Higher Order Variational Integrators for Multibody System Dynamics with Constraints

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...

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Bibliographic Details
Main Authors: Jieyu Ding, Zhenkuan Pan
Format: Article
Language:English
Published: SAGE Publishing 2014-01-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1155/2014/383680