Nonlinear dynamics and chaos in a shape memory alloy pseudoelastic oscillator

Machado, Luciano; Lagoudas, Dimitris C.; Savi, Marcelo A.

doi:10.1117/12.715812

Cited by 5 publications

(3 citation statements)

References 16 publications

(19 reference statements)

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“…The normalized material constants employed for numerical simulations are presented in Table 1. These normalized values correlate with the material constants used in Machado et al (2007) and Lagoudas (2008). Few results from the subsection on isothermal pseudoelastic oscillator are available in the conference proceedings of ICOVP-2017, submitted by Jose et al (2017b).…”

Section: Resultssupporting

confidence: 62%

Force transmissibility characteristics of a pseudoelastic oscillator

Jose

Chakraborty

Bhattacharyya

2019

Journal of Intelligent Material Systems and Structures

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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.

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Section: Resultssupporting

confidence: 62%

Force transmissibility characteristics of a pseudoelastic oscillator

Jose

Chakraborty

Bhattacharyya

2019

Journal of Intelligent Material Systems and Structures

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“…The non-dimensional parameters required for the simulations are presented in Table 1. These values correspond to the physical parameters used by Machado et al (2007) and Lagoudas (2008).…”

Section: Resultsmentioning

confidence: 82%

Equivalent linear stiffness and damping of a shape memory alloy bar operating at isothermal and non-isothermal condition

Jose

Chakraborty

Bhattacharyya

2018

Journal of Intelligent Material Systems and Structures

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Complex stiffness of shape memory alloy bar is evaluated for isothermal and non-isothermal operating conditions. Analytical, numerical, and graphical approaches are used to evaluate complex stiffness. Real part of complex stiffness provides a measure of storage modulus, while imaginary part provides that of loss modulus. Complex stiffness is described as a function of forcing amplitude. Thermomechanical coupling changes the complex stiffness of the shape memory alloy bar at different operating conditions. It even becomes a function of forcing frequency during non-isothermal operation.

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“…In addition to jump phenomenon, chaos and bifurcation (Bernardini and Rega, 2005;Dos Santos and Savi, 2009;Lacarbonara et al, 2004;Machado et al, 2007a;Machado et al, 2007b;Machado et al, 2003Machado et al, , 2004Piccirillo et al, 2008Piccirillo et al, , 2009aSavi, 2015;Savi and Nogueira, 2010; were also studied in softening nonlinear dynamic systems with NiTi SMA. In sharp contrast, much less has been achieved on the experimental aspect.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical responses of nonlinear torsional vibration with NiTi shape memory alloy – Alternative stable states and their jumps

Xia

Qin

2017

Journal of the Mechanics and Physics of Solids

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The dynamic response of nonlinear torsional vibration with phase transformable NiTi Shape Memory Alloy (SMA) wire is investigated by experiment in this paper. The thermomechanical responses of NiTi wire as a softening nonlinear damping spring in the torsional vibration system are measured by synchronized acquisition of the rotational angle and temperature under external excitation. Frequency Response Curves (FRCs) at fixed excitation amplitude and Amplitude Response Curves (ARCs) at fixed frequency are obtained in the frequency and amplitude domains respectively. It is found that, as the deformation of NiTi wire goes into the softening nonlinear phase transition region, the smooth and stable dynamic responses along one branch of FRC or ARC will gradually enter into metastable region and eventually become unstable and drastically switch to a new contrasting alternative stable state along the other branch. The jump phenomenon between the alternative stable states on the lower and upper branches of the FRC or ARC and the hysteresis between the jump-up and jump-down are identified in experiments. In addition, the effects of internal and external disturbance (both magnitude and direction) on triggering the jumps between the alternative stable states along the two metastable branches are examined in the time domain. The stability of the nonlinear dynamic response is analyzed by the Duffing oscillator model and interpreted via the stability landscape. For the first time, we directly reveal the alternative stable states and jump phenomena of thermomechanical responses by experiments in the frequency, amplitude and time domains. The results not only showed the important roles of phase transition nonlinearity in bringing multiple equilibrium states and their fast switches, but also provided a solid experimental base for the identification of metastable regions as well as further management of the undesired dynamic responses of vibration system where NiTi is used as a nonlinear damping spring.

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Nonlinear dynamics and chaos in a shape memory alloy pseudoelastic oscillator

Cited by 5 publications

References 16 publications

Force transmissibility characteristics of a pseudoelastic oscillator

Force transmissibility characteristics of a pseudoelastic oscillator

Equivalent linear stiffness and damping of a shape memory alloy bar operating at isothermal and non-isothermal condition

Thermomechanical responses of nonlinear torsional vibration with NiTi shape memory alloy – Alternative stable states and their jumps

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