Application of canonical coordinates for solving single-freedom constraint mechanical systems |
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Authors: | Fang Gao Xiao-bo Zhang Jing-li Fu |
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Institution: | Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China |
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Abstract: | This paper introduces the canonical coordinates method to obtain the first integral of a single-degree freedom constraint mechanical system that contains conservative and non-conservative constraint homonomic systems. The definition and properties of canonical coordinates are introduced. The relation between Lie point symmetries and the canonical coordinates of the constraint mechanical system are expressed. By this relation, the canonical coordinates can be obtained. Properties of the canonical coordinates and the Lie symmetry theory are used to seek the first integrals of constraint mechanical system. Three examples are used to show applications of the results. |
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Keywords: | canonical coordinates first integral Lie symmetry constraint mechanical system |
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