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

Autor(es)

Celso P. Pesce ^[1] ; Eduardo A. Tannuri ; Leonardo Casetta ^[3]

Afiliação do(s) autor(es)

^[1] ABCM

^[3] University of São Paulo. Escola Politécnica - Brasil

• Tipo de documento: Artigo Científico
• Fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 28, n. 4, p. 496-504, 2006-12-00.

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. (AU)

• Processo FAPESP: 04/04611-5 - Impacto de estruturas contra a superficie-livre da água: uma abordagem teórica
• Beneficiário: Leonardo Casetta
• Modalidade de apoio: Bolsas no Brasil - Doutorado