中国物理B ›› 2006, Vol. 15 ›› Issue (5): 899-902.doi: 10.1088/1009-1963/15/5/003

• GENERAL • 上一篇    下一篇

Potential method of integration for solving the equations of mechanical systems

吴惠彬   

  1. Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2005-10-25 修回日期:2005-11-28 出版日期:2006-05-20 发布日期:2006-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10272021 and 10572021) and the Doctoral Program Foundation of Institutions of Higher Education of China (Grant No 20040007022).

Potential method of integration for solving the equations of mechanical systems

Wu Hui-Bin (吴惠彬)   

  1. Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:2005-10-25 Revised:2005-11-28 Online:2006-05-20 Published:2006-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10272021 and 10572021) and the Doctoral Program Foundation of Institutions of Higher Education of China (Grant No 20040007022).

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摘要： This paper is intended to apply a potential method of integration to solving the equations of holonomic and nonholonomic systems. For a holonomic system, the differential equations of motion can be written as a system of differential equations of first order and its fundamental partial differential equation is solved by using the potential method of integration. For a nonholonomic system, the equations of the corresponding holonomic system are solved by using the method and then the restriction of the nonholonomic constraints on the initial conditions of motion is added.

Abstract: This paper is intended to apply a potential method of integration to solving the equations of holonomic and nonholonomic systems. For a holonomic system, the differential equations of motion can be written as a system of differential equations of first order and its fundamental partial differential equation is solved by using the potential method of integration. For a nonholonomic system, the equations of the corresponding holonomic system are solved by using the method and then the restriction of the nonholonomic constraints on the initial conditions of motion is added.

Key words: potential method of integration, holonomic system, nonholonomic system, equation of motion

中图分类号:  (General theory of classical mechanics of discrete systems)

  • 45.05.+x