Non-Gaussian Model for Ringing Phenomena in Offshore Structures

Significant interest has been shown in identifying the nonlinear mechanisms that induce a ringing type response in offshore structural systems. This high frequency transient type response has been observed in offshore systems, particularly in tension leg platforms (TLPs). Given the implications of this behavior on the fatigue life of TLP tendons, it is essential that ringing be considered in the overall response evaluation. This study presents two non-Gaussian probabilistic models of nonlinear viscous hydrodynamic wave forces that induce ringing. The response of a single-degree-of-freedom system exposed to these non-Gaussian wave force models is then evaluated using analytical and numerical studies based on the Ito⁁ differentiation rule and the Monte Carlo simulation procedure, respectively. The results demonstrate that the proposed models induce ringing type response in a simplified structure. This study provides a probabilistic framework for modeling ringing type phenomenon which will serve as a buildin...

[1]  Ahsan Kareem,et al.  Simulation of Ringing in Offshore Systems under Viscous Loads , 1998 .

[2]  Donald L. Snyder,et al.  Random Point Processes in Time and Space , 1991 .

[3]  M. Taqqu,et al.  Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance , 1995 .

[4]  Arne Nestegård,et al.  A New Nonslender Ringing Load Approach Verified Against Experiments , 1998 .

[5]  R C Rainey,et al.  SLENDER BODY MODELS OF TLP AND GBS 'RINGING' , 1994 .

[6]  Mircea Grigoriu,et al.  Applied non-Gaussian processes : examples, theory, simulation, linear random vibration, and MATLAB solutions , 1995 .

[7]  Mircea Grigoriu,et al.  Nonlinear systems driven by polynomials of filtered Poisson processes , 1999 .

[8]  W. R. Buckland,et al.  Distributions in Statistics: Continuous Multivariate Distributions , 1973 .

[9]  John R. Chaplin,et al.  Ringing of a vertical cylinder in waves , 1997, Journal of Fluid Mechanics.

[10]  L. Rogers Stochastic differential equations and diffusion processes: Nobuyuki Ikeda and Shinzo Watanabe North-Holland, Amsterdam, 1981, xiv + 464 pages, Dfl.175.00 , 1982 .

[11]  E. Renshaw,et al.  STOCHASTIC DIFFERENTIAL EQUATIONS , 1974 .

[12]  A. Kareem,et al.  SIMULATION OF A CLASS OF NON-NORMAL RANDOM PROCESSES , 1996 .

[13]  S. Shreve,et al.  Stochastic differential equations , 1955, Mathematical Proceedings of the Cambridge Philosophical Society.

[14]  池田 信行,et al.  Stochastic differential equations and diffusion processes , 1981 .

[15]  竹中 茂夫 G.Samorodnitsky,M.S.Taqqu:Stable non-Gaussian Random Processes--Stochastic Models with Infinite Variance , 1996 .

[16]  I. Rubin,et al.  Random point processes , 1977, Proceedings of the IEEE.

[17]  D. Applebaum Stable non-Gaussian random processes , 1995, The Mathematical Gazette.

[18]  S Guangwen,et al.  DIGITAL SIMULATION OF NONLINEAR RANDOM WAVES , 1990 .

[19]  Ross B. Corotis,et al.  Journal of Engineering Mechanics , 1983 .

[20]  I. I. Gihman,et al.  Stochastic Differential Equations without After-effect , 1972 .

[21]  Odd M. Faltinsen,et al.  Nonlinear wave loads on a slender vertical cylinder , 1995, Journal of Fluid Mechanics.

[22]  P. R. Fisk,et al.  Distributions in Statistics: Continuous Multivariate Distributions , 1971 .

[23]  Birger J. Natvig A Proposed Ringing Analysis Model For Higher Order Tether Response , 1994 .

[24]  K. Hasselmann On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory , 1962, Journal of Fluid Mechanics.

[25]  Torgeir Moan,et al.  Environmental Load Effect Analysis of Guyed Towers , 1985 .

[26]  Donald L. Snyder,et al.  Self-Exciting Point Processes , 1991 .