Abstract
Reliability analysis of fiber-reinforced composite structures is a relatively unexplored field, and it is therefore expected that engineers and researchers trying to apply such an approach will meet certain challenges until more knowledge is accumulated. While doing the analyses included in the present paper, the authors have experienced some of the possible pitfalls on the way to complete a precise and robust reliability analysis for layered composites. Results showed that in order to obtain accurate reliability estimates it is necessary to account for the various failure modes described by the composite failure criteria. Each failure mode has been considered in a separate component reliability analysis, followed by a system analysis which gives the total probability of failure of the structure. The Model Correction Factor method used in connection with FORM (First-Order Reliability Method) proved to be a fast and efficient way to calculate the reliability index of a complex composite structure.
Similar content being viewed by others
References
Ronold, K.O., Larsen GC.: Reliability-based design of wind-turbine rotor blades against failure in ultimate loading. Eng. Struct. 22(6), 565–574 (2000)
Lekou, D.J., Philippidis, T.P.: PRE- and POST-THIN: a tool for the probabilistic design and analysis of composite rotor blade strength. Wind Energy 12(7), 676–691 (2009). doi:10.1002/we.322
Ditlevsen, O.: Model correction factor method in structural reliability. J. Eng. Mech. 120, 1 (1994)
Branner, K.: Capacity and lifetime of foam core sandwich structures. Ph.D. thesis, Department of Naval Architecture and Offshore Engineering, Technical University of Denmark, Denmark (1995)
Madsen H.O., Krenk, S., Lind, N.C.: Methods of Structural Safety. Prentice-Hall, Inc., Englewood Cliffs, NJ (1986)
Bucher, C.G., Bourgund, U.: A fast and efficient response surface approach for structural reliability problems. Struct. Saf. 7, 57–66 (1990)
Xiu, D., Li, J.: Evaluation of failure probability via surrogate models. J. Comput. Phys. 229, 8966–8980 (2010)
Bourgund, U., Bucher, C.G.: Importance Sampling Procedure Using Design points (ISPUD)–a user’s manual. Report No. 8-86, Institute of Engineering Mechanics, University of Innsbruck, Austria (1986)
Au, S.K., Beck, J.: A new adaptive importance sampling scheme for reliability calculations. Struct. Saf. 21(2), 135–158 (1999)
Au, S.K., Beck, J.: Estimation of small failure probabilities in high dimensions by subset simulation. Probab. Eng. Mech. 16, 263–277 (2001)
Eamon, C.D., Charumas, B.: Reliability estimation of complex numerical problems using modified conditional expectation method. Comput. Struct. 89, 181–188 (2011)
Abramowitz M., Stegun I.: Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables. Dover Publications, New York (1972)
Rubinstein, B.Y.: Simulation and the Monte Carlo Method. Wiley, New York (1981)
Bjerager, P.: Probability integration by directional simulation. J. Eng. Mech. 114(8), 1285–1302 (1988)
Lepage, P.G.: A new algorithm for adaptive multidimensional integration. J. Comput. Phys. 27, 192–203 (1978)
Augusti, G., Baratta, A., Casciati, F.: Probabilistic Methods in Structural Engineering. Chapman and Hall, London (1984)
Hashin, Z.: Failure criteria for unidirectional fiber composites. J. Appl. Mech. 47, 329–334 (1980)
Tsai, S., Wu, E.: A general theory for strength of anisotropic materials. J. Compos. Mater. 5, 58–80 (1971)
Ditlevsen, O., Madsen, H.O.: Structural Reliability Methods. Wiley, Chichester (1996)
Johnson, N., Kotz, S.: Distributions in Statistics: Continuous Multivariate Distributions. Wiley, New York(1972)
Gollwitzer, S., Rackwitz, R.: An efficient numerical solution to the multinormal integral. Probab. Eng. Mech. 3(2), 98–101 (1988)
Drezner, Z.: Computation of the multivariate normal integral. ACM Trans. Math. Softw. 18(4), 470–480 (1992)
Pandey, M.D.: An effective approximation to evaluate multinormal integrals. Struct. Saf. 20, 51–67 (1998)
Kirk, G.S., Raven, J.E., Schofield, M.: The Presocratic Philosophers: A Critical History with a Selection of Texts, 2nd edn. Cambridge University Press. ISBN 0521274559 (1984)
Madsen, H.O.: Omission sensitivity factors. Struct. Saf. 5, 35–45 (1988)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dimitrov, N., Friis-Hansen, P. & Berggreen, C. Reliability Analysis of a Composite Wind Turbine Blade Section Using the Model Correction Factor Method: Numerical Study and Validation. Appl Compos Mater 20, 17–39 (2013). https://doi.org/10.1007/s10443-011-9246-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10443-011-9246-3