Non-normal descriptions of morison-type wave forces

Document Type

Article

Date of Original Version

1-1-1987

Abstract

The usual description of the force exerted by a stochastic wave is extended to include the non-normality of that force. In particular, the Morison equation is used to describe the force resulting from a sea state with stationary, normally distributed water velocities. Thus, the force non-normality which is considered results only from the nonlinearity of the Morison equation. The fourth order cumulant function is used to describe the non-normality of the force. The same information is also represented as a three-dimensional spectral density, which results from a three-fold Fourier transform of the cumulant function. Closed form solutions are not found, but the results of a power series expansion method appear to give good approximations. Potential applications of the results involve determinations of the non-normality of the response of a structure subjected to a Morison-type wave force. Such response non-normality can then be used to substantially improve estimates of structural failure, due to either first passage or accumulation of fatigue damage. © ASCE.

Publication Title, e.g., Journal

Journal of Engineering Mechanics

Volume

113

Issue

2

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