Non-Gaussian Approach for Stochastic Analysis of Offshore Structures
Publication: Journal of Engineering Mechanics
Volume 121, Issue 11
Abstract
An approach that is able to obtain the stochastic characteristics in terms of stochastic moments of a SDOF system excited by loads due to a fluid-structure interaction is presented. In this approach the fluid horizontal velocity is considered as a filtered white noise, and the actual load expression is replaced by a third-degree polynomial of this velocity. The tools needed to promptly obtain the filters parameters and the equations governing the response moments are also presented; in particular, if the structure is sufficiently stiff, it is shown that these equations do not need any closure scheme in order to be solved.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Arnold, L. (1994). Stochastic differential equations: theory and applications . Wiley, New York, N.Y.
2.
Di Paola, M., Falsone, G., and Pirrotta, A. (1992). “Stochastic response analysis of nonlinear systems under Gaussian inputs.”Prob. Engrg. Mech., Vol. 7, 15–21.
3.
Grigoriu, M., and Alibe, B.(1980). “Response of offshore structures to random waves.”J. Engrg. Mech., ASCE, 112(8), 729–744.
4.
Grigoriu, M., and Ariaratnam, S. T. (1988). “Response of linear systems to polynomials of Gaussian processes.”J. Appl. Mech., Vol. 55, 905–910.
5.
Itô, K. (1961). Lectures on stochastic processes . Tata Inst. of Fundamental Res., Bombay, India.
6.
Koliopulos, P. K. (1988). “Quasi-static and dynamic response statistics of linear SDOF systems under Morison-type wave force.”Engrg. Struct., Vol. 10, 24–36.
7.
Lin, Y. K. (1967). Probabilistic theory of structural dynamics . McGraw-Hill, New York, N.Y.
8.
Malhotra, A. K., and Penzien, J. (1970). “Nondeterministic analysis of offshore structures.” J. Engrg. Mech. Div., ASCE, 36(6).
9.
Morrison, J. R., O'Brien, M. P., Johnson, J. W., and Schaaf, S. A. (1950). “The force exerted by surface waves on piles.”Petroleum Trans., Vol. 180, 149–154.
10.
Muscolino, G. (1995). “Linear systems excited by polynomial forms of non-Gaussian filtered processes.”Probabilistic Engrg. Mech., Vol. 10, 35–44.
11.
Shinozuka, M., Yu, C., and Vaicaitis, R.(1977). “Dynamic analysis of fixed offshore structures subjected to wind generated waves.”J. Struct. Mech., 5(2), 136–166.
12.
Spanos, P. T. D.(1986). “Filter approaches to wave kinematics approximation.”Appl. Oc. Res., 8(1), 2–7.
13.
Wu, W. F., and Lin, Y. K. (1984). “Cumulant—neglect closure for nonlinear oscillators under parametric and external excitations.”Int. J. Nonlinear Mech., Vol. 5, 910–916.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 11 • November 1995
Pages: 1173 - 1180
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Nov 1, 1995
Published in print: Nov 1995
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.