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Constraint Lepage one forms in higher order mechanics with nonholonomic constraints on the dynamical space
of the constraint Lepage one form associated with a nonholonomic constraint structure of order s to nonholonomic constraints of an arbitrary order has been proposed in Ref. 1. In this paper we st...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Several examples of nonholonomic mechanical systems
An unified geometric approach to nonholonomic constrained mechanical systems and rigid bodies. In every of these examples the given constraint conditions are analysed, a corresponding constraint submanifold in the phase spa...
BA - Obecná matematika
- 2011 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Geometric mechanics on nonholonomic submanifolds
to general (possibly nonlinear) nonholonomic constraints, and admit a straightforward with the following topics: the geometry of nonholonomic constraints, equations ofmotion of nonholonomic systems on
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the nonholonomic variational principle
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--Lagran...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
On the inverse variational problem in nonholonomic mechanics
The inverse problem of the calculus of variations in a nonholonomic setting is studied. The concept of constraint variationality is introduced on the basis of a recently discovered nonholonomic variational principle. Variat...
BE - Teoretická fyzika
- 2012 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Invariant nonholonomic Riemannian structures on three-dimensional Lie groups
We consider Riemannian manifolds endowed with a nonholonomic distribution. These structures model mechanical systems with a (positive definite) quadratic Lagrangian and nonholonomic constraints linear in velocities...
BA - Obecná matematika
- 2016 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Nonconservative mechanical systems with nonholonomic constraints
manifolds is proposed. Emphasis is put on an explicit formulation of nonholonomic force field depending on time, positions and velocities, and the constraints are nonholonomic, not necessarily linear in velocities. Equatio...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Symmetries and currents in nonholonomic mechanics
linear nonholonomic constraint enforcing the plane motion. We describe constraint symmetry and simultaneously the symmetry of nonholonomic equations of motion.In this paper we derive general equations for cons...
BE - Teoretická fyzika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The nonholonomic variational principle
A variational principle for mechanical systems and fields subject to nonholonomic constraints is found, providing Chetaev-reduced equations as equations of the constraint, and second, more general, when an ?internal? constr...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion
of nonholonomic constraints, not only linear or affine ones, was then verified on appropriate (non-integrable) nonholonomic constraint conditions. In this paper we studyA geometrical theory of general nonholon...
BE - Teoretická fyzika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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