文章基本信息

标题：Higher Order Variational Integrators for Multibody System Dynamics with Constraints:
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作者：Jieyu Ding ; Zhenkuan Pan
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2014
卷号：6
页码：1-8
DOI：10.1155/2014/383680
语种：English
出版社：Sage Publications Ltd.
摘要：The continuous and discrete Euler-Lagrangian equations with holonomic constraints are presented based on continuous and discrete Hamiltonian Principle. Using Lagrangian polynomial to interpolate state variables and Gauss quadrature formula to approximate Hamiltonian action integral, the higher order variational Galerkin integrators for multibody system dynamics with constraints and the computation procedure are given. Numerical examples are provided to show the long-time behavior of the methods proposed in this paper via comparisons with traditional Runge-Kutta methods.