On non-ideal and non-linear portal frame dynamics analysis using bogoliubov averaging method



Título del documento: On non-ideal and non-linear portal frame dynamics analysis using bogoliubov averaging method
Revista: Journal of the Brazilian Society of Mechanical Sciences
Base de datos: PERIÓDICA
Número de sistema: 000312114
ISSN: 0100-7386
Autores: 1
2
3
Instituciones: 1Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica, Campinas, Sao Paulo. Brasil
2Universidade Estadual Paulista "Julio de Mesquita Filho", Departamento de Estatistica, Matematica Aplicada e Computacao, Rio Claro, Sao Paulo. Brasil
3Universidade de Sao Paulo, Departamento de Estrutura e Fundacoes, Sao Paulo. Brasil
Año:
Periodo: Nov
Volumen: 24
Número: 4
Paginación: 257-265
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés We apply the Bogoliubov Averaging Method to the study of the vibrations of an elastic foundation, forced by a Non-ideal energy source. The considered model consists of a portal plane frame with quadratic nonlinearities, with internal resonance 1:2, supporting a direct current motor with limited power. The non-ideal excitation is in primary resonance in the order of one-half with the second mode frequency. The results of the averaging method, plotted in time evolution curve and phase diagrams are compared to those obtained by numerically integrating of the original differential equations. The presence of the saturation phenomenon is verified by analytical procedures
Disciplinas: Física y astronomía,
Ingeniería
Palabras clave: Mecánica, elasticidad y reología,
Ingeniería mecánica,
Vibraciones,
Estructuras de acero,
Resonancia interna,
Saturación,
Sistemas no ideales,
Bogoliubov
Keyword: Physics and astronomy,
Engineering,
Mechanics, elasticity and rheology,
Mechanical engineering,
Vibrations,
Steel structures,
Internal resonance,
Saturation,
Non ideal systems,
Bogoliubov
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