Abstract
Modern wind turbine blades are slender structures whose increased flexibilities have led to unforeseen aeroelastic instabilities leading to failures. In this study, the turbine blade is modeled as a two-dimensional airfoil and is subjected to random loading. The airfoil is assumed to oscillate only in the rotational degree of freedom. The loading is assumed to be stationary and Gaussian. The fatigue damage due to this loading is described through the rain-flow cycle counting method. An approach based on polynomial chaos expansion is used to obtain the response of the nonlinear oscillator.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cameron RH, Martin WT (1947) The orthogonal development of nonlinear functionals in series of Fourier–Hermite functionals. Ann Math 48:385–392
Desai A, Sarkar S (2010) Analysis of a nonlinear aeroelastic system with parametric uncertainties using polynomial chaos expansion. Math Probl Eng 2010:1–22. doi:10.1155/2010/379472
Fung YC 1955 An introduction to the theory of aeroelasticity. Wiley, New York
Gupta S, Rychlik I (2007) Rain-flow fatigue damage due to nonlinear combination of vector Gaussian loads. Probab Eng Mech 22:231–249
Li R, Ghanem R (1998) Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration. Probab Eng Mech 13:125
Miner MA (1945) Cumulative damage in fatigue. J Appl Mech 12:A159–A164
Palmgren A (1924) Die lebensdauer von kugellagern. VDI Z 68:339–341
Papoulis A, Pillai SU (2002) Probability, random variables and stochastic processes. Tata-McGraw-Hill, Boston
Rychlik I ( 1993) On the “narrow-band” approximation for expected fatigue damage. Probab Eng Mech 8:1–4
Shinozuka M, Jan CM (1972) Digital simulation of random processes and its applications. J Sound Vib 25(1):111–128
Wiener N (1938) The homogeneous chaos. Am J Math 60(4):897–936
Xiu D, Karniadakis GE (2002) The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J Sci Comput 24(2):619–644
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer India
About this paper
Cite this paper
Ganesh, N., Gupta, S. (2013). Estimating the Rain-Flow Fatigue Damage in Wind Turbine Blades Using Polynomial Chaos. In: Chakraborty, S., Bhattacharya, G. (eds) Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012). Springer, India. https://doi.org/10.1007/978-81-322-0757-3_46
Download citation
DOI: https://doi.org/10.1007/978-81-322-0757-3_46
Published:
Publisher Name: Springer, India
Print ISBN: 978-81-322-0756-6
Online ISBN: 978-81-322-0757-3
eBook Packages: EngineeringEngineering (R0)