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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)
Constraint Lepage one forms in higher order mechanics with nonholonomic constraints on the dynamical space
to nonholonomic constraints of an arbitrary order has been proposed in Ref. 1. In this paper we study the simplest case, when nonholonomic constraints are of order s ? 1, s of the constraint Lepage one fo...
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
Rok uplatnění
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)
Výsledek na webu
Path planning for nonholonomic robots
algorithm and subsequent adapting this path to nonholonomic constraints by usingIn this paper, we deal with nonholonomic mobile robot path planning in a two, satisfying kinematic constraints and minimizing an eval...
JD - Využití počítačů, robotika a její aplikace
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
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