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Fatigue damage estimation in non-linear systems using a combination of Monte Carlo simulation and the First Order Reliability Method
Institution:1. Department of Mechanical Engineering, Technical University of Denmark, Denmark;2. Centre for Autonomous Marine Operations, Norwegian University of Science and Technology, Norway;1. Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan;2. Joining and Welding Research Institute, Osaka University, 11-1 Mihogaoka, Ibaraki, Osaka 567-0047, Japan;1. Department of Mechanics and Maritime Sciences, Chalmers University of Technology, 41296, Gothenburg, Sweden;2. Department of Mathematical Sciences, Chalmers University of Technology, 41296, Gothenburg, Sweden;1. Naval Research Laboratory, 4555 Overlook Ave., Washington, DC 20375, USA;2. North Carolina State University, Department of Agricultural and Resource Economics, Raleigh, NC 27695-8109, USA;3. North Carolina State University, Department of Applied Ecology, Raleigh, NC 27695-8109, USA;4. University of Louisville, Department of Mechanical Engineering, Louisville, KY 40292, USA;5. U.S. Geological Survery, 12100 Beech Forest Rd., Laurel, MD 20708-4017, USA
Abstract:For non-linear systems the estimation of fatigue damage under stochastic loadings can be rather time-consuming. Usually Monte Carlo simulation (MCS) is applied, but the coefficient-of-variation (COV) can be large if only a small set of simulations can be done due to otherwise excessive CPU time. The reason is that the fatigue damage estimation is very sensitive to the largest values from the simulations. The paper suggests the additional use of the First Order Reliability Method (FORM) to get a better estimation of the tail in the distribution of the estimated fatigue damage and thereby reducing the COV. For a specific example dealing with stresses in a tendon in a tension leg platform the COV is thereby reduced by a factor of three.
Keywords:Fatigue damage estimation  FORM  Wave loads  Non-linear systems
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