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

Detalhes bibliográficos
Autor(a) principal: Pesce,Celso P.
Data de Publicação: 2006
Outros Autores: Tannuri,Eduardo A., Casetta,Leonardo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782006000400015
Resumo: 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.
id ABCM-2_e01cc2c1484e900784d5665aac9d5227
oai_identifier_str oai:scielo:S1678-58782006000400015
network_acronym_str ABCM-2
network_name_str Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
repository_id_str
spelling The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineeringLagrange equationvariable mass with positionoffshore engineering applicationsThe 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.Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM2006-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782006000400015Journal of the Brazilian Society of Mechanical Sciences and Engineering v.28 n.4 2006reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1678-58782006000400015info:eu-repo/semantics/openAccessPesce,Celso P.Tannuri,Eduardo A.Casetta,Leonardoeng2007-10-08T00:00:00Zoai:scielo:S1678-58782006000400015Revistahttps://www.scielo.br/j/jbsmse/https://old.scielo.br/oai/scielo-oai.php||abcm@abcm.org.br1806-36911678-5878opendoar:2007-10-08T00:00Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
title The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
spellingShingle The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
Pesce,Celso P.
Lagrange equation
variable mass with position
offshore engineering applications
title_short The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
title_full The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
title_fullStr The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
title_full_unstemmed The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
title_sort The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
author Pesce,Celso P.
author_facet Pesce,Celso P.
Tannuri,Eduardo A.
Casetta,Leonardo
author_role author
author2 Tannuri,Eduardo A.
Casetta,Leonardo
author2_role author
author
dc.contributor.author.fl_str_mv Pesce,Celso P.
Tannuri,Eduardo A.
Casetta,Leonardo
dc.subject.por.fl_str_mv Lagrange equation
variable mass with position
offshore engineering applications
topic Lagrange equation
variable mass with position
offshore engineering applications
description 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.
publishDate 2006
dc.date.none.fl_str_mv 2006-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782006000400015
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782006000400015
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1678-58782006000400015
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
dc.source.none.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering v.28 n.4 2006
reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
collection Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
repository.name.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv ||abcm@abcm.org.br
_version_ 1754734680909807616