Dynamic Analysis of Offshore Structures by C. A. Brebbia

By C. A. Brebbia

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28 corresponding to n = 3, which is the one for the significant wave as defined above. 12 WEIBULL DISTRIBUTION The Rayleigh distribution cannot always adequately represent certain maxima processes. This distribution is a one parameter distribution fully defined by knowing the value of the standard deviation. In practice many processes are better defined by a more flexible twoparameter distribution called the Weibull distribution. 140) Note that the Rayleigh distribution is a special case of Weibull's for K = 2 and o = c/Jl.

17. For a narrow-band process, the record will take the form of a modulated sine wave with no negative maxima, or positive minima. 17 Sample record of narrow-band process; ã> — (wl + co2)/2, period ^ 2n/o) 40 FUNDAMENTALS OF PROBABILISTIC PROCESSES Note. The broad-band process has a narrower range of t for which is an appreciable function. e. (u, ti). 18. 19). e. how many cycles have positive slopes at u = a during T. 19 Positive-slope crossings, at u = a, for a random record 42 FUNDAMENTALS OF PROBABILISTIC PROCESSES the same, and the total number of positive-slope crossings Nfl+ will only be a function of the period T and the average frequency of positive-slope crossings at u = a, v +.

28 corresponding to n = 3, which is the one for the significant wave as defined above. 12 WEIBULL DISTRIBUTION The Rayleigh distribution cannot always adequately represent certain maxima processes. This distribution is a one parameter distribution fully defined by knowing the value of the standard deviation. In practice many processes are better defined by a more flexible twoparameter distribution called the Weibull distribution. 140) Note that the Rayleigh distribution is a special case of Weibull's for K = 2 and o = c/Jl.

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