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2004•Unpublished venueRequires access

Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev's type

Qiao Yong-Fen, MA Yong-sheng

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Abstract

Using the Lie symmetry under infinitesimal transformations in which the time is not variable,the Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev's type is studied.The differential equations of motion of the system and the determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman's conservation theorems of the system are established.Finally,we give an example to illustrate the application of the result.

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What this paper is about

Using the Lie symmetry under infinitesimal transformations in which the time is not variable,the Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev's type is studied.The differential equations of motion of the system and the determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman's conservation theorems of the system are established.Finally,we give an example to illustrate the application of the result.

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Available abstract

Using the Lie symmetry under infinitesimal transformations in which the time is not variable,the Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev's type is studied.The differential equations of motion of the system and the determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman's conservation theorems of the system are established.Finally,we give an example to illustrate the application of the result.

Key concepts: Noether's theorem, Nonholonomic system, Infinitesimal, Conserved quantity, Infinitesimal transformation, Symmetry (geometry), Conservation law, Mathematical physics

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