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



Document title: The Lagrange equations for systems with mass varying explicitly with position: some applications to offshore engineering
Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Database: PERIÓDICA
System number: 000312335
ISSN: 1678-5878
Authors: 1

1
Institutions: 1Universidade de Sao Paulo, Escola Politecnica, Sao Paulo. Brasil
Year:
Season: Oct-Dic
Volumen: 28
Number: 4
Pages: 496-504
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English 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 (dm/dq) 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
Disciplines: Ingeniería,
Matemáticas
Keyword: Ingeniería mecánica,
Matemáticas aplicadas,
Ecuación de Lagrange,
Movimiento,
Sistemas de masa variable,
Oceanografía
Keyword: Engineering,
Mathematics,
Mechanical engineering,
Applied mathematics,
Motion,
Lagrange equation,
Variable mass systems,
Offshore,
Oceanography
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