Browse > Article
http://dx.doi.org/10.12989/sss.2021.27.6.991

Analytical model of shape memory alloy embedded smart beam, under actuated condition  

Veeraragu, Jagadeesh (Department of Mechanical Engineering, PSG college of Technology)
Mani, Yuvaraja (Department of Mechanical Engineering, PSG college of Technology)
Janakiraman, M. (Department of Mechanical Engineering, PSG college of Technology)
Publication Information
Smart Structures and Systems / v.27, no.6, 2021 , pp. 991-999 More about this Journal
Abstract
Vibration characteristics of actuated Shape Memory Alloy (SMA) embedded smart composite beam are studied and it is extended to reduce the impact of resonance in cantilever beams. Smart composite beam with SMA embedded at neutral layer is studied for its vibrational characteristics under martensite and austenite conditions. The smart beam is developed as a analytical model incorporating the change in Young's modulus and damping factor under martensite and austenite conditions of SMA. The variation of natural frequency and damping are evaluated and verified with experimentation at different volume fraction of SMA. The thermo elastic nature of SMA and GFRP incorporated in the numerical model depicts the shift in natural frequency of 10% and reduction in magnification factor of 50% under actuation conditions. The frequency response of the smart beam depicts the capability of SMA in active vibration control and improvement of the structural health of composite beam. The thermo mechanical analytical model derived can be utilized to optimize the volume fraction of SMA to be embedded. The study can be extended to optimize actuation current to minimize the effect of resonance.
Keywords
structural health; smart beam; vibration control; actuation; analytical model; Shape Memory Alloy (SMA);
Citations & Related Records
연도 인용수 순위
  • Reference
1 Lau, K.T. (2002), "Vibration characteristics of SMA composite beams with different boundary conditions", Mater. Des., 23(8), 741-749. https://doi.org/10.1016/S0261-3069(02)00069-9   DOI
2 Lau, K.T., Zhou, L.M. and Tao, X.M. (2002), "Control of natural frequencies of a clamped-clamped composite beam with embedded shape memory alloy wires", Compos. Struct., 58, 39-47. https://doi.org/10.1016/S0263-8223(02)00042-9   DOI
3 Lee, J.W., Han, J.H., Shin, H.K. and Bang, H.J. (2014), "Active load control of wind turbine blade section with trailing edge flap: Wind tunnel testing", J. Intell. Mater. Syst. Struct., 25(18), 2246-2255. https://doi.org/10.1177/1045389X14544143   DOI
4 Lin, Y.J., Lee, T., Choi, B. and Saravanos, D. (1999), "An application of smart-structure technology to rotor blade tip vibration control", J. Vib. Control, 5(4), 639-658. https://doi.org/10.1177/107754639900500408   DOI
5 Gupta, K., Sawhney, S., Jain, S.K. and Darpe, A.K. (2003), "Stiffness characteristics of fibre-reinforced composite shaft embedded with shape memory alloy wires", Defence Sci. J., 53(2), 167-173.   DOI
6 Ma, Y., Wang, M., Yang, X., Zhang, D. and Hong, J. (2016), "Experimental investigation on the vibration tuning of a beam with shape memory alloy", Proceedings of Turbo Expo: Power for Land, Sea, and Air, August, pp. 1-7. https://doi.org/10.1115/GT2015-42262   DOI
7 Mani, Y., Veeraragu, J., Sangameshwar, S. and Rangaswamy, R. (2020), "Dynamic behavior of smart material embedded wind turbine blade under actuated condition", Wind Struct., Int. J., 30(2), 211-217. https://doi.org/10.12989/was.2020.30.2.211   DOI
8 Qiu, Z.C. (2014), "Experiments on vibration suppression for a piezoelectric flexible cantilever plate using nonlinear controllers", J. Intell. Mater. Syst. Struct., 21(2), 300-319. https://doi.org/10.1177/1077546313487762   DOI
9 Lu, X., Li, G., Liu, L., Zhu, X. and Tu, S.T. (2017), "Effect of ambient temperature on compressibility and recovery of NiTi shape memory alloys as static seals", Adv. Mech. Eng., 9(2), 1-9. https://doi.org/10.1177/1687814017692287   DOI
10 Williams, K.A., Chiu, G.C. and Bernhard, R.J. (2005), "Dynamic modelling of a shape memory alloy adaptive tuned vibration absorber", J. Sound Vib., 280(1-2), 211-234. https://doi.org/10.1016/j.jsv.2003.12.040   DOI
11 Yuvaraja, M. and Kumar, M.S. (2012), "Experimental studies on SMA spring based dynamic vibration absorber for active vibration control", Eur. J. Sci. Res., 77(2), 240-251.
12 Vasundhara, M.G., Senthilkumar, M. and Kalavathi, G.K. (2019), "A distributed parametric model of Brinson shape memory alloy based resonant frequency tunable cantilevered PZT energy harvester", Int. J. Mech. Mater. Des., 15(3), 555-568. https://doi.org/10.1007/s10999-018-9429-2   DOI
13 Seelecke, S. and Muller, I. (2004), "Shape memory alloy actuators in smart structures: Modeling and simulation", Appl. Mech. Rev., 57(1), 23. https://doi.org/10.1115/1.1584064   DOI
14 Simonovic, A.M., Jovanovic, M.M., Lukic, N.S., Zoric, N.D., Stupar, S.N. and Ilic, S.S. (2016), "Experimental studies on active vibration control of smart plate using a modified PID controller with optimal orientation of piezoelectric actuator", J. Vib. Control, 22(11), 2619-2631. https://doi.org/10.1177/1077546314549037   DOI
15 Tang, A.Y., Li, X.F., Wu, J.X. and Lee, K.Y. (2015), "Flapwise bending vibration of rotating tapered Rayleigh cantilever beams", J. Constr. Steel Res., 112, 1-9. https://doi.org/10.1016/j.jcsr.2015.04.010   DOI
16 Wang, B., Wang, Z. and Zuo, X. (2017a), "Frequency equation of flexural vibrating cantilever beam considering the rotary inertial moment of an attached mass", Mathe. Probl. Eng. https://doi.org/10.1155/2017/1568019   DOI
17 Wang, Z., Qiao, P. and Shi, B. (2017b), "A comprehensive study on active Lamb wave-based damage identification for plate-type structures", Smart Struct. Syst., Int. J., 20(6), 759-767. https://doi.org/10.12989/sss.2017.20.6.759   DOI
18 Wieseman, C.D. (1988), NASA Technical Memorandum Methodology For Matching Experimental And Computational Aerodynamic Data, Langley Research Center.
19 Shu, S.G., Lagoudas, D.C., Hughes, D. and Wen, J.T. (1997), "Modeling of a flexible beam actuated by shape memory alloy wires", Smart Mater. Struct., 6(3), 265. https://doi.org/10.1088/0964-1726/6/3/005   DOI
20 Jagadeesh, V., Yuvaraja, M., Chandhru, A. and Viswanathan, P. (2018), "Investigations on Vibration Characteristics of Sma Embedded Horizontal Axis Wind Turbine Blade", IOP Conference Series: Materials Science and Engineering, Vol. 310, No. 1, p. 012067, Bengaluru, India, August. https://doi.org/10.1088/1757-899X/310/1/012067   DOI
21 Mouleeswaran, S.K., Mani, Y., Keerthivasan, P. and Veeraragu, J. (2018), "Vibration control of small horizontal axis wind turbine blade with shape memory alloy", Smart Struct. Syst., Int. J., 21(3), 257-262. https://doi.org/10.12989/sss.2018.21.3.257   DOI
22 Donmez, B., Ozkan, B. and Kadioglu, F.S. (2010), "Precise position control using shape memory alloy wires", Turk J. Electric. Eng. Comput. Sci., 18(5), 899-912.
23 Ni, Q.Q., Zhang, R.X., Natsuki, T. and Iwamoto, M. (2007), "Stiffness and vibration characteristics of SMA/ER3 composites with shape memory alloy short fibers", Compos. Struct., 79(4), 501-507. https://doi.org/10.1016/j.compstruct.2006.02.009   DOI
24 Bayat, M., Pakar, I., Ahmadi, H.R., Cao, M. and Alavi, A.H. (2020), "Structural health monitoring through nonlinear frequency-based approaches for conservative vibratory systems", Struct. Eng. Mech., Int. J., 73(3), 331-337. https://doi.org/10.12989/sem.2020.73.3.331   DOI
25 Bhargaw, H.N., Ahmed, M. and Sinha, P. (2013), "Thermo-electric behaviour of NiTi shape memory alloy", Transact. Nonferrous Metals Soc. China, 23(8), 2329-2335. https://doi.org/10.1016/S1003-6326(13)62737-5   DOI
26 Guo, Z.S., Feng, J., Wang, H., Hu, H. and Zhang, J. (2013), "A new temperature-dependent modulus model of glass/epoxy composite at elevated temperatures", J. Compos. Mater., 47(26), 3303-3310. https://doi.org/10.1177/0021998312464080   DOI
27 Han, Y.-L. (2005), "NiTi-wire shape memory alloy dampers to simultaneously damp tension, compression, and torsion", J. Vib. Control, 11(8), 1067-1084. https://doi.org/10.1177/1077546305055773   DOI
28 Khot, S.M., Yelve, N.P., Tomar, R., Desai, S. and Vittal, S. (2012), "Active vibration control of cantilever beam by using PID based output feedback controller", J. Vib. Control, 18(3), 366-372. https://doi.org/10.1177/1077546311406307   DOI