The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering

Celso P. Pesce; Eduardo A. Tannuri; Leonardo Casetta

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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering

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Author(s):	Celso P. Pesce ^[1] ; Eduardo A. Tannuri ; Leonardo Casetta ^[3] Total Authors: 3
Affiliation:	^[1] ABCM ^[3] University of São Paulo. Escola Politécnica - Brasil Total Affiliations: 3
Document type:	Journal article
Source:	Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 28, n. 4, p. 496-504, 2006-12-00.
Abstract
The usual Lagrange equations of motion cannot be directly applied to systems with mass varying explicitly with position. In this particular context, a naive application, without any special consideration on non-conservative generalized forces, leads to equations of motions which lack (or exceed) terms of the form 1/2(<FONT FACE=Symbol>¶</font>m/<FONT FACE=Symbol>¶</FONT>q.2), where q is a generalized coordinate. This paper intends to discuss the issue a little further, by treating some applications in offshore engineering under the analytic mechanics point of view. (AU)

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