The criteria of \(d\)-\(\delta\) operations' exchange relationship in nonholonomic systems of analytical dynamics
type: Item
instance of: scholarly article
title: The criteria of \(d\)-\(\delta\) operations' exchange relationship in nonholonomic systems of analytical dynamics
zbMATH Open document ID: 0915.70009
DOI: 10.1016/S0093-6413(96)00071-7
author: Zhenduo Xu
author: Erlie Liu
published in: Mechanics Research Communications
publication date: 1997-12-14T00:00:00Z
review text: The authors consider the exchange relationship between differential operation \(d\) and variational operation \(\delta\) as one of the basic problems of analytical mechanics. Taking into account the classical definition of variation, the criteria determining whether the \(d\)-\(\delta\) operations are exchangeable or not are presented for generalized coordinates and velocities which appear explicitly in the nonholonomic constraint equations of motion. Thus, it is shown that the exchange relationship for \(d\)-\(\delta\) operations is not universally tenable.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 70F25
zbMATH DE Number: 1076433
zbMATH Keywords: criteria of exchangeability
zbMATH Keywords: generalized velocities
zbMATH Keywords: differential operation
zbMATH Keywords: variational operation
zbMATH Keywords: generalized coordinates
MaRDI profile type: Publication
full work available at URL: s0093-6413(96)00071-7
OpenAlex ID: W2039298433
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description: scientific article; zbMATH DE number 1076433