The joint crossing frequency of stochastic processes and its application to wave theory |
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| Affiliation: | 1. College of Civil Engineering, Hunan University, Changsha, 410082, PR China;2. Key Lab on Damage Diagnosis for Engineering Structures of Hunan Province, Hunan University, PR China;1. Department of Civil Engineering, Tsinghua University, Beijing 100084, China;2. School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia |
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| Abstract: | The paper introduces the concepts of joint mean crossing frequency and joint mean density of peak values of a stochastic process. These concepts are then used to derive formulate for the extreme values of a narrow-band Gaussian process. It is also shown that the joint crossing frequency can be used to derive the statistical distribution of crest to trough wave heights of a Gaussian process of narrow but finite bandwidth.The methods of extreme value prediction presented incorporates effects of correlation in a rational and simple manner. Specifically, statistical dependence between neighbouring peaks of a narrow-band time series is accounted for. The results given should therefore be of interest to practical design of marine structures. |
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