On the equivalence of Kane's equations and Gibbs' equations for multibody dynamics formulations
type: Item
instance of: scholarly article
title: On the equivalence of Kane's equations and Gibbs' equations for multibody dynamics formulations
zbMATH Open document ID: 0631.70008
DOI: 10.1016/0093-6413(87)90029-2
published in: Mechanics Research Communications
publication date: 1987-01-01T00:00:00Z
review text: The author considers the question of applicability of the differential equations of motion of the holonomic and nonholonomic dynamical systems recently introduced by Kane, and the well known Gibbs' differential equations, to the study of motion of the multi-body dynamical systems such as robots, mechanisms and biosystems. It is demonstrated that the Kane's equations are very feasible from the standpoint of the applicability to the computer analysis. The Gibbs' differential equations of motion, although equally applicable to the complex dynamical systems, are less advisable with respect to the computerized study of the motion.
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70F20
Mathematics Subject Classification ID: 70H99
zbMATH DE Number: 4026873
zbMATH Keywords: nonholonomic dynamical systems
zbMATH Keywords: Gibbs' differential equations
zbMATH Keywords: multi-body dynamical systems
zbMATH Keywords: Kane's equations
author: Ronald L. Huston
reviewed by: B. D. Vujanović
MaRDI profile type: Publication
full work available at URL: 0093-6413(87)90029-2
OpenAlex ID: W1983472968
description: scientific article; zbMATH DE number 4026873