Propagation of parametric uncertainties in a nonlinear aeroelastic system using an improved adaptive sparse grid quadrature routine

[+] Author and Article Information
Harshini Devathi

Department of Aerospace Engineering, IIT Madras, Chennai, India 600036

Sunetra Sarkar

Department of Aerospace Engineering, IIT Madras, Chennai, India 600036

1Corresponding author.

ASME doi:10.1115/1.4039471 History: Received October 19, 2017; Revised February 21, 2018


A novel uncertainty quantification routine in the genre of adaptive sparse grid stochastic collocation has been proposed in the present study to investigate the propagation of parametric uncertainties in a stall flutter aeroelastic system. In a hypercube stochastic domain, presence of strong nonlinearities can give way to steep solution gradients that can adversely affect the convergence of non-adaptive sparse grid collocation schemes. A new adaptive scheme is proposed here that allows for accelerated convergence by clustering more discretization points in regimes characterized by steep fronts, using hat-like basis functions with non-equidistant nodes. The proposed technique has been applied on a nonlinear stall flutter aeroelastic system to quantify the propagation of multi-parametric uncertainty from both structural and aerodynamic parameters. Their relative importance on the stochastic response is presented through a sensitivity analysis.

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