Effects of Shape Memory Alloys and Carbon Nanotubes on the Nonlinear Aerothermal Flutter Characteristics of Hybrid Nanocomposite Beam

Document Type : Research Article

Authors

1 Mechanical Engineering, Assistant Professor, Malayer,Iran

2 Mechanical Engineering,MAlayer university,Malayer

3 Mechanical Engineering, Malayer University,Malayer

Abstract

 In this study, the effect of aerodynamic and thermal forces on the flutter stability of an epoxy / fiber-based hybrid nanocomposite beam containing shape memory alloy wires and reinforced by functionally graduated distribution of carbon nanotubes are investigated. Carbon nanotubes help to increase the stiffness of the nanocomposite beam, and the shape memory alloys will increase the flutter stability boundaries by inducing tensile stress in the beam due to the increase in temperature and the aerodynamic pressure. In this study, the Brinson model is supposed to present the properties of shape memory alloy wires, also, the Euler-Bernoulli beam model is assumed to be in line with van-Karmen nonlinear strains. The boundaries of buckling stability and aerothermodynamics flutter have been investigated by studying the natural frequencies of the hybrid nanocomposite beam and the thermal bifurcation points. The primary objective of this study is to examine the impact of carbon nanotubes and shape memory alloy wire on improving the behavior of a composite beam flutter under the effect of airflow and temperature increase, simultaneously. The results showed that applying these two advanced reinforcing materials has a significant impact on increasing the static and dynamic stabilities of hybrid nanocomposite beams in the thermo-aerodynamic environment.

Keywords

Main Subjects


[1] D.C. Lagoudas, Shape memory alloys: modeling and engineering applications, Springer Science & Business Media, (2008).
[2] Z.C. Feng, D.Z. Li, Dynamics of a mechanical system with a shape memory alloy bar, Journal of Intelligent Materials Systems and Structures, 7 (4) (1996) 399-410.
[3] D. Bernardini, G. Rega, Thermomechanical modelling, nonlinear dynamics and chaos in shape memory oscillators, Mathematical and Computer Modelling of Dynamical Systems, 11 (3) (2005) 291-314.
[4] M.A. Savi, P. Pacheco, Chaos and hyperchaos in shape memory systems, International Journal of Bifurcation and Chaos, 12 (3) (2002) 645-657.
[5] L.G. Machado, M.A. Savi, P.M. Pacheco, Nonlinear dynamics and chaos in coupled shape memory oscillators, International Journal of Solids and Structures, 40 (19) (2003) 5139-5156.
[6] D. Lagoudas, L. Machado, M. Lagoudas, Nonlinear vibration of a one-degree of freedom shape memory alloy oscillator: a numerical-experimental investigation, In 46th AIAA/ASME/ASCE /ASC Structures, Structural Dynamics and Materials Conference, (2005) 2119.
[7] X.Y. Tsai, L.W. Chen, Dynamic stability of a shape memory alloy wire reinforced composite beam, Composite Structures, 56 (3) (2002) 235-241.
[8] S.M.R. Khalili, M.B. Dehkordi, E. Carrera, A nonlinear finite element model using a unified formulation for dynamic analysis of multilayer composite plate embedded with SMA wires, Composite Structures, 106 (2013) 635-645.
[9] S.M.T. Hashemi, S.E. Khadem, Modeling and analysis of the vibration behavior of a shape memory alloy beam, International Journal of Mechanical Sciences, 48 (1) (2006) 44-52.
[10] A.R. Damanpack, M. Bodaghi, M.M. Aghdam, M. Shakeri, On the vibration control capability of shape memory alloy composite beams, Composite Structures, 110 (2014) 325-334.
[11] M. Samadpour, H. Asadi, Q. Wang, Nonlinear aero-thermal flutter postponement of supersonic laminated composite beams with shape memory alloys, European Journal of Mechanics, 57 (2016) 18-28.
[12] H. Asadi, A.R. Beheshti, On the nonlinear dynamic responses of FG-CNTRC beams exposed to aerothermal loads using third-order piston theory, Acta Mechanica, 229 (6) (2018) 2413-2430.
[13] H. Lin, C. Shao, D. Cao, Nonlinear flutter and random response of composite panel embedded in shape memory alloy in thermal-aero-acoustic coupled field, Aerospace Science and Technology, 100 (2020) 105785.
[14] A. Rostamijavanani, M.R. Ebrahimi, S. Jahedi, Thermal post-buckling analysis of laminated composite plates embedded with shape memory alloy fibers using semi-analytical finite strip method, Journal of Failure Analysis and Prevention, 21 (1) (2021) 290-301.
[15] A. Kumar, K. Sharma, A.R. Dixit, Carbon nanotube-and graphene-reinforced multiphase polymeric composites: review on their properties and applications, Journal of Materials Science, 55 (7) (2020) 2682-2724.
[16] M.F.L. De Volder, S.H. Tawfick, R.H. Baughman, A.J. Hart, Carbon nanotubes: present and future commercial applications, Science, 339 (6119) (2013) 535-539.
[17] C. Wang, Y. Xu, J. Du, Study on the thermal buckling and post-buckling of metallic sub-stiffening structure and its optimization, Materials and Structures, 49 (11) (2016) 4867-4879.
[18] K. Mehar, P.K. Mishra, S.K. Panda, Numerical investigation of thermal frequency responses of graded hybrid smart nanocomposite (CNT-SMA-Epoxy) structure, Mechanics of Advanced Materials and Structures, 1 (2020) 1–13.
[19] K. Mehar, P.K. Mishra, S.K. Panda, Thermal buckling strength of smart nanotube-reinforced doubly curved hybrid composite panels, Computers & Mathematics with Applications, 90 (2021) 13-24.
[20] S. Kamarian, M. Bodaghi, R.B. Isfahani, M. Shakeri, M.H. Yas, Influence of carbon nanotubes on thermal expansion coefficient and thermal buckling of polymer composite plates: Experimental and numerical investigations, Mechanics Based Design of Structures and Machines, 49 (2) (2021) 217-232.
[21] S. Kamarian, M. Bodaghi, R.B. Isfahani, J. Song, A comparison between the effects of shape memory alloys and carbon nanotubes on the thermal buckling of laminated composite beams, Mechanics Based Design of Structures and Machines, 1 (2020) 1-24.
[22] L.C. Brinson, M.S. Huang, Simplifications and comparisons of shape memory alloy constitutive models, Journal of Intelligent Materials Systems and Structures, 7 (1) (1996) 108-114.
[23] D. Qian, E.C. Dickey, R. Andrews, T. Rantell, Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites, Applied Physics Letters, 76 (20) (2000) 2868-2870.
[24] J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, CRC press, (2003).
[25] R.L. Bisplinghoff, H. Ashley, Principles of aeroelasticity. Courier Corporation, (2013).
[26] M.H. Yas, N. Samadi, Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation, International Journal of Pressure Vessels and Piping, 98 (2012) 119-128.
[27] L.L. Ke, J. Yang, S. Kitipornchai, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams, Composite Structures, 92 (3) (2010) 676-683.