In this paper, based on the partial differential governing equation of isotropic flat panel in classic supersonic flow, the viscoelastic structural damping is introduced into the equation by using Kelvin′s model.Dynamic instability behavior of a linear viscoelastic panel in supersonic flow is investigated.The quasi-steady piston theory of supersonic flow is employed under the aerodynamic pressure.The panel governing equation is transformed into a set of ordinary differential equations via the Galerkin approach.First-order state equations are then obtained and solved by means of a standard eigenvalue calculation.The dynamic instability of viscoelstic panels is predicted by the feature of characteristic roots.The phenomena of coupled-mode flutter without structural damping and single-mode flutter with structural damping induced by the supersonic flow are observed for the different dynamic pressure values.Results indicate that structural damping plays an important role in the stability of panels flutter.Sufficient damping can remarkably defer the flutter threshold.
YU Tian-jun, YANG Xiao-dong, ZHAO Wei-tao
. Flutter analysis of viscoelastic panels in supersonic flow[J]. Journal of Shenyang Aerospace University, 2013
, 30(5)
: 16
-20
.
DOI: 10.3969/j.issn.2095-1248.2013.05.004
[1]E.H.Dowell.Panel flutter:a review of the aeroelastic stability of plates and shells[J].AIAA Journal, 1970, 8(1):385-399.
[2]E.H.Dowell.Aeroelasticity of plates and shells[M].Noordhof:Leyden, 1975.
[3]Guo Yao, Feng-Ming Li.Chaotic motion of a composite laminated plate with geometric nonlinearity in subsonic flow[J].International Journal of Non-Linear Mechanics, 2013(50):81-90.
[4]Zhiguang Song, Fengming Li.Active aeroelastic flutter analysis and vibration control of supersonic composite laminated plate [J].Composite Structures, 2012(94):702-713.
[5]C.H.Ellen.Influence of structural damping on panel flutter[J].AIAA Journal, 1968, 6(11):2169-2174.
[6]I.Lottati.The role of damping on supersonic panel flutter[J].AIAA Journal, 1985, 23(10):1640-1642.
[7]N.Maher Bismarck-Nasr, Carlos Alberto Bones.Damping effects in nonlinear panel flutter [J].AIAA Journal, 2000, 38(4):711-713.
[8]S.H.Pourtakdoust, S.A.Fazelzadeh.Chaotic analysis of nonlinear viscoelastic panel flutter in supersonic flow[J].Nonlinear Dynamics, 2003(32):387-404.
