Author:
Wang Yong,Cui Jin-Chao,Chen Ju,Guo Yong-Xin
Abstract
For conservative linear homogeneous nonholonomic systems, there exists a cotangent bundle with the symplectic structure dπμ
∧ dξμ
, in which the motion equations of the system can be written into the form of the canonical equations by the set of quasi-coordinates πμ
and quasi-momenta ξμ
. The key to construct this cotangent bundle is to define a set of suitable quasi-coordinates πμ
by a first-order linear mapping, so that the reduced configuration space of the system is a Riemann space with no torsion. The Hamilton–Jacobi method for linear homogeneous nonholonomic systems is studied as an application of the quasi-canonicalization. The Hamilton–Jacobi method can be applied not only to Chaplygin nonholonomic systems, but also to non-Chaplygin nonholonomic systems. Two examples are given to illustrate the effectiveness of the quasi-canonicalization and the Hamilton–Jacobi method.
Subject
General Physics and Astronomy
Cited by
3 articles.
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