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Mathematical Model of a Shape Memory Alloy Spring Intended for Vibration Reduction Systems

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Abstract:

The article discusses a prototype of a Shape Memory Alloy (SMA) spring intended for controlled vibration reduction systems. The spring has been subject to experiments and the article presents selected static and dynamic characteristics. The experiments were conducted at the Dynamics and Control of Structures Laboratory of the AGH University of Science and Technology. They permitted the formulation of a mathematical model for the SMA spring. The model takes into account the phenomena of energy accumulation and dissipation. The parameters of the spring model have been determined, based on the experimental data. The model takes into account the relationship of stiffness and damping to alloy temperature and the frequency of excitation. It has been demonstrated that the properties of the spring may be altered under controlled conditions. The spring model was then used in simulations. They served as the basis for the determination of the frequency response characteristics, which were then compared to the characteristics of a real spring. The mathematical model developed may be applied in the design of passive, semi-active, and active vibration reduction systems, as well as in the synthesis of adaptive smart vibration reduction systems.

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Periodical:

Solid State Phenomena (Volume 177)

Pages:

65-75

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.177.65

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Online since:

July 2011

Authors:

Waldemar Rączka, Jarosław Konieczny, Marek Sibielak

Keywords:

Damping, Identification, Modeling, Shape Memory Alloy Actuator, SMA, Vibration

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] J. Enyu, Z. Xiaojin, S. Yong and W. Zhengliang: Active Vibration Control of Smart Structure Based on Alternate Driving SMA Actuators App. Mech. and Materials 39 (2011) pp.61-66.

DOI: 10.4028/www.scientific.net/amm.39.61

Google Scholar

[2] J. Kowal, J. Pluta, J. Konieczny, A. Kot: Energy recovering in active vibration isolation system – results of experimental research J. of Vibration and Control vol. 14 no. 7 (2008) p.1075–1088.

DOI: 10.1177/1077546308088980

Google Scholar

[3] W. Rączka, M. Sibielak, J. Konieczny: Smart vibration isolation systems with shape memory alloy proceedings of 7th International Carpathian Control Conference Czech Republic (2006).

Google Scholar

[4] J. Konieczny, W. Rączka, M. Sibielak: Experimental investigation of the semi-active vibration isolation system proceedings of 9th Conference on Active noise and vibration control methods Kraków–Zakopane, Poland, May 24–27, (2009).

Google Scholar

[5] W. Rączka: Laboratory tests of smart vibration isolation system Hydraulika a Pneumatika 7 (2005)p.3–4.

Google Scholar

[6] W. Rączka: Testing of a spring with controllable stiffness. proceedings of 9th International Carpathian Control Conference Romania, May 25–28, (2008) p.543–546.

Google Scholar

[7] J. Konieczny: Modelling of the electrohydraulic full active vehicle suspension Engineering Transactions vol. 56 iss. 3 (2008) p.247–268.

Google Scholar

[8] K. Otsuka, C.M. Wayman: Shape Memory Materials, Cambridge, (1998).

Google Scholar

[9] Yong-HuaLi, Shu-Wei Liu, Hai-Chang Jiang, Yong Wang, Zi-Yu Deng, Yu-Hai Li, Cheng-Zhi Wang: Analysis of the internal friction spectrum of TiNiCu alloy Journal of Alloys and Compounds 430 (2007) p.149–152.

DOI: 10.1016/j.jallcom.2006.04.069

Google Scholar

[10] A. Mielczarek, Y. Wöckel, W. Riehemann: Effect of cold rolling on the damping of as cast Cu – Al - Mn shape memory alloys Solid State Phenomena Vol. 137 (2008) pp.155-162.

DOI: 10.4028/www.scientific.net/ssp.137.155

Google Scholar

[11] W. Rączka: Controlled SMA spring in Frahm's vibration absorber. Mechanics 22 AGH University of Science and Technology (2003).

Google Scholar

[12] C.M. Friend, C.R.D. Mattey: Active strain-energy tuning of low actuator-fraction shape-memory alloy (SMA) hybrid composites Mat. Sci. and Engineer. A273–275 (1999) p.799–803.

DOI: 10.1016/s0921-5093(99)00419-0

Google Scholar

[13] Y.S. Dong, J.L. Xiong, A.Q. Li, P.H. Lin: A passive damping device with TiNi shape memory alloy rings and its properties Materials Sci. and Engineering A 416 (2006) p.92–97.

DOI: 10.1016/j.msea.2005.09.079

Google Scholar

[14] J. Kwaśniewski, W. Rączka, I. Dominik: Using fiber to generate signals of acoustic frequencies proceedings 8th conference on Active Noise and Vibration Control Methods, Poland (2007).

Google Scholar

[15] O. E. Ozbulut, S. Hurlebaus: Evaluation of the performance of a sliding-type base isolation system with a NiTi shape memory alloy device considering temperature effects Engineering Structures 32 (2010) pp.238-249.

DOI: 10.1016/j.engstruct.2009.09.010

Google Scholar

[16] O. E. Ozbulut, S. Hurlebaus: A temperature- and strain-rate-dependent model of NiTi shape memory alloys for seismic control of bridges In: Sensors and smart structures technologies for civil, mechanical, and aerospace systems. Proceedings of SPIE (2009).

DOI: 10.1117/12.815637

Google Scholar

[17] I. Mayergoyz: Mathematical models of hysteresis New York: Springer-Verlag (1991).

Google Scholar

[18] R. B. Gorbet, D. W. L. Wang, K. A. Morris: Preisach model identification of a two-wire SMA actuator proceedings of the IEEE International Conference on Robotics and Automation. Leuben, Belgium(1998) p.2161–2167.

DOI: 10.1109/robot.1998.680641

Google Scholar

[19] S. Dobson, M. Noori, Z. Hou, M. Dimentberg, T. Baber: Modeling and random vibration analysis of SDOF systems with asymmetric hysteresis J. Non-Linear Mechanics Vol 32, No. 4, (1997) pp.669-680.

DOI: 10.1016/s0020-7462(96)00090-x

Google Scholar

[20] H. Ma, M.C.H. Yam: Modelling of a self-centring damper and its application in structural control Journal of Constructional Steel Research 67 (2011) p.656–666.

DOI: 10.1016/j.jcsr.2010.11.014

Google Scholar

[21] F. Casciati, K. Hamdaoui: Modelling the uncertainty in the response of a base isolator. Probabilistic Engineering Mechanics 23 (2008)p.427–437.

DOI: 10.1016/j.probengmech.2007.10.014

Google Scholar

[22] J. Konieczny, J. Kowal, J. Pluta, A. Podsiadło: Laboratory research of the controllable hydraulic damper Engineering Transactions vol. 54 iss. 3 (2006) p.203–221.

Google Scholar

[23] M. Sibielak: Model of hysteresis of piezoelectric actuator proceedings of 9th International Carpathian Control Conference Romania, May 25–28, (2008) p.611–614.

Google Scholar

[24] M. Sibielak: Optimal control smart systems proceedings of 8th Conference on Active noise and vibration control methods Kraków–Krasiczyn, Poland, June 11–14, 2007 p.52–53.

Google Scholar

[25] W. Rączka, M. Sibielak: SMA linear actuator – testing and modeling proceedings of SolMech 35th Solid Mechanics Conference Kraków, September 4–8, 2006 p.345–346.

Google Scholar