Constrained motion revisited
type: Item
instance of: scholarly article
title: Constrained motion revisited
zbMATH Open document ID: 0837.70012
DOI: 10.1016/0096-3003(94)00143-R
author: R. E. Kalaba
author: Rong Xu
author: Firdaus E. Udwadia
published in: Applied Mathematics and Computation
publication date: 1996-05-06T00:00:00Z
review text: A current assessment of the generalized inverse theory of constrained motion of discrete mechanical systems is presented, and applications are described. The purpose of this paper is to clarify misconceptions and to adumbrate the current state of the theory and its multivarious applications. The Lagrange problem of the calculus of variations with nonholonomic constraints does not yield the correct equations of motion for nonholonomically constrained mechanical systems. The simplicity and uniformity of the application of the generalized inverse relation are illustrated with simple important examples, and the computability, flexibility and controllability of the proposed approach are demonstrated.
reviewed by: Vasile Marinca
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 70H30
zbMATH DE Number: 761781
zbMATH Keywords: Lagrangian mechanics
zbMATH Keywords: d'Alembert principle
zbMATH Keywords: generalized inverse theory
zbMATH Keywords: nonholonomic constraints
MaRDI profile type: Publication
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full work available at URL: 0096-3003(94)00143-r
OpenAlex ID: W2053687867
description: scientific article; zbMATH DE number 761781