The force transmissibility characteristics of a passive vibration isolator in the form of shape memory alloy bar are investigated. The shape memory alloy bar, together with a rigid mass, constitutes a single-degree-of-freedom system. The force isolation ability of the oscillator is evaluated for both isothermal and convective environmental conditions. The transmissibility curve of an isothermal pseudoelastic oscillator displays single and double jumps depending upon the forcing amplitude. The shape memory alloy oscillator with coupled thermomechanical behaviour depends on the cooling rate near resonant frequencies. Increased cooling rate reduces both peak amplitude and the resonant frequency of the transmissibility curve. The force isolation provided by shape memory alloy oscillator is independent of the operating conditions.
AguiarRASaviMAPachecoPM (2013) Experimental investigation of vibration reduction using shape memory alloys. Journal of Intelligent Material Systems and Structures24(2): 247–261.
2.
AlSalehRCasciatiFEl-AttarA, et al. (2012) Experimental validation of a shape memory alloy retrofitting application. Journal of Vibration and Control18(1): 28–41.
3.
Amarante Dos SantosFCismaşiuC (2010) Comparison between two SMA constitutive models for seismic applications. Journal of Vibration and Control16(6): 897–914.
4.
BernardiniDRegaG (2005) Thermomechanical modelling, nonlinear dynamics and chaos in shape memory oscillators. Mathematical and Computer Modelling of Dynamical Systems11(3): 291–314.
5.
BernardiniDRegaG (2010) The influence of model parameters and of the thermomechanical coupling on the behavior of shape memory devices. International Journal of Non-linear Mechanics45(10): 933–946.
6.
BernardiniDVestroniF (2003) Non-isothermal oscillations of pseudoelastic devices. International Journal of Non-Linear Mechanics38(9): 1297–1313.
7.
BoZLagoudasDC (1999) Thermomechanical modeling of polycrystalline SMAs under cyclic loading, part I: theoretical derivations. International Journal of Engineering Science37(9): 1089–1140.
8.
BöttcherJNeubauerMWallaschekJ (2013) Amplitude-dependent vibration behavior of pseudoelastic shape-memory oscillators. In: Proceedings of the 11th international conference on vibration problems (ICOVP), Lisbon, 9–12 September.
9.
BoydJGLagoudasDC (1996) A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy. International Journal of Plasticity12(6): 805–842.
10.
FuSLuQ (2012) Nonlinear dynamics and vibration reduction of a dry friction oscillator with SMA restraints. Nonlinear Dynamics69(3): 1365–1381.
11.
GaikwadSRPandeyAK (2018) Nonlinear analysis of shape memory devices with duffing and quadratic oscillators. Journal of Computational and Nonlinear Dynamics13(1): 011003.
12.
JankeLCzaderskiCMotavalliM, et al. (2005) Applications of shape memory alloys in civil engineering structures – overview, limits and new ideas. Materials and Structures38(5): 578–592.
13.
JoseSChakrabortyGBhattacharyyaR (2017a) Coupled thermo-mechanical analysis of a vibration isolator made of shape memory alloy. International Journal of Solids and Structures115: 87–103.
14.
JoseSChakrabortyGBhattacharyyaR (2017b) In: Proceedings of the 13th international conference on vibration problems. IIT Guwahati, 29 November–2 December, 2017.
15.
LacarbonaraWBernardiniDVestroniF (2004) Nonlinear thermomechanical oscillations of shape-memory devices. International Journal of Solids and Structures41(5–6): 1209–1234.
LagoudasDCBoZQidwaiMA (1996) A unified thermodynamic constitutive model for SMA and finite element analysis of active metal matrix composites. Mechanics of Composite Materials and Structures3(2): 153–179.
18.
LitakGBernardiniDSytaA, et al. (2013) Analysis of chaotic non-isothermal solutions of thermomechanical shape memory oscillators. The European Physical Journal Special Topics222(7): 1637–1647.
19.
MachadoLGLagoudasDCSaviMA (2007) Nonlinear dynamics and chaos in a shape memory alloy pseudoelastic oscillator. Proceedings of SPIE65250: 65250Y.
20.
MachadoLGLagoudasDCSaviMA (2009) Lyapunov exponents estimation for hysteretic systems. International Journal of Solids and Structures46(6): 1269–1286.
21.
MoussaMOMoumniZDoareO, et al. (2012) Non-linear dynamic thermomechanical behaviour of shape memory alloys. Journal of Intelligent Material Systems and Structures23(14): 1593–1611.
22.
OliveiraHDe PaulaASaviM (2014) Dynamical jumps in a shape memory alloy oscillator. Shock and Vibration2014: 656212.
23.
PiccirilloVBalthazarJTussetA, et al. (2015) Non-linear dynamics of a thermomechanical pseudoelastic oscillator excited by non-ideal energy sources. International Journal of Non-Linear Mechanics77: 12–27.
24.
PiccirilloVBalthazarJMPontesB (2010) Analytical study of the nonlinear behavior of a shape memory oscillator: part II–resonance secondary. Nonlinear Dynamics60(4): 513–524.
25.
PiccirilloVBalthazarJMPontesB, et al. (2009) Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control: part II: nonideal energy source. Nonlinear Dynamics56(3): 243–253.
26.
PiccirilloVBalthazarJMTussetAM, et al. (2016) Characterizing the nonlinear behavior of a pseudoelastic oscillator via the wavelet transform. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science230(1): 120–132.
27.
QidwaiMLagoudasD (2000) On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material. International Journal of Plasticity16(10): 1309–1343.
28.
SaviMA (2015) Nonlinear dynamics and chaos in shape memory alloy systems. International Journal of Non-Linear Mechanics70: 2–19.
29.
SitnikovaEPavlovskaiaEWiercigrochM, et al. (2010) Vibration reduction of the impact system by an SMA restraint: numerical studies. International Journal of Non-Linear Mechanics45(9): 837–849.
30.
ZhuoMXiaMSunQ (2019) Analytical solution of a mass-spring system containing shape memory alloys: effects of nonlinearity and hysteresis. International Journal of Solids and Structures171: 189–200.
