| Journal: | Journal of the Brazilian Society of Mechanical Sciences |
| Database: | PERIÓDICA |
| System number: | 000312114 |
| ISSN: | 0100-7386 |
| Authors: | Palacios, J.L1 Balthazar, J.M2 Brasil, R.M.L.R.F3 |
| Institutions: | 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 |
| Year: | 2002 |
| Season: | Nov |
| Volumen: | 24 |
| Number: | 4 |
| Pages: | 257-265 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | 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 |
| Disciplines: | Física y astronomía, Ingeniería |
| Keyword: | 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 |
| Full text: | Texto completo (Ver HTML) |
