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Uncertainty investigations in nonlinear aeroelastic systems. (English) Zbl 1446.74113

Summary: In this paper, the stochastic collocation method (SCM) is applied to investigate the nonlinear behavior of an aeroelastic system with uncertainties in the system parameter and the initial condition. Numerical case studies for problems with uncertainties are carried out. In particular, the performance of the SCM is compared with solutions based on other computational techniques such as Monte Carlo simulation, Wiener chaos expansion and wavelet chaos expansion. From the computational results, we conclude that the SCM is an effective tool to study a nonlinear aeroelastic system with random parameters.

MSC:

74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
60G35 Signal detection and filtering (aspects of stochastic processes)
65C05 Monte Carlo methods
65C30 Numerical solutions to stochastic differential and integral equations
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