Piccirillo, Vinicius [UNESP]Balthazar, José Manoel [UNESP]Pontes, Bento Rodrigues [UNESP]Psalacios Felix, Jorge Luis [UNESP]2013-09-302014-05-202013-09-302014-05-202008-01-01Journal of Theoretical and Applied Mechanics. Warszawa: Polish Soc Theoretical & Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.1429-2955http://hdl.handle.net/11449/24970In 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.597-620engshape memorynonlinear dynamicschaoshiperchaosSommerfeld effectOn a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)ArtigoWOS:000258787200008Acesso abertoWOS000258787200008.pdf