Application of canonical coordinates for solving single-freedom constraint mechanical systems

作者：Gao Fang; Zhang Xiao bo; Fu Jing li^*

来源：Applied Mathematics and Mechanics (English Edition ), 2014, 35(8): 1029-1038.

DOI：10.1007/s10483-014-1849-7

• canonical coordinates
• first integral
• Lie symmetry
• constraint mechanical system

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.

• 出版日期2014-8
• 单位浙江理工大学