[en] The present study aims to investigate the synchronization characteristics of a pitch–plunge aeroelastic system subjected to coupled structural free-play and dynamic stall-induced aerodynamic nonlinearities. The semi-empirical Leishman–Beddoes (LB) aerodynamic model is used to capture the dynamic stall phenomena at large angles-of-attack (AoA). A bifurcation analysis, considering the flow-speed as the control parameter, reveals that the free-play nonlinearity is primarily responsible for the dynamical transition in the presence of the attached flow. In this case, a pitch and plunge frequency coalescence takes place through an aperiodic to periodic signature transition. Furthermore, by tracking the flow specific variables estimated using the LB model, it is observed that the onset of the dynamic stall plays a pivotal role in the bifurcation scenario at high flow speed regimes, marking the presence of stall flutter. The framework of synchronization is used to discern the response dynamics at low speed and high speed flow regime by estimating the pitch and plunge modal frequencies and their corresponding phase components. The routes to synchronization are identified to be through phase-locking (frequency coalescence) and through suppression of the plunge mode by the dominance of pitching frequency in the regimes before and after the onset of dynamic stall, respectively. Finally, it is shown that the different synchronization routes can possibly be a useful tool to identify the presence of stall flutter oscillations in a coupled aeroelastic system.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Vishal, Sai; Shiv Nadar University, Greater Noida, India > Department of Mechanical Engineering
Raaj, Ashwad; Shiv Nadar University, Greater Noida, India > Department of Mechanical Engineering
Bose, Chandan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Jagadish, Venkatramani; Department of Mechanical Engineering > Shiv Nadar University, Greater Noida, India
Language :
English
Title :
Routes to Synchronization in a pitch–plunge aeroelastic system with coupled structural and aerodynamic nonlinearities
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
Fung, Y.C., An Introduction to the Theory of Aeroelasticity. 2008, Courier Dover Publications.
A. Hauenstein, R. Laurenson, W. Everman, G. Galecki, A. Amos, Chaotic response of aerosurfaces with structural nonlinearities (Status report), in: 31st Structures, Structural Dynamics and Materials Conference, 1992, pp. 1034.
Lee, B., Jiang, L., Wong, Y., Flutter of an airfoil with a cubic restoring force. J. Fluids Struct. 13:1 (1999), 75–101.
Fragiskatos, G., Non-Linear Response and Instabilities of a Two-Degree-Of-Freedom Airfoil Oscillating in Dynamic Stall. (Ph.D. thesis), 2000.
Bhat, S.S., Govardhan, R.N., Stall flutter of NACA 0012 airfoil at low Reynolds numbers. J. Fluids Struct. 41 (2013), 166–174.
Kalmár-Nagy, T., Csikja, R., Elgohary, T.A., Nonlinear analysis of a 2-DOF piecewise linear aeroelastic system. Nonlinear Dynam. 85:2 (2016), 739–750.
Bose, C., Gupta, S., Sarkar, S., Transition to chaos in the flow-induced vibration of a pitching–plunging airfoil at low Reynolds numbers: Ruelle–Takens–Newhouse scenario. Int. J. Non-Linear Mech. 109 (2019), 189–203.
Kumar, S.K., Sarkar, S., Gupta, S., Multiplicative noise induced intermittency in maps. Int. J. Non-Linear Mech., 117, 2019, 103251.
H. Alighanbari, Flutter Analysis and Chaotic Response of an Airfoil Accounting for Structural Nonlinearities (Ph.D. thesis).
Liu, L., Wong, Y., Lee, B., Non-linear aeroelastic analysis using the point transformation method, part 1: Freeplay model. J. Sound Vib. 253:2 (2002), 447–469.
Vasconcellos, R., Abdelkefi, A., Marques, F.D., Hajj, M.R., Representation and analysis of control surface freeplay nonlinearity. J. Fluids Struct. 31 (2012), 79–91.
Vasconcellos, R., Abdelkefi, A., Hajj, M.R., Marques, F.D., Grazing bifurcation in aeroelastic systems with freeplay nonlinearity. Commun. Nonlinear Sci. Numer. Simul. 19:5 (2014), 1611–1625.
Monfared, Z., Afsharnezhad, Z., Esfahani, J., Flutter, limit cycle oscillation, bifurcation and stability regions of an airfoil with discontinuous freeplay nonlinearity. Nonlinear Dynam. 90:3 (2017), 1965–1986.
McCroskey, W.J., Carr, L.W., McAlister, K.W., Dynamic stall experiments on oscillating airfoils. AIAA J. 14:1 (1976), 57–63.
Dimitriadis, G., Introduction to Nonlinear Aeroelasticity. 2017, John Wiley & Sons.
Chantharasenawong, C., Nonlinear Aeroelastic Behaviour of Aerofoils Under Dynamic Stall. (Ph.D. thesis), 2007, Imperial College London (University of London).
Galvanetto, U., Peiro, J., Chantharasenawong, C., An assessment of some effects of the nonsmoothness of the Leishman–Beddoes dynamic stall model on the nonlinear dynamics of a typical aerofoil section. J. Fluids Struct. 24:1 (2008), 151–163.
Dimitriadis, G., Li, J., Bifurcation behavior of airfoil undergoing stall flutter oscillations in low-speed wind tunnel. AIAA J. 47:11 (2009), 2577–2596.
dos Santos, C.R., Pereira, D.A., Marques, F.D., On limit cycle oscillations of typical aeroelastic section with different preset angles of incidence at low airspeeds. J. Fluids Struct. 74 (2017), 19–34.
Bethi, R.V., Gali, S.V., Venkatramani, J., Response analysis of a pitch–plunge airfoil with structural and aerodynamic nonlinearities subjected to randomly fluctuating flows. J. Fluids Struct., 92, 2020, 102820.
Goyaniuk, L., Poirel, D., Benaissa, A., Pitch–heave symmetric stall flutter of a NACA0012 at transitional Reynolds numbers. AIAA J. 58:8 (2020), 3286–3298.
Lee, B.H., Liu, L., Bifurcation analysis of airfoil in subsonic flow with coupled cubic restoring forces. J. Aircr. 43:3 (2006), 652–659.
Lelkes, J., Kalmár-Nagy, T., Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber. Nonlinear Dynam., 2020, 1–22.
Šidlof, P., Vlček, V., Štěpán, M., Experimental investigation of flow-induced vibration of a pitch–plunge NACA 0015 airfoil under deep dynamic stall. J. Fluids Struct. 67 (2016), 48–59.
Poirel, D., Goyaniuk, L., Benaissa, A., Frequency lock-in in pitch–heave stall flutter. J. Fluids Struct. 79 (2018), 14–25.
Pawar, S.A., Mondal, S., George, N.B., Sujith, R., Temporal and spatiotemporal analyses of synchronization transition in a swirl-stabilized combustor. AIAA J. 57:2 (2018), 836–847.
Mondal, S., Pawar, S.A., Sujith, R., Synchronization transition in a thermoacoustic system: Temporal and spatiotemporal analyses. Energy for Propulsion, 2018, Springer, 125–150.
Pawar, S.A., Seshadri, A., Unni, V.R., Sujith, R.I., Thermoacoustic instability as mutual synchronization between the acoustic field of the confinement and turbulent reactive flow. J. Fluid Mech. 827 (2017), 664–693.
Mondal, S., Pawar, S.A., Sujith, R.I., Synchronous behaviour of two interacting oscillatory systems undergoing quasiperiodic route to chaos. Chaos, 27(10), 2017, 103119.
Hachijo, T., Gotoda, H., Nishizawa, T., Kazawa, J., Early detection of cascade flutter in a model aircraft turbine using a methodology combining complex networks and synchronization. Phys. Rev. Appl., 14, 2020, 014093.
Liu, Q., Xu, Y., Kurths, J., Bistability and stochastic jumps in an airfoil system with viscoelastic material property and random fluctuations. Commun. Nonlinear Sci. Numer. Simul., 84, 2020, 105184.
Raaj, A., Venkatramani, J., Mondal, S., Synchronization of pitch and plunge motions during intermittency route to aeroelastic flutter. Chaos, 29(4), 2019, 043129.
Raaj, A., Mondal, S., Jagdish, V., Investigating amplitude death in a coupled nonlinear aeroelastic system. Int. J. Non-Linear Mech., 129, 2021, 103659.
Pikovsky, A., Rosenblum, M., Kurths, J., Synchronization: A Universal Concept in Nonlinear Sciences, vol. 12. 2003, Cambridge University Press.
Blekhman, I., Landa, P.S., Rosenblum, M.G., Synchronization and chaotization in interacting dynamical systems. Appl. Mech. Rev. 48:11 (1995), 733–752.
Boccaletti, S., Kurths, J., Osipov, G., Valladares, D., Zhou, C., The synchronization of chaotic systems. Phys. Rep. 366:1–2 (2002), 1–101.
Balanov, A., Janson, N., Postnov, D., Sosnovtseva, O., Synchronization: From Simple to Complex. 2008, Springer Science & Business Media.
Rosenblum, M., Pikovsky, A., Synchronization: from pendulum clocks to chaotic lasers and chemical oscillators. Contemp. Phys. 44:5 (2003), 401–416.
Godavarthi, V., Kasthuri, P., Mondal, S., Sujith, R.I., Marwan, N., Kurths, J., Synchronization transition from chaos to limit cycle oscillations when a locally coupled chaotic oscillator grid is coupled globally to another chaotic oscillator. Chaos, 30(3), 2020, 033121.
Mormann, F., Lehnertz, K., David, P., Elger, C.E., Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients. Physica D 144:3–4 (2000), 358–369.
Heagy, J.F., Carroll, T.L., Pecora, L.M., Synchronous chaos in coupled oscillator systems. Phys. Rev. E 50 (1994), 1874–1885.
Roy, R., Thornburg Jr, K.S., Experimental synchronization of chaotic lasers. Phys. Rev. Lett., 72(13), 1994, 2009.
Mondal, S., Unni, V.R., Sujith, R.I., Onset of thermoacoustic instability in turbulent combustors: an emergence of synchronized periodicity through formation of chimera-like states. J. Fluid Mech. 811 (2017), 659–681.
Weng, Y., Unni, V.R., Sujith, R., Saha, A., Synchronization framework for modeling transition to thermoacoustic instability in laminar combustors. Nonlinear Dynam., 2020, 1–12.
Venkatramani, J., Kumar, S.K., Sarkar, S., Gupta, S., Physical mechanism of intermittency route to aeroelastic flutter. J. Fluids Struct. 75 (2017), 9–26.
Venkatramani, J., Sarkar, S., Gupta, S., Intermittency in pitch-plunge aeroelastic systems explained through stochastic bifurcations. Nonlinear Dynam. 92:3 (2018), 1225–1241.
Leishman, J.G., Beddoes, T., A semi-empirical model for dynamic stall. J. Am. Helicopter Soc. 34:3 (1989), 3–17.
Devathi, H., Sarkar, S., Study of a stall induced dynamical system under gust using the probability density evolution technique. Comput. Struct. 162 (2016), 38–47.
J. Leishman, State-space model for unsteady airfoil behavior and dynamic stall, in: 30th Structures, Structural Dynamics and Materials Conference, 1989, p. 1319.
Leishman, J., Nguyen, K., State-space representation of unsteady airfoil behavior. AIAA J. 28:5 (1990), 836–844.
McAlister, K., Pucci, S., McCroskey, W., Carr, L., An Experimental Study of Dynamic Stall on Advanced Airfoil Sections. Volume 2. Pressure and Force Data.: Technical Report., 1982.
J. Leishman, T. Beddoes, A generalised model for airfoil unsteady aerodynamic behaviour and dynamic stall using the indicial method, in: Proceedings of the 42nd Annual Forum of the American Helicopter Society, Washington DC, 1986, pp. 243–265.
Panter, P.F., Modulation, Noise and Spectral Analysis: Applied to Information Transmission. 1965, McGraw-Hill.
Hodges, D.H., Pierce, G.A., Introduction to Structural Dynamics and Aeroelasticity. 2011, Cambridge University Press.
Venkatramani, J., Nair, V., Sujith, R., Gupta, S., Sarkar, S., Precursors to flutter instability by an intermittency route: a model free approach. J. Fluids Struct. 61 (2016), 376–391.
Venkatramani, J., Sarkar, S., Gupta, S., Investigations on precursor measures for aeroelastic flutter. J. Sound Vib. 419 (2018), 318–336.
Nayfeh, A.H., Balachandran, B., Modal interactions in dynamical and structural systems. ASME Appl. Mech. Rev. 42 (1989), 175–201.
Similar publications
Sorry the service is unavailable at the moment. Please try again later.
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.
