On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)
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Undergraduate course
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Polish Soc Theoretical & Applied Mechanics
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Article
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Acesso aberto
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Abstract
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.
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Keywords
shape memory, nonlinear dynamics, chaos, hiperchaos, Sommerfeld effect
Language
English
Citation
Journal of Theoretical and Applied Mechanics. Warszawa: Polish Soc Theoretical & Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.
