Table of Contents Author Guidelines Submit a Manuscript
International Journal of Aerospace Engineering
Volume 2017, Article ID 2571253, 17 pages
https://doi.org/10.1155/2017/2571253
Research Article

Bifurcation Analysis with Aerodynamic-Structure Uncertainties by the Nonintrusive PCE Method

School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China

Correspondence should be addressed to Yuting Dai; nc.ude.aaub@iadgnituy

Received 18 October 2016; Revised 14 December 2016; Accepted 19 December 2016; Published 16 February 2017

Academic Editor: Enrico Cestino

Copyright © 2017 Linpeng Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. Timothy, “Non-intrusive uncertainty propagation with error bounds for conservation laws containing discontinuities,” Uncertainty Quantification in Computational Fluid Dynamics, vol. 92, pp. 1–57, 2013. View at Google Scholar
  2. J. G. Leishman and T. S. Beddoes, “A semi-empirical model for dynamic stall,” Journal of the American Helicopter Society, vol. 34, no. 3, pp. 3–17, 1989. View at Publisher · View at Google Scholar · View at Scopus
  3. D. Ragni, B. W. van Oudheusden, and F. Scarano, “Non-intrusive aerodynamic loads analysis of an aircraft propeller blade,” Experiments in Fluids, vol. 51, no. 2, pp. 361–371, 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. Y. Gu, X. Zhang, and Z. Yang, “Robust flutter analysis based on genetic algorithm,” Science China Technological Sciences, vol. 55, no. 9, pp. 2474–2481, 2012. View at Publisher · View at Google Scholar · View at Scopus
  5. D. M. Pitt, D. P. Haudrich, M. J. Thomas et al., “Probabilistic aeroelastic analysis and its implications on flutter margin requirements,” AIAA-2008-2198, 2008.
  6. Y. Dai and C. Yang, “Methods and advances in the study of aeroelasticity with uncertainties,” Chinese Journal of Aeronautics, vol. 27, no. 3, pp. 461–474, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. Z. Wu, Y. Dai, C. Yang, and L. Chen, “Aeroelastic wind-tunnel test for aerodynamic uncertainty model validation,” Journal of Aircraft, vol. 50, no. 1, pp. 47–55, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. Y. Dai and C. Yang, “Aeroservoelastic model modification and uncertainty quantification with Bayesian Posteriori Estimation,” Transactions of the Japan Society for Aeronautical and Space Sciences, vol. 58, no. 4, pp. 237–246, 2015. View at Publisher · View at Google Scholar · View at Scopus
  9. Y. Dai, Z. Wu, and C. Yang, “Identification and robust limit-cycle-oscillation analysis of uncertain aeroelastic system,” Science China Technological Sciences, vol. 54, no. 7, pp. 1841–1848, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  10. D. Borglund and U. Ringertz, “Solution of the flutter eigenvalue problem with mixed structural/aerodynamic uncertainty,” Journal of Aircraft, vol. 48, no. 1, pp. 343–348, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. C. L. Pettit, “Uncertainty quantification in aeroelasticity: recent results and research challenges,” Journal of Aircraft, vol. 41, no. 5, pp. 1217–1229, 2004. View at Publisher · View at Google Scholar · View at Scopus
  12. H. N. Najm, “Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics,” Annual Review of Fluid Mechanics, vol. 41, pp. 35–52, 2009. View at Google Scholar
  13. L. Mehrez, A. Doostan, D. Moens, and D. Vandepitte, “Stochastic identification of composite material properties from limited experimental databases, part ii: uncertainty modelling,” Mechanical Systems and Signal Processing, vol. 27, pp. 484–498, 2012. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Nikbay and P. Acar, “Reduced order modelling for static and dynamic aeroelastic predictions with multidisciplinary approach,” CEAS Aeronautical Journal, vol. 6, no. 3, pp. 455–469, 2015. View at Publisher · View at Google Scholar · View at Scopus
  15. P. S. Beran, C. L. Pettit, and D. R. Millman, “Uncertainty quantification of limit-cycle oscillations,” Journal of Computational Physics, vol. 217, no. 1, pp. 217–247, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  16. K. J. Badcock, S. Timme, S. Marques et al., “Transonic aeroelastic simulation for instability searches and uncertainty analysis,” Progress in Aerospace Sciences, vol. 47, no. 5, pp. 392–423, 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. L. Bruno, C. Canuto, and D. Fransos, “Stochastic aerodynamics and aeroelasticity of a flat plate via generalised Polynomial Chaos,” Journal of Fluids and Structures, vol. 25, no. 7, pp. 1158–1176, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. S. Song, Z. Lu, W. Zhang, and L. Cui, “Uncertainty importance measure by fast fourier transform for wing transonic flutter,” Journal of Aircraft, vol. 48, no. 2, pp. 449–455, 2011. View at Publisher · View at Google Scholar · View at Scopus
  19. D. K. Kishor, R. Ganguli, and S. Gopalakrishnan, “Uncertainty analysis of vibrational frequencies of an incompressible liquid in a rectangular tank with and without a baffle using polynomial chaos expansion,” Acta Mechanica, vol. 220, no. 1, pp. 257–273, 2011. View at Publisher · View at Google Scholar · View at Scopus
  20. Z. Qiu, R. Huang, X. Wang, and W. Qi, “Structural reliability analysis and reliability-based design optimization: recent advances,” Science China: Physics, Mechanics and Astronomy, vol. 56, no. 9, pp. 1611–1618, 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. C. L. Pettit and P. S. Beran, “Spectral and multiresolution Wiener expansions of oscillatory stochastic processes,” Journal of Sound and Vibration, vol. 294, no. 4, pp. 752–779, 2006. View at Publisher · View at Google Scholar · View at Scopus
  22. C. L. Pettit and P. S. Beran, “Polynomial chaos expansion applied to airfoil limit cycle oscillations,” in Proceedings of the 45thAIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA Paper 2004-1691, Palm Springs, Calif, USA, 2004.
  23. Y. Dai and C. Yang, “Smolyak-grid-based flutter analysis with the stochastic aerodynamic uncertainty,” Discrete Dynamics in Nature and Society, vol. 2014, Article ID 174927, 8 pages, 2014. View at Publisher · View at Google Scholar · View at Scopus
  24. D. Xiu, D. Lucor, C.-H. Su, and G. E. Karniadakis, “Stochastic modeling of flow-structure interactions using generalized polynomial chaos,” Journal of Fluids Engineering, vol. 124, no. 1, pp. 51–59, 2002. View at Publisher · View at Google Scholar · View at Scopus
  25. G. Remeo, G. Frulla, E. Cestino, and G. Corsino, “HELIPLAT: design, aerodynamic, structural design of UAV scaled prototype,” in Proceedings of the Conference of the 17th Italian Association of Aeronautics and Astronautics National Congress (AIDAA '03), vol. 1, pp. 569–578, Roma, Italy, September 2003.
  26. G. Frulla and E. Cestino, “Design, manufacturing and testing of a HALE-UAV structural demonstrator,” Composite Structures, vol. 83, no. 2, pp. 143–153, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. W. Sheng, R. A. M. Galbraith, and F. N. Coton, “A modified dynamic stall model for low mach numbers,” Journal of Solar Energy Engineering, Transactions of the ASME, vol. 130, no. 3, Article ID 031013, 10 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
  28. J. G. Leishman and G. L. Crouse, “State-space model for unsteady airfoil behavior and dynamic stall,” in Proceedings of the 30th Structures, Structural Dynamics and Materials Conference, Structures, Structural Dynamics, and Materials and Co-Located Conferences, AIAA 89-1319-CP, Mobile, Ala, USA, April 1989.
  29. D. Xiu and G. E. Karniadakis, “Modeling uncertainty in flow simulations via generalized polynomial chaos,” Journal of Computational Physics, vol. 187, no. 1, pp. 137–167, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  30. G. Dimitriadis and J. Li, “Bifurcation behavior of airfoil undergoing stall flutter oscillations in low-speed wind tunnel,” AIAA Journal, vol. 47, no. 11, pp. 2577–2596, 2009. View at Publisher · View at Google Scholar · View at Scopus
  31. S. Shao, Q. Zhu, C. Zhang, and X. Ni, “Airfoil aeroelastic flutter analysis based on modified Leishman-Beddoes model at low Mach number,” Chinese Journal of Aeronautics, vol. 24, no. 5, pp. 550–557, 2011. View at Publisher · View at Google Scholar · View at Scopus