Reliability Analysis of a Composite Wind Turbine Blade Section Using the Model Correction Factor Method: Numerical Study

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Reliability Analysis of a Composite Wind Turbine Blade Section Using the Model Correction Factor Method: Numerical Study and Validation Nikolay Dimitrov · Peter Friis-Hansen · Christian Berggreen

Received: 5 December 2011 / Accepted: 22 December 2011 / Published online: 24 March 2012 © Springer Science+Business Media B.V. 2012

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)

N. Dimitrov (B) Research and Development Department, Siemens Wind Power A/S, Dybendalsvaenget 3, 2630 Taastrup, Denmark e-mail: [email protected] P. Friis-Hansen Det Norske Veritas, Veritasvejen 1, 1363 Høvik, Norway e-mail: [email protected] C. Berggreen Department of Wind Energy, Technical University of Denmark, Nils Koppels Allé, Building 403, 2800 Kgs. Lyngby, Denmark e-mail: [email protected]

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Appl Compos Mater (2013) 20:17–39

proved to be a fast and efficient way to calculate the reliability index of a complex composite structure. Keywords Laminate · Probabilistic methods · Finite Element Analysis (FEA) · Failure criterion · Reliability analysis

1 Introduction The process of technological development constantly imposes new challenges and demands on the design engineers. The demands to the structural properties are increasing—structures need to be light, strong, and well tuned to their particular applications. Such a process requires the designers to optimize the materials used for their structures and to look for newer or more versatile material technologies such as fiber-reinforced polymer (FRP) composites. The behaviour of the FRP materials is at present associated by relatively large uncertainties compared to conventional isotropic materials. A large part of these uncertainties can be attributed to the more complex structure and geometric layout of composites, combined with the relatively limited knowledge and experience with these. The design of a highly-optimized, fine-tuned structure is a hard task to solve when uncertainties are involved, since the presence of any uncertainty or variation in properties will likely result in the need of larger safety factors, thus having a negative impact on the structural dimensions and optimality. Reliability methods give the d