Nonconservative mechanical systems with nonholonomic constraints

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F12%3AA13016A5" target="_blank" >RIV/61988987:17310/12:A13016A5 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Nonconservative mechanical systems with nonholonomic constraints

Original language description

A geometric setting for generally nonconservative mechanical systems on fibred manifolds is proposed. Emphasis is put on an explicit formulation of nonholonomic mechanics when an unconstrained Lagrangian system moves in a generally non-potential force field depending on time, positions and velocities, and the constraints are nonholonomic, not necessarily linear in velocities. Equations of motion, and the corresponding Hamiltonian equations in intrinsic form are given. Regularity conditions are found anda nonholonomic Legendre transformation is proposed, leading to a canonical form of the nonholonomic Hamiltonian equations for nonconservative systems.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Global Analysis and the Geometry of Fibred Spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Science China Physics, Mechanics and Astronomy

ISSN

1674-7348

e-ISSN

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Volume of the periodical

55

Issue of the periodical within the volume

8

Country of publishing house

CN - CHINA

Number of pages

10

Pages from-to

1475-1484

UT code for WoS article

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EID of the result in the Scopus database

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