Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

doi:10.1088/1674-1056/19/3/030303

中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30303-030303.doi: 10.1088/1674-1056/19/3/030303

Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

吴惠彬, 梅凤翔

Faculty of Science, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2009-04-17 修回日期:2009-05-09 出版日期:2010-03-15 发布日期:2010-03-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10932002 and 10772025), and the Fund for Fundamental Research of Beijing Institute of Technology.

Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

Wu Hui-Bin(吴惠彬)^† and Mei Feng-Xiang(梅凤翔)

Faculty of Science, Beijing Institute of Technology, Beijing 100081, China

Received:2009-04-17 Revised:2009-05-09 Online:2010-03-15 Published:2010-03-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10932002 and 10772025), and the Fund for Fundamental Research of Beijing Institute of Technology.

摘要/Abstract

摘要： This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.

Abstract: This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.

Key words: nonholonomic system, non-Chetaev's type constraint, symmetry of Lagrangians, conserved quantity

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

02.30.Jr (Partial differential equations)

吴惠彬, 梅凤翔. Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type[J]. 中国物理B, 2010, 19(3): 30303-030303.

Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔). Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type[J]. Chin. Phys. B, 2010, 19(3): 30303-030303.

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Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

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