Sensitivity approach for modelling the environmental loading of marine structures through a matrix response surface

The actual challenge for the reassessment of existing offshore structures through a rational process of reassessment leads one to state the importance of a response surface methodology. At different steps along the quantitative analysis, quite a number of approximations are developed as surrogates for the original model. They require subsequent uncertainty and sensitivity studies. This paper suggests a geometrical description of the energy of the wave kinematics fields for the building of a wave loading response surface. The matrix response surface of the water particle kinematics field is shown to be suitable for further transfers and for uncertainty and sensitivity studies. This allows discussion of the complexity level to be introduced in stochastic modelling of the wave actions within its relevance for the probabilistic mechanics analysis of offshore structures. For illustration, in situ measurements are used to provide ranges and distributions of basic variables with a view to performing uncertainty and sensitivity studies.

[1]  Tim Bedford,et al.  Safety and Reliability , 2003 .

[2]  L. Faravelli Response‐Surface Approach for Reliability Analysis , 1989 .

[3]  C. J. Garrison DRAG AND INERTIA FORCES ON CIRCULAR CYLINDERS IN HARMONIC FLOW , 1990 .

[4]  Lucia Faravelli Structural Reliability via Response Surface , 1992 .

[5]  Palle Thoft-Christensen,et al.  Reliability and Optimization of Structural Systems , 2019 .

[6]  G. H. Keulegan,et al.  Forces on cylinders and plates in an oscillating fluid , 1958 .

[7]  G. Gladwell,et al.  Solid mechanics and its applications , 1990 .

[8]  S. Nagai Wave Forces on Structures , 1973 .

[9]  Muzeau,et al.  EVALUATION OF RELIABILITY IN CASE OF COMPLEX MECHANICAL BEHAVIOUR , 1993 .

[10]  P. H. Taylor,et al.  Current Blockage: Reduced Forces on Offshore Space-Frame Structures , 1991 .

[11]  J. H. Allender,et al.  MEASURED AND PREDICTED WAVE PLUS CURRENT LOADING ON A LABORATORY-SCALE, SPACE FRAME STRUCTURE , 1987 .

[12]  John B. Herbich,et al.  Wave Forces on Submerged Model By Structures , 1974 .

[13]  J. Wolfram,et al.  The Effects of Marine Fouling on the Fluid Loading of Cylinders: Some Experimental Results , 1985 .

[14]  L. D. Finn,et al.  WAKE AND SHIELDING EFFECTS ON HYDRODYNAMIC LOADING , 1989 .

[15]  James Lighthill,et al.  Fundamentals concerning wave loading on offshore structures , 1986, Journal of Fluid Mechanics.

[16]  Ole Secher Madsen HYDRODYNAMIC FORCE ON CIRCULAR CYLINDERS , 1986 .

[17]  R. Rackwitz,et al.  Approximation of non-normal responses for drag dominated offshore structures , 1995 .

[18]  John C. Heideman,et al.  Local Wave Force Cefficients , 1979 .

[19]  R. G. Standing WAVE LOADING ON OFFSHORE STRUCTURES: A REVIEW , 1984 .

[20]  Jacques Labeyrie,et al.  Response Surface Methodology in Structural Reliability , 1997 .

[21]  J. Labeyrie,et al.  Time scales and statistical uncertainties in the prediction of extreme environmental conditions , 1991 .

[22]  T. Caughey Equivalent Linearization Techniques , 1962 .

[23]  Peter Stansby,et al.  RECENT DEVELOPMENTS IN OFFSHORE HYDRODYNAMICS: WORKSHOP REPORT , 1987 .

[24]  O. Skjåstad,et al.  NONLINEAR RANDOM WAVE LOADING ON FIXED OFFSHORE PLATFORMS , 1986 .

[25]  C J Watson,et al.  IMPLICATIONS OF WAVE-CURRENT INTERACTIONS FOR OFFSHORE DESIGN , 1989 .

[26]  F. Schoefs,et al.  Discussion on response surface approximations for use in structural reliability , 1995 .

[27]  P Klinting,et al.  COUPLED EXPERIMENTAL AND ANALYTICAL INVESTIGATION OF HYDRODYNAMIC FORCES ON A JACKET IN WAVES , 1990 .

[28]  L. Faravelli,et al.  Stochastic Finite Elements Via Response Surface: Fatigue Crack Growth Problems , 1997 .

[29]  F Schoefs,et al.  A FORMAL GEOMETRICAL MODELLING OF WAVE ACTIONS FOR STRUCTURAL RELIABILITY , 1995 .

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

[31]  V. V. Bolotin Statistical Methods in Structural Mechanics , 1969 .

[32]  Gerd Grubb,et al.  PROBLÉMES AUX LIMITES NON HOMOGÉNES ET APPLICATIONS , 1969 .

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

[34]  Peter W. Bearman,et al.  THE LOADING ON A CYLINDER IN POST-CRITICAL FLOW BENEATH PERIODIC AND RANDOM WAVES , 1985 .

[35]  J Thebault,et al.  VALIDATION OF STOCHASTIC ENVIRONMENTAL DESIGN CRITERIA ON FRIGG FIELD , 1987 .

[36]  W. Manners,et al.  Hydrodynamic forces on fixed submerged cylinders , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[37]  James E. Campbell,et al.  An Approach to Sensitivity Analysis of Computer Models: Part I—Introduction, Input Variable Selection and Preliminary Variable Assessment , 1981 .