Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2010, Article ID 379472, 21 pages
http://dx.doi.org/10.1155/2010/379472
Research Article

Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion

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

Received 10 January 2010; Revised 30 April 2010; Accepted 14 June 2010

Academic Editor: Carlo Cattani

Copyright © 2010 Ajit Desai and Sunetra Sarkar. 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.

Citations to this Article [24 citations]

The following is the list of published articles that have cited the current article.

  • Guangjing Huang, Yuting Dai, Chao Yang, and Siyan Zhu, “Fast Flutter Uncertainty Calculation Based on Arbitrary Modal Shapes and Reduced - Order Modeling,” 2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, . View at Publisher · View at Google Scholar
  • P. Rangaraj, Abhijit Chaudhuri, and Sayan Gupta, “Polynomial Chaos in Bootstrap Filtering for System Identification,” Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012), pp. 653–667, 2012. View at Publisher · View at Google Scholar
  • N. Ganesh, and Sayan Gupta, “Estimating the Rain-Flow Fatigue Damage in Wind Turbine Blades Using Polynomial Chaos,” Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012), pp. 711–727, 2012. View at Publisher · View at Google Scholar
  • Venkatesh, Sunetra Sarkar, and Ajit Desai, “Analysis of aeroelastic system under random gust with parametric uncertainties using polynomial chaos expansion,” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4, pp. 21–29, 2012. View at Publisher · View at Google Scholar
  • Ajit Desai, Jeroen A. S. Witteveen, and Sunetra Sarkar, “Uncertainty Quantification of a Nonlinear Aeroelastic System Using Polynomial Chaos Expansion With Constant Phase Interpolation,” Journal of Vibration and Acoustics-Transactions of The Asme, vol. 135, no. 5, 2013. View at Publisher · View at Google Scholar
  • S. Venkatesh, Sunetra Sarkar, and Igor Rychlik, “Uncertainties in Blade Flutter Damage Prediction under Random Gust,” Probabilistic Engineering Mechanics, 2014. View at Publisher · View at Google Scholar
  • Jianbin Guo, Shaohua Du, Yao Wang, and Shengkui Zeng, “Time-Dependent Global Sensitivity Analysis for Long-Term Degeneracy Model Using Polynomial Chaos,” Advances in Mechanical Engineering, vol. 2014, pp. 1–16, 2014. View at Publisher · View at Google Scholar
  • N. Ganesh, and Sayan Gupta, “Reliability Analysis of Nonlinear Vibrating Systems-Spectral Approach,” Encyclopedia of Earthquake Engineering, pp. 1–31, 2015. View at Publisher · View at Google Scholar
  • Rangaraj Pandurangan, Abhijit Chaudhuri, and Sayan Gupta, “The use of polynomial chaos for parameter identification from measurements in nonlinear dynamical systems,” Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik, vol. 95, no. 12, pp. 1372–1392, 2015. View at Publisher · View at Google Scholar
  • N. Ganesh, and Sayan Gupta, “Reliability Analysis of Nonlinear Vibrating Systems-Spectral Approach,” Encyclopedia of Earthquake Engineering, pp. 2104–2131, 2015. View at Publisher · View at Google Scholar
  • Frederico Martins Alves da Silva, Augusta Finotti Brazão, and Paulo Batista Gonçalves, “Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell,” Mathematical Problems in Engineering, vol. 2015, pp. 1–18, 2015. View at Publisher · View at Google Scholar
  • Jiang Jun, Tian Zhui, and Li Zigang, “Non-linear vibration of an angular-misaligned rotor system with uncertain parameters,” JVC/Journal of Vibration and Control, vol. 22, no. 1, pp. 129–144, 2016. View at Publisher · View at Google Scholar
  • Harshini Devathi, and Sunetra Sarkar, “Study of a stall induced dynamical system under gust using the probability density evolution technique,” Computers & Structures, vol. 162, pp. 38–47, 2016. View at Publisher · View at Google Scholar
  • W. Dheelibun Remigius, Hridya P. Lal, Jainendra K. Dubey, Siddhesh M. Godbole, Sayan Gupta, and Sunetra Sarkar, “Stochastic Reduced Order Modelling of a Fluid Structure Interaction System,” Procedia Engineering, vol. 144, pp. 1213–1219, 2016. View at Publisher · View at Google Scholar
  • W. Dheelibun Remigius, Shaurya Garg, and Sunetra Sarkar, “Uncertainty Quantification of a Non-linear Rotating Plate Behavior in Compressible Fluid Medium,” Procedia Engineering, vol. 144, pp. 974–981, 2016. View at Publisher · View at Google Scholar
  • Hridya P. Lal, Siddhesh M. Godbole, Jainendra K. Dubey, Sunetra Sarkar, and Sayan Gupta, “Reduced Order Models in Analysis of Stochastically Parametered Linear Dynamical Systems,” Procedia Engineering, vol. 144, pp. 1325–1331, 2016. View at Publisher · View at Google Scholar
  • Sunetra Sarkar, and Dheelibun Remigius, “Bifurcations and uncertainty quantifications in nonlinear acousto-elastic systems,” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 13, 2016. View at Publisher · View at Google Scholar
  • Ajit Desai, Mohammad Khalil, Chris Pettit, Dominique Poirel, and Abhijit Sarkar, “Scalable domain decomposition solvers for stochastic PDEs in high performance computing,” Computer Methods in Applied Mechanics and Engineering, 2017. View at Publisher · View at Google Scholar
  • Manuel Fluck, and Curran Crawford, “An engineering model for 3-D turbulent wind inflow based on a limited set of random variables,” Wind Energy Science, vol. 2, no. 2, pp. 507–520, 2017. View at Publisher · View at Google Scholar
  • J. Venkatramani, Vineeth Nair, R.I. Sujith, Sayan Gupta, and Sunetra Sarkar, “Multi-fractality in aeroelastic response as a precursor to flutter,” Journal of Sound and Vibration, vol. 386, pp. 390–406, 2017. View at Publisher · View at Google Scholar
  • Zigang Li, Zhui Tian, and Jun Jiang, “Stochastic Dynamics of a Nonlinear Misaligned Rotor System Subject to Random Fluid-Induced Forces,” Journal of Computational and Nonlinear Dynamics, vol. 12, no. 1, 2017. View at Publisher · View at Google Scholar
  • Yuning Zheng, and Zhiping Qiu, “An efficient method for flutter stability analysis of aeroelastic systems considering uncertainties in aerodynamic and structural parameters,” Mechanical Systems and Signal Processing, vol. 126, pp. 407–426, 2019. View at Publisher · View at Google Scholar
  • Guangjing Huang, Yuting Dai, Chao Yang, and Siyan Zhu, “Fast Flutter Uncertainty Calculation Based on Arbitrary Mode Shapes and Reduced - Order Modeling,” The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018), vol. 459, pp. 2607–2626, 2019. View at Publisher · View at Google Scholar
  • Rajnish Bhusal, and Kamesh Subbarao, “Generalized Polynomial Chaos Expansion Approach for Uncertainty Quantification in Small Satellite Orbital Debris Problems,” The Journal of the Astronautical Sciences, 2019. View at Publisher · View at Google Scholar