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The Borkhoffian expression of Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm

Xie Jia-Fang Pang Shuo Zou Jie-Tao Li Guo-Fu

The Borkhoffian expression of Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm

Xie Jia-Fang, Pang Shuo, Zou Jie-Tao, Li Guo-Fu
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Publishing process
  • Received Date:  04 May 2012
  • Accepted Date:  02 July 2012
  • Published Online:  05 December 2012

The Borkhoffian expression of Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm

  • 1. College of Science, North China University of Technology, Beijing 100144, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 11102001, 11026090).

Abstract: For a Boltzmann-Hamel equation of nonholonomic mechanical system, when it meets certain conditions, the Boltzmann-Hamel equation can be transformed into a Birkhoffian system. By constructing the generating function, the system is investigated numerically using the generalized symplectic geometric algorithm of the nonautonomous Birkhoffian system. Compared with the above-mentioned algorithm with the classical Runge-Kutta method, Birkhoffian symplectic scheme is very accurate in a long-term tracing.

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