Generalized Birkhoffian representation of nonholonomic systems and its discrete variational algorithm

doi:10.1088/1674-1056/25/11/114501

Abstract By using the discrete variational method, we study the numerical method of the general nonholonomic system in the generalized Birkhoffian framework, and construct a numerical method of generalized Birkhoffian equations called a self-adjoint-preserving algorithm. Numerical results show that it is reasonable to study the nonholonomic system by the structure-preserving algorithm in the generalized Birkhoffian framework.

Keywords: nonholonomic system generalized Birkhoffian system conditions of self-adjointness self-adjoint-preserving algorithm

Received: 30 April 2016
Revised: 03 June 2016
Accepted manuscript online:

PACS:	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	45.10.-b	(Computational methods in classical mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11472124, 11572145, 11202090, and 11301350), the Doctor Research Start-up Fund of Liaoning Province, China (Grant No. 20141050), the China Postdoctoral Science Foundation (Grant No. 2014M560203), and the General Science and Technology Research Plans of Liaoning Educational Bureau, China (Grant No. L2013005).

Corresponding Authors: Chang Liu
E-mail: liuchang101618@126.com

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Shixing Liu(刘世兴), Chang Liu(刘畅), Wei Hua(花巍), Yongxin Guo(郭永新) Generalized Birkhoffian representation of nonholonomic systems and its discrete variational algorithm 2016 Chin. Phys. B 25 114501

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Generalized Birkhoffian representation of nonholonomic systems and its discrete variational algorithm

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