This work investigates the effectiveness of a shape-memory alloy (SMA) in controlling the instabilities of triangular composite plates under supersonic flow. Lagoudas’ quadratic polynomial hardening theory models the SMA effect. First-order piston theory was used for the aerodynamic modeling, and the reference-temperature method was used for modeling the thermal heating. The buckling and post-buckling behaviors were studied for different boundary conditions with four different layups. In addition, buckling and post-buckling of the composite plate, with and without shape memory alloy wire, has been studied. The effect of SMA wire on aeroelastic instabilities is accurately studied. The embedded SMA wire significantly increased the stability region (postpone divergence and flutter velocities) and buckling temperature. Also, the time responses of the triangular composite plate are determined at different Mach numbers, showing that by increasing the Mach number, the SMA wire can control or decrease the vibration amplitudes.
AndersonJD (2006) Hypersonic and High-Temperature Gas Dynamics, 2nd edn. Washington, DC: American Institute of Aeronautics and Astronautics.
2.
AsadiHBodaghiMShakeriM, et al. (2013a) An analytical approach for nonlinear vibration and thermal stability of shape memory alloy hybrid laminated composite beams. European Journal of Mechanics-A/Solids42: 454–468.
3.
AsadiHBodaghiMShakeriM, et al. (2013b) On the free vibration of thermally pre/post-buckled shear deformable SMA hybrid composite beams. Aerospace Science and Technology31: 73–86.
4.
AsadiHKianiYShakeriM, et al. (2014) Exact solution for nonlinear thermal stability of hybrid laminated composite Timoshenko beams reinforced with SMA fibers. Composite Structures108: 811–822.
5.
BaitabDMMajidDLAbdullahEJ, et al. (2022) Flutter performance of shape memory alloy-embedded 3D woven flexible composite plate under subsonic flow. Journal of Industrial Textiles51(3_suppl): 4290S–4328S.
6.
BarzegariMMDardelMFathiA, et al. (2012) Aeroelastic characteristics of cantilever wing with embedded shape memory alloys. Acta Astronautica79: 189–202.
7.
BayatYEkhteraei ToussiH (2017) Exact solution of thermal buckling and post buckling of composite and SMA hybrid composite beam by layerwise theory. Aerospace Science and Technology67: 484–494.
8.
BayatYEkhteraei ToussiH (2020) Analytical layerwise solution of nonlinear thermal instability of SMA hybrid composite beam under nonuniform temperature condition. Mechanics of Advanced Materials and Structures27(19): 1673–1686.
9.
BirmanV (1997) Stability of functionally graded shape memory alloy sandwich panels. Smart Materials and Structures6: 278–286.
10.
BrinsonLC (1993) One-dimensional constitutive behavior of shape memory alloys: Thermomechanical derivation with non-constant material functions and redefined martensite internal variable. Journal of Intelligent Material Systems and Structures4: 229–242.
11.
DonadonMVde FariaAR (2016) Aeroelastic behavior of composite laminated shells with embedded SMA wires under supersonic flow. Aerospace Science and Technology52: 157–166.
12.
EckertERG (1956) Engineering relations for heat transfer and friction in high-velocity laminar and turbulent boundary-layer flow over surfaces with constant pressure and temperature. Transactions of the American Society of Mechanical Engineers78(6): 1273.
13.
EugeniMDowellEHMastroddiF (2014) Post-buckling longterm dynamics of a forced nonlinear beam: A perturbation approach. Journal of Sound and Vibration333(9): 2617–2631.
14.
FarsadiTRahmanianMKurtaranaH (2021) Nonlinear analysis of functionally graded skewed and tapered wing-like plates including porosities: A bifurcation study. Thin-Walled Structures160: 107341.
15.
GuoXMeiC (2003) Using aeroelastic modes for nonlinear panel flutter at arbitrary supersonic yawed angle. AIAA Journal41(2): 272–279.
HoMTChenRChuLC (1997) Experimental study for thermal post-buckling of isotropic and composite panels with embedded shape memory alloy. Proceedings of the SPIE3041: 901–911.
18.
JuniorODDMDonadonMVCastroSG (2017) Aeroelastic behavior of stiffened composite laminated panel with embedded SMA wire using the hierarchical Rayleigh–Ritz method. Composite Structures181: 26–45.
19.
KabirM-ZTatous TehraniB (2017) Closed-form solution for thermal, mechanical, and thermo-mechanical buckling and post-buckling of SMA composite plates. Composite Structures168: 535–548.
20.
KhaliliSMRDehkordiMBShariyatM (2013) Modeling and transient dynamic analysis of pseudoelastic SMA hybrid composite beam. Applied Mathematics and Computation219: 9762–9782.
21.
LagoudasDC (2008) Shape Memory Alloys: Modeling and Engineering Applications. New York, NY: Springer Science+Business Media, LLC.
22.
LagoudasDCShuSG (1999) Residual deformation of active structures with SMA actuators. International Journal of Mechanical Sciences41: 595–619.
23.
LeeHJLeeJJ (2000) A numerical analysis of the buckling and post buckling behavior of laminated composite shell with embedded shape memory alloy wire actuators. Smart Materials and Structures9: 780–787.
24.
LiangCRogersCA (1990) One-dimensional thermomechanical constitutive relations for shape memory materials. Journal of Intelligent Material System and Structures1(2): 207–234.
25.
LibrescuLMaalawiKY (2009) Aeroelastic design optimization of thin-walled subsonic wings against divergence. Thin-Walled Structures47(1): 89–97.
26.
LighthillM (1953) Oscillating airfoils at high mach number. Journal of the Aeronautical Sciences20: 402–406.
27.
LinHShaoCCaoD (2020) Nonlinear flutter and random response of composite panel embedded in shape memory alloy in thermal-aero-acoustic coupled field. Aerospace Science and Technology100: 105785.
28.
LiuLDowellEH (2005) Harmonic balance approach for an airfoil with a freeplay control surface. AIAA Journal43(4): 802–815.
29.
MirzavandBPourmohammadH (2019) Post-buckling analysis of non-uniformly heated functionally graded cylindrical shells enhanced by shape memory alloys using classical lamination theory. Journal of Intelligent Material Systems and Structures30(16): 2421–2435.
30.
MozafareiyanSSRezaeepazhandJ (2023) Aero-thermo-elastic analysis of nonlinear isotropic cracked plate in supersonic flow. Mechanics Based Design of Structures and Machines51(1): 518–539.
31.
MüllerI (1979) A model for a body with shape-memory. Archive for Rational Mechanics and Analysis70(1): 61–77.
32.
OstachowiczWMKaczmarczykS (2001) Vibration of composite plates with SMA fibers in a gas stream with defects of type of delaminations. Composite Structures54: 305–311.
33.
OstachowiczWMKrawczukMZakA (2000) Dynamics and buckling of multilayer composite plates with embedded SMA weirs. Composite Structures48: 163–167.
34.
PandaSKSinghBN (2013) Nonlinear finite element analysis of thermal post-buckling vibration of laminated composite shell panel embedded with SMA fibre. Aerospace Science and Technology29: 47–57.
35.
RazavilarRFathiADardelM, et al. (2018) Dynamic analysis of a shape memory alloy beam with pseudoelastic behavior. Journal of Intelligent Material Systems and Structures29(9): 1835–1849.
36.
ReddyJN (2003) Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. Boca Raton, FL: CRC Press.
37.
RogersCABarkerDK (1990) Experimental studies of active strain energy tuning of adaptive composites. In: Proceedings of the AIAA/ASME/ASCE/AHS/ASC 31st structures, structural dynamics, and materials conference, Long Beach, CA, 2–4 April.
38.
RohJHOhIKYangSM, et al. (2004) Thermal post-buckling analysis of shape memory alloy hybrid composite shell panels. Smart Materials and Structures13: 1337–1344.
39.
RubesinMWJohnsonHA (1949) A critical review of skin-friction and heat-transfer solutions of the laminar boundary layer of a flat plate. Transactions of the American Society of Mechanical Engineers71: 383–388.
40.
ShenH-SXiangYFanY (2019) Nonlinear vibration of thermally postbuckled FG-GRC laminated beams resting on elastic foundations. International Journal of Structural Stability and Dynamics19(6): 1950051.
41.
SwainPKTiwariPMaitiDK, et al. (2022) Active flutter control of delaminated composite plate using active fiber composite patches. Thin-Walled Structures172: 108856.
42.
TanakaKIwasakiR (1985) A phenomenological theory of transformation superpelasticity. Engineering Fracture Mechanics21(4): 709–720.
43.
TawfikMTRoJJMeiC (2002) Thermal post-buckling and aeroelastic behavior of shape memory alloy reinforced plates. Smart Materials and Structures11: 297–307.
44.
TianWYangZGuY, et al. (2017) Analysis of nonlinear aeroelastic characteristics of a trapezoidal wing in hypersonic flow. Nonlinear Dynamics89(2): 1205–1232.
45.
VisaIMoldovanMDutaA (2019) Novel triangle flat plate solar thermal collector for facades integration. Renewable Energy143: 252–262.
46.
XueDY (1991) Finite element frequency domain solution of nonlinear plate flutter with temperature effects and fatigue life analysis. PhD Dissertation, Old Dominion University, Norfolk, VA.
47.
ZhangKHayostekSAmitayM, et al. (2020) Laminar separated flows over finite-aspect-ratio swept wings. Journal of Fluid Mechanics905: R1.
48.
ZhouJXuMZhangZ, et al. (2022) Vibration and aeroelastic stability analysis of hexagonal honeycomb core sandwich panels in supersonic airflow. Thin-Walled Structures180: 109746.
