula; constraint Euler-Lagrange equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A variational principle for the first order mechanical systems subjected to general nonholonomic constraints is presented, providing the (reduced) nonholonomic motion equations in a form of constraint Euler-Lagrange equations.

引用

页码：297 / 306

页数：10

共 19 条

[11] Krupkova O., 1998, P C DIFF GEOM ITS AP, P533
[12] KRUPKOVA O, 2002, CONSTRAINT HELMHOLTZ
[13] Krupkova O., 1997, LECT NOTES MATH
[14] Massa E, 1997, ANN I H POINCARE-PHY, V66, P1
[15] A geometric approach to constrained mechanical systems, symmetries and inverse problems
Morando, P
Vignolo, S
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (40): : 8233 - 8245
[16] TIME-DEPENDENT LAGRANGIAN SYSTEMS - A GEOMETRIC APPROACH TO THE THEORY OF SYSTEMS WITH CONSTRAINTS
RANADA, MF
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (02) : 748 - 758
[17] A GEOMETRICAL FRAMEWORK FOR THE STUDY OF NONHOLONOMIC LAGRANGIAN SYSTEMS
SARLET, W
CANTRIJN, F
SAUNDERS, DJ
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (11): : 3253 - 3268
[18] SARLET W, 1996, EXTRACTA MATH, V11, P202
[19] A geometrical framework for the study of non-holonomic Lagrangian systems .2.
Saunders, DJ
Sarlet, W
Cantrijn, F
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (14): : 4265 - 4274

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