Smolyak-Grid-Based Flutter Analysis with the Stochastic Aerodynamic Uncertainty
How to estimate the stochastic aerodynamic parametric uncertainty on aeroelastic stability is studied in this current work. The aerodynamic uncertainty is more complicated than the structural one, and it takes more significant effect on the flutter boundary. First, the nominal unsteady aerodynamic i...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/174927 |
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| author | Yuting Dai Chao Yang |
| author_facet | Yuting Dai Chao Yang |
| author_sort | Yuting Dai |
| collection | DOAJ |
| description | How to estimate the stochastic aerodynamic parametric uncertainty on aeroelastic stability is studied in this current work. The aerodynamic uncertainty is more complicated than the structural one, and it takes more significant effect on the flutter boundary. First, the nominal unsteady aerodynamic influence coefficients were calculated with the doublet lattice method. Based on this nominal model, the stochastic uncertainty model for unsteady aerodynamic pressure coefficients was constructed with physical meaning. Afterwards, the methodology for flutter uncertainty quantification due to aerodynamic perturbation was developed, based on the nonintrusive polynomial chaos expansion theory. In order to enhance the computational efficiency, the integration algorithm, namely, Smolyak sparse grids, was employed to calculate the coefficients of the stochastic polynomial basis. Finally, the flutter uncertainty analysis methodology was applied to an aircraft's wing model. The influence of uncertainty with uniform distribution for aerodynamic pressure coefficients on flutter boundary was quantified. The numerical results indicate that, the influence of unsteady aerodynamic pressure due to the motion of coupling modes takes significant effect on flutter boundary. It is validated that the flutter uncertainty analysis based on Smolyak sparse grids integration is efficient and accurate for quantifying input uncertainty with high dimensions. |
| format | Article |
| id | doaj-art-7c5e896f6dfd49e7a684356530a28ff6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7c5e896f6dfd49e7a684356530a28ff62025-02-03T00:59:08ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/174927174927Smolyak-Grid-Based Flutter Analysis with the Stochastic Aerodynamic UncertaintyYuting Dai0Chao Yang1School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, ChinaSchool of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, ChinaHow to estimate the stochastic aerodynamic parametric uncertainty on aeroelastic stability is studied in this current work. The aerodynamic uncertainty is more complicated than the structural one, and it takes more significant effect on the flutter boundary. First, the nominal unsteady aerodynamic influence coefficients were calculated with the doublet lattice method. Based on this nominal model, the stochastic uncertainty model for unsteady aerodynamic pressure coefficients was constructed with physical meaning. Afterwards, the methodology for flutter uncertainty quantification due to aerodynamic perturbation was developed, based on the nonintrusive polynomial chaos expansion theory. In order to enhance the computational efficiency, the integration algorithm, namely, Smolyak sparse grids, was employed to calculate the coefficients of the stochastic polynomial basis. Finally, the flutter uncertainty analysis methodology was applied to an aircraft's wing model. The influence of uncertainty with uniform distribution for aerodynamic pressure coefficients on flutter boundary was quantified. The numerical results indicate that, the influence of unsteady aerodynamic pressure due to the motion of coupling modes takes significant effect on flutter boundary. It is validated that the flutter uncertainty analysis based on Smolyak sparse grids integration is efficient and accurate for quantifying input uncertainty with high dimensions.http://dx.doi.org/10.1155/2014/174927 |
| spellingShingle | Yuting Dai Chao Yang Smolyak-Grid-Based Flutter Analysis with the Stochastic Aerodynamic Uncertainty Discrete Dynamics in Nature and Society |
| title | Smolyak-Grid-Based Flutter Analysis with the Stochastic Aerodynamic Uncertainty |
| title_full | Smolyak-Grid-Based Flutter Analysis with the Stochastic Aerodynamic Uncertainty |
| title_fullStr | Smolyak-Grid-Based Flutter Analysis with the Stochastic Aerodynamic Uncertainty |
| title_full_unstemmed | Smolyak-Grid-Based Flutter Analysis with the Stochastic Aerodynamic Uncertainty |
| title_short | Smolyak-Grid-Based Flutter Analysis with the Stochastic Aerodynamic Uncertainty |
| title_sort | smolyak grid based flutter analysis with the stochastic aerodynamic uncertainty |
| url | http://dx.doi.org/10.1155/2014/174927 |
| work_keys_str_mv | AT yutingdai smolyakgridbasedflutteranalysiswiththestochasticaerodynamicuncertainty AT chaoyang smolyakgridbasedflutteranalysiswiththestochasticaerodynamicuncertainty |