High order symmetric algorithms for nonlinear dynamical systems with non-holonomic constraints

Based on the Lagrange–d’Alembert principle and a modified Lagrange–d’Alembert principle, two kinds of symmetric algorithms with arbitrary high order are proposed for non-holonomic systems. The modified Lagrange–d’Alembert principle is constructed by adding an augment term to the Lagrange–d’Alembert...

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Bibliographic Details

Published in:	Mathematics and computers in simulation Vol. 212; pp. 524 - 547
Main Authors:	Man, Shumin, Gao, Qiang, Zhong, Wanxie
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.10.2023
Subjects:	High-order methods Lagrange–d’Alembert principle Non-holonomic systems Symmetric Variational integrator Variational integrator High-order methods Symmetric Lagrange–d’Alembert principle Non-holonomic systems
ISSN:	0378-4754, 1872-7166
Online Access:	Get full text
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