scholarly journals Improving E. Cartan considerations on the invariance of nonholonomic mechanics

2019 ◽  
Vol 11 (3) ◽  
pp. 439-446
Author(s):  
Waldyr M. Oliva ◽  
◽  
Gláucio Terra ◽  
◽  
Keyword(s):  
Nonholonomic Mechanics

scholarly journals Generalized Chebyshev problem in nonholonomic mechanics and control theory

2021 ◽  
Vol 1959 (1) ◽  
pp. 012054
Author(s):  
M P Yushkov ◽  
Sh Kh Soltakhanov ◽  
V V Dodonov
Keyword(s):  
Control Theory ◽  
Nonholonomic Mechanics ◽  
Chebyshev Problem ◽  
And Control

Nonholonomic Mechanics and Control

2004 ◽  
Vol 57 (1) ◽  
pp. B3-B3
Author(s):  
AM Bloch, ◽  
B Brogliato,
Keyword(s):  
Nonholonomic Mechanics ◽  
And Control

scholarly journals NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES

2008 ◽  
Vol 05 (05) ◽  
pp. 799-830 ◽  
Author(s):  
M. DE LEÓN ◽  
D. MARTÍN DE DIEGO ◽  
M. SALGADO ◽  
S. VILARIÑO
Keyword(s):  
Projection Operator ◽  
Nonholonomic System ◽  
Nonholonomic Constraints ◽  
Momentum Equation ◽  
Classical Field ◽  
Nonholonomic Mechanics ◽  
Field Theories ◽  
Constrained Problem ◽  
Classical Field Theories

A k-symplectic framework for classical field theories subject to nonholonomic constraints is presented. If the constrained problem is regular one can construct a projection operator such that the solutions of the constrained problem are obtained by projecting the solutions of the free problem. Symmetries for the nonholonomic system are introduced and we show that for every such symmetry, there exist a nonholonomic momentum equation. The proposed formalism permits to introduce in a simple way many tools of nonholonomic mechanics to nonholonomic field theories.

Notes on new friction models and nonholonomic mechanics

2015 ◽  
Vol 58 (12) ◽  
pp. 1220-1222 ◽  
Author(s):  
A V Borisov ◽  
I S Mamaev
Keyword(s):  
Nonholonomic Mechanics ◽  
Friction Models
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