Application of system identification techniques in efficient modelling of offshore structural response. Part I: Model development

Abstract Offshore structures are exposed to random wave loading in the ocean environment and hence the probability distribution of the extreme values of their response to wave loading is of great value in the design of these structures. Wave loading on slender members of bottom-supported jacket or jack-up structures is frequently calculated by Morison’s equation. Due to nonlinearity of the drag component of Morison wave loading and also due to intermittency of wave loading on members in the splash zone, the response is often non-Gaussian; therefore, simple techniques for derivation of their extreme response probability distribution are not available. Finite-memory nonlinear systems (FMNS) are extensively used in establishing a simple relationship between the output and input of complicated nonlinear systems. In this paper, it will be shown how the response of an offshore structure exposed to Morison wave loading can be approximated by the response of an equivalent finite-memory nonlinear system. The approximate models can then be used to determine the probability distribution of response extreme values with great efficiency. Part I of this paper is devoted to the development of an efficient FMNS model for offshore structural response while part II is devoted to the validation of the developed models.

[1]  W. Pierson,et al.  A proposed spectral form for fully developed wind seas based on the similarity theory of S , 1964 .

[2]  J. Bendat,et al.  Random Data: Analysis and Measurement Procedures , 1971 .

[3]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[4]  Marc Prevosto,et al.  Nonlinear Spectral Computation of the Dynamic Response of a Single Cylinder , 1988 .

[5]  Sau-Lon James Hu Stochastic Dynamic Response to Nonlinear Wave Loading: Fourth‐Moment Analysis , 1990 .

[6]  S. Rice Mathematical analysis of random noise , 1944 .

[7]  Philip Jonathan,et al.  TIME DOMAIN SIMULATION OF JACK-UP DYNAMICS WITH THE EXTREMES OF A GAUSSIAN PROCESS , 1997 .

[8]  Leon E. Borgman,et al.  RANDOM HYDRODYNAMIC FORCES ON OBJECTS , 1967 .

[9]  Mircea Grigoriu,et al.  On the spectral representation method in simulation , 1993 .

[10]  C. C. Tung,et al.  Effects of Free Surface Fluctuations on Total Wave Force on Cylinder , 1995 .

[11]  Mark Cassidy,et al.  Analysis of jack-up units using a Constrained NewWave methodology , 2001 .

[12]  Joel P. Conte,et al.  Field Verification of Linear and Nonlinear Hybrid Wave Models for Offshore Tower Response Prediction , 1997 .

[13]  T. Apostol One-variable calculus, with an introduction to linear algebra , 1967 .

[14]  Richard Burrows,et al.  'Higher-order statistical moments of wave-induced response of offshore structures via efficient sampling techniques' , 2002 .

[15]  R. Rackwitz,et al.  Polynomial approximation of Morison wave loading , 1997 .

[16]  S. Quek,et al.  Stochastic response of offshore platforms by statistical cubicization , 1995 .

[17]  C. Y. Liaw,et al.  Response cumulant analysis of a linear oscillator driven by Morison force , 2004 .

[18]  P. S. Tromans,et al.  Comparison of Loads Predicted Using “Newwave” and Other Wave Models with Measurements on the Tern Structure , 1993 .

[19]  G. Najafian,et al.  Derivation of statistical properties of wave-induced offshore structural response by principal component technique , 2007 .

[20]  T. Apostol Multi-variable calculus and linear algebra, with applications to differential equations and probability , 1969 .

[21]  M. Tucker,et al.  Numerical simulation of a random sea: a common error and its effect upon wave group statistics , 1984 .

[22]  J. R. Morison,et al.  The Force Exerted by Surface Waves on Piles , 1950 .

[23]  I. Jolliffe Principal Component Analysis , 2002 .

[24]  Julius S. Bendat,et al.  Nonlinear System Techniques And Applications , 1990 .

[25]  R G Tickell CONTINUOUS RANDOM WAVE LOADING ON STRUCTURAL MEMBERS , 1977 .

[26]  G. Rodenbusch Random Directional Wave Forces On Template Offshore Platforms , 1986 .

[27]  Loren D. Lutes,et al.  NON-NORMAL DESCRIPTIONS OF MORISON-TYPE WAVE FORCES , 1987 .

[28]  G. Lindgren,et al.  Some Properties of a Normal Process Near a Local Maximum , 1970 .

[29]  H. O. Posten Multidimensional Gaussian Distributions , 1964 .

[30]  Ahsan Kareem,et al.  Equivalent Statistical Quadratization and Cubicization for Nonlinear Systems , 1997 .

[31]  Paul M. Hagemeijer,et al.  A New Model For The Kinematics Of Large Ocean Waves-Application As a Design Wave , 1991 .

[32]  J. D. Wheeler,et al.  METHOD FOR CALCULATING FORCES PRODUCED BY IRREGULAR WAVES , 1970 .

[33]  Marshall D. Earle,et al.  Ocean Wave Climate , 1979, Marine Science.

[34]  Jørgen Juncher Jensen Second-order wave kinematics conditional on a given wave crest , 1996 .

[35]  P. S. Tromans,et al.  Substantiated risk assessment of jacket structure , 1994 .

[36]  Mohammed Raoof Effect Of Lay Angle On Various Characteristics Of Spiral Strands , 1997 .

[37]  P H Taylor ON THE KINEMATICS OF LARGE OCEAN WAVES , 1992 .

[38]  Alaa E. Mansour,et al.  A CONDITIONAL MEAN SECOND-ORDER WAVE THEORY , 1995 .

[39]  P. S. Tromans,et al.  VALIDATION OF 'NEWWAVE' THEORY AND RDWF PREDICTIONS AGAINST MEASURED GLOBAL LOADING ON A NORTH SEA JACKET , 1992 .

[40]  Richard Burrows Expected value analysis for the quasi-static response of offshore structures , 1983 .

[41]  Thomas H. Dawson Offshore Structural Engineering , 1983 .

[42]  Leon E. Borgman,et al.  Directional Wave Spectra from Wave Sensors , 1979 .

[43]  H. Saunders Literature Review : RANDOM DATA: ANALYSIS AND MEASUREMENT PROCEDURES J. S. Bendat and A.G. Piersol Wiley-Interscience, New York, N. Y. (1971) , 1974 .

[44]  G. Z. Forristall,et al.  An Empirical Model For Random Directional Wave Kinematics Near The Free Surface , 1986 .

[45]  L BruceR QUASI-STATIC RESPONSE OF JACKET PLATFORMS SUBJECT TO NON-LINEAR WAVE LOADING , 1985 .

[46]  L. Borgman,et al.  Ocean wave simulation for engineering design , 1967 .

[47]  T. Sarpkaya,et al.  Mechanics of wave forces on offshore structures , 1981 .

[48]  F. W. Kellaway,et al.  Advanced Engineering Mathematics , 1969, The Mathematical Gazette.

[49]  Mark Cassidy,et al.  Evaluation of long-term extreme response statistics of jack-up platforms , 2002 .

[50]  T. L Shaw Mechanics of wave-induced forces on cylinders , 1979 .

[51]  Xiang Yuan Zheng,et al.  Polynomial Approximations of Wave Loading and Superharmonic Responses of Fixed Structures , 2003 .

[52]  Celso Kazuyuki Morooka,et al.  Numerical Simulation And Spectral Analysis of Irregular Sea Waves , 1995 .