NDLI: The method of variation on parameters for integration of a generalized Birkhoffian system

Content Provider	Springer Nature Link
Author	Zhang, Yi
Copyright Year	2011
Abstract	This paper focuses on studying the integration method of a generalized Birkhoffian system. The method of variation on parameters for the dynamical equations of a generalized Birkhoffian system is presented. The procedure for solving the problem can be divided into two steps: the first step, a system of auxiliary equations is constructed and its general solution is given; the second step, the parameters are varied, and the solution of the problem is obtained by using the properties of generalized canonical transformation. The method of variation on parameters for the generalized Birkhoffian system is of universal significance, and we take a nonholonomic system and a nonconservative system as examples to illustrate the application of the results of this paper.
Starting Page	1059
Ending Page	1064
Page Count	6
File Format	PDF
ISSN	05677718
Journal	Acta Mechanica Sinica
Volume Number	27
Issue Number	6
e-ISSN	16143116
Language	English
Publisher	The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Publisher Date	2011-09-12
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Birkhoffian system Method of integration Variation on parameter Nonholonomic constraint Nonconservative system Theoretical and Applied Mechanics Engineering Fluid Dynamics Computational Intelligence Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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