Structural Uncertainty Effect on Classical Wing Flutter Characteristics

Flutter-critical velocity is usually estimated from deterministic analyses by assuming that physical and geometrical parameters are perfectly known. However, aleatory and epistemic uncertainties, especially those associated with the definition of material properties, are intrinsically present partly because of the random nature of every physical system and partly because those properties are evaluated from a finite number of observations. The paper focuses on the combination of structural reliability analysis with aeroelastic simulation to give a correct flutter speed evaluation for design purposes. Two typical aeronautical test cases have been considered: (1) an isotropic material structure and (2) a composite material structure. Different computational methodologies (classical and developed by authors) have been coupled with a simple two-dimensional aeroelastic model to study the qualitative consequences of uncertainty in determination of critical flutter speed and to provide a comparison between differ...

[1]  R. Rackwitz,et al.  Structural reliability under combined random load sequences , 1978 .

[2]  Zhao Lei,et al.  Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation , 2000 .

[3]  Cv Clemens Verhoosel,et al.  Uncertainty and Reliability Analysis of Fluid-Structure Stability Boundaries , 2009 .

[4]  Chris L. Pettit,et al.  Effects of Parametric Uncertainty on Airfoil Limit Cycle Oscillation , 2003 .

[5]  I. Elishakoff,et al.  Reliability of laminated plates via the first-order second-moment method , 1990 .

[6]  J. Cooper,et al.  Design of Composite Wings Including Uncertainties : A Probabilistic Approach , 2009 .

[7]  Ranjan Ganguli,et al.  Aeroelastic Response of Composite Helicopter Rotor with Random Material Properties , 2008 .

[8]  T. K. Datta,et al.  Reliability Analysis of Suspension Bridges against Flutter , 2002 .

[9]  Yuan-Cheng Fung,et al.  An introduction to the theory of aeroelasticity , 1955 .

[10]  R. Ibrahim,et al.  Effect of Stiffness Uncertainties on the Flutter of a Cantilever Wing , 2008 .

[11]  Liviu Librescu,et al.  Aeroelastic Response and Flutter of Swept Aircraft Wings , 2002 .

[12]  Sondipon Adhikari Asymptotic distribution method for structural reliability analysis in high dimensions , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[13]  Chris L. Pettit,et al.  Uncertainty Quantification in Aeroelasticity: Recent Results and Research Challenges , 2004 .

[14]  Giulio Romeo,et al.  Non-linear Aeroelastic Behavior of Highly Flexible HALE Wings , 2006 .

[15]  Earl H. Dowell,et al.  Stochastic Analysis of a Nonlinear Aeroelastic Model Using the Response Surface Method , 2006 .

[16]  Ove Ditlevsen,et al.  Principle of Normal Tail Approximation , 1981 .

[17]  Ken Badcock,et al.  CFD based aeroelastic stability predictions under the influence of structural variability. , 2009 .

[18]  T. Theodorsen General Theory of Aerodynamic Instability and the Mechanism of Flutter , 1934 .

[19]  M. Hohenbichler,et al.  Improvement Of Second‐Order Reliability Estimates by Importance Sampling , 1988 .

[20]  M. Rosenblatt Remarks on a Multivariate Transformation , 1952 .

[21]  Suren Chen,et al.  Flutter reliability analysis of suspension bridges , 2005 .

[22]  E. S. Pearson Biometrika tables for statisticians , 1967 .

[23]  D. Yadav,et al.  Forced nonlinear vibration of laminated composite plates with random material properties , 2005 .

[24]  L. Librescu,et al.  Free vibration and reliability of composite cantilevers featuring uncertain properties , 1997 .

[25]  Giulio Romeo,et al.  PROBABILISTIC DESIGN OF ADVANCED COMPOSI TE MATERIALS FOR AEROSPACE STRUCTURES , 2006 .