文档介绍：Computers and Structures 85 (2007) 866–878
pstruc
Modeling physical uncertainties in dynamic stall induced
fluid–structure interaction of turbine blades using
arbitrary polynomial chaos
Jeroen . Witteveen, ra Sarkar *, Hester Bijl
Faculty of Aerospace Engineering, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, herlands
Received 31 May 2006; accepted 2 January 2007
Available online 20 February 2007
Abstract
A nonlinear dynamic problem of stall induced flutter oscillation subject to physical uncertainties is analyzed using arbitrary polyno-
mial chaos. A single-degree-of-freedom stall flutter model with torsional oscillation is considered subject to nonlinear aerodynamic loads
in the dynamic stall regime and nonlinear structural stiffness. The analysis of the deterministic aeroelastic response demonstrated that the
problem is sensitive to variations in structural natural frequency and structural nonlinearity. The effect of uncertainties in these param-
eters is studied. Arbitrary polynomial chaos is employed in which appropriate expansion polynomials are constructed based on the
statistical moments of the uncertain input. The arbitrary polynomial chaos results pared with Monte Carlo simulations.
Ó 2007 Elsevier Ltd. All rights reserved.
Keywords: Dynamic stall; Stall flutter; Structural nonlinearity; Uncertainty quantification; Polynomial chaos expansion; Arbitrary uncertainties
1. Introduction stall induced oscillation of a two-dimensional profile when
one or more system parameters are varied randomly.
Aeroelastic stability remains an important concern for
the design of wind turbine rotors, more so with the use . Aeroelasticity and stall flutter
of increasingly flexible blades. Increased flexibility some-
times brings plex oscillation modes which could be One of the interesting problems in aeroelasticity is the
potentially dangerous to the structure [1,2]. Moreover, study of stability of a structure in wind. Flutter is a
w