Chaos and Unpredictability in the Vibration of an Elasto-Plastic Beam



Título del documento: Chaos and Unpredictability in the Vibration of an Elasto-Plastic Beam
Revista: Journal of the Brazilian Society of Mechanical Sciences
Base de datos: PERIÓDICA
Número de sistema: 000312100
ISSN: 0100-7386
Autores: 1
Instituciones: 1Instituto Militar de Engenharia, Departamento de Engenharia Mecanica e de Materiais, Rio de Janeiro. Brasil
Año:
Volumen: 23
Número: 3
Paginación: 253-267
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés This contribution discusses the nonlinear dynamics of a pin-ended elasto-plastic beam with both kinematic and isotropic hardening. An iterative numerical procedure based on the operator split technique is developed in order to deal with the nonlinearities in the equations of motion. Free and forced responses for harmonic sinusoidal and square wave excitations are investigated. Numerical simulations present many interesting behaviors such as jump phenomena, sensitivity to initial conditions, chaos and transient chaos. These results indicate that there are practical problems in predicting the response of the beam even when periodic steady state response is expected
Disciplinas: Física y astronomía,
Ingeniería
Palabras clave: Mecánica, elasticidad y reología,
Ingeniería mecánica,
Dinámica no lineal,
Caos,
Elastoplasticidad,
Vigas,
Vibraciones
Keyword: Physics and astronomy,
Engineering,
Mechanics, elasticity and rheology,
Mechanical engineering,
Nonlinear dynamics,
Chaos,
Elastoplasticity,
Beams,
Vibrations
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