Long-Term Distributions of Stochastic Processes with Application to Ship Hull Stress Statistics

摘要

The mathematical properties of the following probability distributions and their moment generating functions are derived: Weibull distribution; Rayleigh distribution; Exponential distribution; Normal distribution; Voznesensky distribution; and Generalized Rayleigh distribution. The relative merits of applying these distributions to problems in ship responses to the sea, which is described as a stationary stochastic process, are discussed. In Part 2, the most promising long-term distributions derived from the above survey are applied to ship bending stress data from four ships. It is concluded that a numerical solution of long-term distributions, using either Weibull or Normal distributions of the short-term Rayleigh parameters (classified by weather groups) is better than any explicit functions. (Author)