Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion
Citations
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Cites methods from "Analysis of a Nonlinear Aeroelastic..."
...To deal with the uncertainties, a non-intrusive PCE, which is proposed by Walters (2003), is employed to predict mean responses and corresponding probability density functions of the vibration amplitude in this work, and its availability and convergence have been verified in some literature (Desai and Sarkar, 2010; Hosder et al., 2006)....
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...…PCE, which is proposed by Walters (2003), is employed to predict mean responses and corresponding probability density functions of the vibration amplitude in this work, and its availability and convergence have been verified in some literature (Desai and Sarkar, 2010; Hosder et al., 2006)....
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20Â citations
Cites background or methods or result from "Analysis of a Nonlinear Aeroelastic..."
...In our earlier work on an uncertain aeroelastic system, we have used a Gauss–Hermite quadrature scheme to evaluate the chaos coefficient in a one-dimensional approach [19,20]....
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...Convergence of the PCE with an increasing order of PC expansion is given in our earlier work [19,47]....
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...With an increasing order of expansion, it is required to solve higher order inner products which increases the computational time required to obtain the chaos coefficients and, in some cases, it takes almost the same computational time as the MCS [19]....
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References
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