On Euler-Lagrange's Equations: A New Approach (2020)
- Authors:
- Autor USP: LAMAS, WENDELL DE QUEIRÓZ - EEL
- Unidade: EEL
- Assunto: DINÂMICA
- Keywords: composed vectors; connected rigid bodies; dynamics; vetores compostos; corpos rígidos conectados
- Agências de fomento:
- Language: Inglês
- Abstract: A new formalism is proposed to study the dynamics of mechanical systems composed of N connected rigid bodies, by introducing the concept of 6N-dimensional composed vectors. The approach is based on previous works by the authors where a complete formalism was developed by means of differential geometry, linear algebra, and dynamical systems usual concepts. This new formalism is a method for the description of mechanical systems as a whole and not as each separate part. Euler-Lagrange’s Equations are easily obtained by means of this formalism.
- Imprenta:
- Publisher: SBMAC
- Publisher place: São Carlos-SP
- Date published: 2020
- Source:
- Título: TEMA. Tendências em Matemática Aplicada e Computacional
- ISSN: 1677-1966
- Volume/Número/Paginação/Ano: v.21, n.2, p.359-369, 2020
-
ABNT
GIACAGLIA, Giorgio E. O. e LAMAS, Wendell De Queiroz. On Euler-Lagrange's Equations: A New Approach. TEMA. Tendências em Matemática Aplicada e Computacional, v. 21, n. 2, p. 359-369, 2020Tradução . . Disponível em: https://www.scielo.br/j/tema/a/5J54rqx7snwf6T9VV8Ntsbk/?format=pdf&lang=en. Acesso em: 30 dez. 2025. -
APA
Giacaglia, G. E. O., & Lamas, W. D. Q. (2020). On Euler-Lagrange's Equations: A New Approach. TEMA. Tendências em Matemática Aplicada e Computacional, 21( 2), 359-369. Recuperado de https://www.scielo.br/j/tema/a/5J54rqx7snwf6T9VV8Ntsbk/?format=pdf&lang=en -
NLM
Giacaglia GEO, Lamas WDQ. On Euler-Lagrange's Equations: A New Approach [Internet]. TEMA. Tendências em Matemática Aplicada e Computacional. 2020 ;21( 2): 359-369.[citado 2025 dez. 30 ] Available from: https://www.scielo.br/j/tema/a/5J54rqx7snwf6T9VV8Ntsbk/?format=pdf&lang=en -
Vancouver
Giacaglia GEO, Lamas WDQ. On Euler-Lagrange's Equations: A New Approach [Internet]. TEMA. Tendências em Matemática Aplicada e Computacional. 2020 ;21( 2): 359-369.[citado 2025 dez. 30 ] Available from: https://www.scielo.br/j/tema/a/5J54rqx7snwf6T9VV8Ntsbk/?format=pdf&lang=en - Fuzzy Logic Application in Multi-Period Performance Analysis of a SWTP
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