On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
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Data
2008-01-01
Autores
Piccirillo, Vinicius [UNESP]
Balthazar, José Manoel [UNESP]
Pontes, Bento Rodrigues [UNESP]
Psalacios Felix, Jorge Luis [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Polish Soc Theoretical & Applied Mechanics
Resumo
In this paper, we present nonlinear dynamic behaviour of a system which consists of a mass connected to a rigid support by a shape memory alloy (SMA) element and a damper. In order to disturb the system, a DC motor with limited power supply is connected to the mass, causing an interaction between the vibrating structure and the energy source. The SMA element is characterised using a one-dimensional phenomenological constitutive model, based on the classical Devonshire theory. We analyse the non-ideal system in form of two coupled nonlinear differential equations. Some interesting nonlinear phenomena as the Sommerfeld effect and nonlinear resonance including periodic, chaotic and hyperchaotic regime are presented.
Descrição
Palavras-chave
shape memory, nonlinear dynamics, chaos, hiperchaos, Sommerfeld effect
Como citar
Journal of Theoretical and Applied Mechanics. Warszawa: Polish Soc Theoretical & Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.