Analysis of multi-degree-freedom nonholonomic constraint mechanical systems using canonical coordinate’s method

The multi-degree-freedom nonholonomic constraint systems were analyzed using method of canonical coordinates. The theorem and characteristic equations of the canonical coordinate’s equations for multi-degree-freedom nonholonomic systems are obtained. The conserved quantities and general solutions of...

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Bibliographic Details
Published inIndian journal of physics Vol. 93; no. 6; pp. 759 - 763
Main Authors Gao, Hui-Fang, Fu, Jing-Li, Gao, Fang
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 04.06.2019
Springer Nature B.V
Subjects
Astrophysics and Astroparticles
Eigenvalues
Eigenvectors
Mathematical analysis
Mechanical systems
Original Paper
Physics
Physics and Astronomy
11.10.Ef
02.20.Sv
First integral
02.30.Hq
Nonholonomic system
Canonical coordinate
Lie symmetry
11.30.-j
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Summary:The multi-degree-freedom nonholonomic constraint systems were analyzed using method of canonical coordinates. The theorem and characteristic equations of the canonical coordinate’s equations for multi-degree-freedom nonholonomic systems are obtained. The conserved quantities and general solutions of the systems are deduced directly by choosing appropriate canonical coordinates. An example is given to illustrate application of the results.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-018-1338-6