Stochastic flutter of multi-stable non-linear airfoil in turbulent flow
Ying Hao 1,2
More details
Hide details
School of Mechanical Engineering, Tianjin University, Tianjin, China
College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, China
Submission date: 2019-03-11
Acceptance date: 2019-08-20
Online publication date: 2020-01-15
Publication date: 2020-01-15
Journal of Theoretical and Applied Mechanics 2020;58(1):155-168
Stochastic airfoil flutter in an unsteady flow is discussed using the stochastic P-bifurcation method, taking into account potential effects of the longitudinal and vertical turbulent flow. The critical conditions of stochastic P-bifurcation are deduced by stochastic singularity analysis in order to discuss stochastic P-bifurcation phenomena. The results of parameter analysis show that as the turbulent intensity increases, the critical flutter velocity for sharp stochastic airfoil flutter decreases. And the large amplitude vibration comes earlier; an increase in the turbulent scale causes an earlier appearance of the critical velocity for large amplitude stochastic flutter.
Chassaing J.C., Lucor D., Trégon J., 2012, Stochastic nonlinear aeroelastic analysis of a supersonic lifting surface using an adaptive spectual method, Journal of Sound and Vibration, 331, 2, 394-411.
Hao Y. Wu Z.-Q., 2013, Stochastic P-bifurcation of tri-stable van der Pol-Duffing osciliator, Acta Mechanica Sinica, 45, 2, 257-265.
Huang Y., Fang C., Liu X., 2010, On stochastic dynamical behaviors of binary airfoil with nonlinear structure, Acta Aeronautica et Astronautica Sinica, 31, 10, 1946-1952.
Hao Y., Wu Z.-Q., 2018, Random flutter of multi-stable airfoils excited parametrically in steady flows, Journal of Mechanics, 35, 3, 419-426
Lee B.H.K., Price S.J., Wong Y.S., 1999, Nonlinear aeroelastic analysis of airfoils: bifurcation and chaos, Progress in Aerospace Sciences, 35, 3, 205-334.
Poirel D.C., Dunn S., Porter J., 2005, Flutter-margin method accounting for modal parameters uncertainties, Journal of Aircraft, 42, 5, 1236-1243.
Poirel D.C., Harris Y., Azémi B., 2006, Aeroelastic dynamics of a NACA 0012 airfoil in the transitional Reynolds number regime, Asme Pressure Vessels and Piping/icpvt-11 Conference.
Poirel D.C., Harris Y., Benaissa A., 2008, Self-sustained aeroelastic oscillations of a NACA0012 airfoil at low-to-moderate Reynolds numbers, Journal of Fluids and Structures, 24, 5, 700-719.
Poirel D.C., Mendes F., 2014, Experimental small-amplitude self-sustained pitch-heave oscillations at transitional Reynolds numbers, AIAA Journal, 52, 8, 1581-1590.
Poirel D.C., Price S.J., 1997, Post-instability behavior of a structurally nonlinear airfoil in longitudinal turbulence, Journal of Aircraft, 34, 5, 619-627.
Poirel D.C., Price S.J., 2001, Structurally nonlinear fluttering airfoil in turbulent flow, AIAA Journal, 39, 10, 1960-1968.
Poirel D.C., Price S.J., 2003a, Random binary (coalescence) flutter of a two-dimensional linear airfoil, Journal of Fluids and Structures, 18, 1, 23-42.
Poirel D.C., Price S.J., 2003b, Response probability structure of a structurally nonlinear fluttering airfoil in turbulent flow, Probabilistic Engineering Mechanics, 18, 2, 185-202.
Poirel D.C., Price S.J., 2007, Bifurcation characteristics of a two-dimensional structurally non-linear airfoil in turbulent flow, Nonlinear Dynamics, 48, 4, 423-435.
Poirel D.C., Yuan W., 2010, Aerodynamics of laminar separation flutter at a transitional Reynolds number, Journal of Fluids and Structures, 26, 7-8, 1174-1194.
Price S.J., Alighanbari H., Lee B.H.K., 2013, The aeroelastic response of a two-dimensional airfoil with bilinear and cubic structural nonlinearities, Journal of Fluids and Structures, 9, 2, 175-193.
Yuan W., Poirel D.C., Wang B., 2013, Simulations of pitch-heave limit-cycle oscillations at a transitional Reynolds number, AIAA Journal, 51, 7, 1716-1732.
Zhao D.M., Zhang Q.C., Tan Y., 2009, Random flutter of a 2-DOF nonlinear airfoil in pitch and plunge with freeplay in pitch, Nonlinear Dynamics, 58, 4, 643-654.
Zheng G.Y., 2007, Complicated Responses of Supersonic Flutter System with Structural Nonlinearities, Southwest Jiaotong University.
Journals System - logo
Scroll to top