The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems:: The vakonomic bracket

被引：20

作者：

Martínez, S ^{[1
]}

Cortés, J ^{[1
]}

de León, M ^{[1
]}

机构：

[1] CSIC, Inst Matemat & Fis Fundamental, Madrid 28006, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 04期

关键词：

D O I：

10.1063/1.533229

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A vakonomic mechanical system can be alternatively described by an extended Lagrangian using the Lagrange multipliers as new variables. Since this extended Lagrangian is singular, the constraint algorithm can be applied and a Dirac bracket giving the evolution of the observables can be constructed. (C) 2000 American Institute of Physics. [S0022-2488(00)02802-4].

引用

页码：2090 / 2120

页数：31

共 50 条

[21] A practical application of the geometrical theory on fibered manifolds to an autonomous bicycle motion in mechanical system with nonholonomic constraints
Haddout, Soufiane
JOURNAL OF GEOMETRY AND PHYSICS, 2018, 123 : 495 - 506
[22] Dynamics of Multi-Body Mechanical Systems with Unilateral Constraints and Impacts
Zbiciak, Artur
Kozyra, Zofia
XXIII R-S-P SEMINAR, THEORETICAL FOUNDATION OF CIVIL ENGINEERING (23RSP) (TFOCE 2014), 2014, 91 : 112 - 117
[23] Influence of nonholonomic constraints on variations, symplectic structure, and dynamics of mechanical systems
Guo, Yong-Xin
Liu, Shi-Xing
Liu, Chang
Luo, Shao-Kai
Wang, Yong
JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (08)
[24] Dynamics and Switching Control of a Class of Underactuated Mechanical Systems with Variant Constraints
Su, Tingting
Liang, Xu
He, Guangping
Jia, Taoming
Zhao, Quanliang
Zhao, Lei
APPLIED SCIENCES-BASEL, 2019, 9 (20):
[25] Equilibrium paths of mechanical systems with unilateral constraints - I. Theory
Schulz, M
Pellegrino, S
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 456 (2001): : 2223 - 2242
[26] Dynamics of mechanical systems with nonlinear nonholonomic constraints - II Differential equations of motion
Zekovic, Dragomir N.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2011, 91 (11): : 899 - 922
[27] Dynamics of mechanical systems with nonlinear nonholonomic constraints. III Analysis of motion
Zekovic, Dragomir N.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2013, 93 (08): : 550 - 574
[28] Diversities in the Inverse Dynamics Problem for Underactuated Mechanical Systems Subject to Servo-constraints
Blajer, Wojciech
APPLIED NON-LINEAR DYNAMICAL SYSTEMS, 2014, 93 : 185 - 201
[29] DYNAMICS OF CONTROLLED MECHANICAL SYSTEMS WITH MATERIAL AND PROGRAM CONSTRAINTS .2. METHODS OF SOLUTION
JANKOWSKI, K
MECHANISM AND MACHINE THEORY, 1989, 24 (03) : 181 - 185
[30] DYNAMICS OF CONTROLLED MECHANICAL SYSTEMS WITH MATERIAL AND PROGRAM CONSTRAINTS .3. ILLUSTRATIVE EXAMPLES
JANKOWSKI, K
MECHANISM AND MACHINE THEORY, 1989, 24 (03) : 187 - 193

← 1 2 3 4 5 →