Master's Dissertation
DOI
https://doi.org/10.11606/D.43.1988.tde-14022022-112154
Document
Author
Full name
Sérgio Ferreira Cortizo
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1988
Supervisor
Committee
Rodrigues, Alexandre Augusto Martins (President)
Aldrovandi, Ruben
Passos, Emerson Jose Veloso de
Aldrovandi, Ruben
Passos, Emerson Jose Veloso de
Title in Portuguese
UM FORMALISMO GEOMETRICO PARA OS FUNDAMENTO DA MECANICA ANALITICA
Keywords in Portuguese
MECÂNICA CLÁSSICA
Abstract in Portuguese
A mecânica analítica clássica tem passado, nas últimas décadas, por um processo de reformulação de suas bases matemáticas. Nosso objetivo principal nesta dissertação é estender essa reformulação à dedução das equações de Lagrange contida no tratado Mécanique Analytique, do próprio J.-L. Lagrange. A dissertação está dividida em duas partes. Na primeira apresentamos a dedução das equações de Lagrange segundo o formalismo matemático da geometria diferencial. Na segunda parte estendemos os resultados obtidos anteriormente a uma classe mais geral de sistemas mecânicos e vnculos.
Title in English
A geometric formalism for the foundations of analytical mechanics
Keywords in English
analytical mechanics
classical mechanics
Lagrange's equations
classical mechanics
Lagrange's equations
Abstract in English
A geometric formalism for the foundations of analytical mechanics
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Publishing Date
2022-02-17
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