Rainflow analysis in Coastal Engineering using switching second order Markov models |
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Authors: | Carmen Castillo Enrique Castillo Alfonso Fernández-Canteli Rebeca Gómez Rafael Molina |
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Institution: | 1. Department of Civil Engineering, University of Castilla-La Mancha, Spain;2. Department of Applied Mathematics and Computational Sciences, University of Cantabria, Spain;3. Department of Construction and Fabrication Engineering, University of Oviedo, Spain;4. School of Civil Engineering, Polytechnical University of Madrid, Spain |
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Abstract: | The paper deals with the use of Markov and switching Markov chain models of turning points to reproduce random sets of sea states. The advantages of these models are emphasized and compared with existing models based on wave height records, indicating that long and short range and period cycles are included, while the wave height records ignore this important information from the point of view of damage accumulation. Existing models for first order Markov processes are extended to the case of second order processes and closed formulas are given to derive the rainflow matrices of these processes. Finally, one illustrative example of application is given. |
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Keywords: | Switching Markov chains of turning points Rainflow matrices Damage accumulation Second order Markov processes |
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