Time variant reliability assessment of ship structures with fast integration techniques

Abstract The objective of the present study is to evaluate the time variant reliability of ship hulls. The still water and the wave induced vertical bending moments are the only loads considered in the analysis. The ultimate vertical bending moment capacity of the ship hull is considered as a limit state. The probability of failure during any period of time is calculated as the probability of occurrence of any up-crossing of the safe level by the loading process. The uncertainties related to the loading are taken into account. The general reliability problem, which includes combination of random variables and stochastic random processes are solved. As the solution of this problem is time consuming the present study develops an algorithm based on fast integration techniques in order to assess the structural reliability efficiently instead of the conventional numerical integration methods.

[1]  C. Guedes Soares,et al.  Assessment of IACS-CSR implicit safety levels for buckling strength of stiffened panels for double hull tankers , 2011 .

[2]  C. Guedes Soares Long term distribution of non-linear wave induced vertical bending moments , 1993 .

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

[4]  Ove Ditlevsen,et al.  Empty envelope excursions in stationary Gaussian processes , 1988 .

[5]  Armen Der Kiureghian,et al.  Joint First-Passage Probability and Reliability of Systems under Stochastic Excitation , 2006 .

[6]  C. Guedes Soares,et al.  Reliability-Based Structural Design of Ship-Type FPSO Units , 2003 .

[7]  C. Guedes Soares,et al.  Reliability of maintained ship hull girders subjected to corrosion and fatigue , 1998 .

[8]  Carlos Guedes Soares,et al.  Effects of Common Structural Rules on hull-girder reliability of an Aframax oil tanker , 2008, Reliab. Eng. Syst. Saf..

[9]  Jeom Kee Paik,et al.  Ship structural safety and reliability , 2001 .

[10]  G. Lindgren Extremal ranks and transformation of variables for extremes of functions of multivariate Gaussian processes , 1984 .

[11]  Rolf Skjong,et al.  Implicit Reliability of Ship Structures , 2002 .

[12]  C. Guedes Soares,et al.  Structural reliability of two bulk carrier designs , 2000 .

[13]  C. Guedes Soares,et al.  Combination of primary load effects in ship structures , 1992 .

[14]  C. Allin Cornell,et al.  Combination of Various Load Processes , 1981 .

[15]  Y. K. Wen,et al.  System Reliability under Time Varying Loads: II , 1989 .

[16]  Henrik O. Madsen,et al.  Methods for Time‐Dependent Reliability and Sensitivity Analysis , 1990 .

[17]  C. Guedes Soares,et al.  Reliability of Corrosion Protected and Maintained Ship Hulls Subjected to Corrosion and Fatigue , 1999 .

[18]  Ove Ditlevsen,et al.  Duration of visit to critical set by Gaussian process , 1986 .

[19]  M J Marley TIME VARIANT RELIABILITY UNDER FATIGUE DEGRADATION , 1991 .

[20]  M. R. Leadbetter,et al.  The Moments of the Number of Crossings of a Level by a Stationary Normal Process , 1965 .

[21]  Y. Belyaev On the Number of Exits Across the Boundary of a Region by a Vector Stochastic Process , 1968 .

[22]  Robert E. Melchers,et al.  Radial Importance Sampling for Structural Reliability , 1990 .

[23]  A Teixeira,et al.  Methods of structural reliability applied to design and maintenance planning of ship hulls and floating platforms , 2010 .

[24]  J. Paik,et al.  An Empirical Formulation For Predicting the Ultimate Compressive Strength of Stiffened Panels , 1997 .

[25]  C. Guedes Soares,et al.  Fatigue Reliability of Maintained Welded Joints in the Side Shell of Tankers , 1998 .

[26]  Y. K. Wen,et al.  On Fast Integration for Time Variant Structural Reliability , 1987 .

[27]  Alaa E. Mansour,et al.  A simple formulation for predicting the ultimate strength of ships , 1995 .

[28]  Jann N. Yang,et al.  Approximation to First Passage Probability , 1975 .

[29]  C. Guedes Soares,et al.  Time-dependent reliability of the primary ship structure , 1989 .

[30]  Espen H. Cramer,et al.  Fatigue assessment of ship structures , 1995 .

[31]  Mobile Units,et al.  Practical design of ships and mobile units : Proceedings of PRADS'95 -- the 6th international symposium on Practical Design of Ships and Mobile Units, Seoul, Korea, 17-22 September 1995 , 1995 .

[32]  R. Rackwitz,et al.  Asymptotic crossing rate of Gaussian vector processes into intersections of failure domains , 1986 .

[33]  Masanobu Shinozuka,et al.  On the First-Excursion Probability in Stationary Narrow-Band Random Vibration, II , 1971 .

[34]  Mircea Grigoriu,et al.  Vector-Process Models for System Reliability , 1977 .

[35]  R. Rackwitz,et al.  Outcrossing rates of marked poisson cluster processes in structural reliability , 1988 .

[36]  E. Vanmarcke On the Distribution of the First-Passage Time for Normal Stationary Random Processes , 1975 .

[37]  C. Q. Li,et al.  Failure probability of reinforced concrete columns under stochastic loads , 1995 .

[38]  Alaa E. Mansour,et al.  Development of reliability based classification rules for tankers , 2003 .

[39]  C. Guedes Soares,et al.  Reliability analysis of a tanker subjected to combined sea states , 2009 .

[40]  Robert E. Melchers Load‐Space Formulation for Time‐Dependent Structural Reliability , 1992 .

[41]  Carlos Guedes Soares,et al.  Hull-girder reliability of new generation oil tankers , 2007 .

[42]  C. Guedes Soares,et al.  Fatigue reliability of the ship hull girder accounting for inspection and repair , 1996 .

[43]  Torgeir Moan,et al.  Model uncertainty in the long-term distribution of wave-induced bending moments for fatigue design of ship structures , 1991 .

[44]  Torgeir Moan,et al.  TIME VARIANT FORMULATION FOR FATIGUE RELIABILITY , 1992 .

[45]  harald Cramer,et al.  Stationary And Related Stochastic Processes , 1967 .

[46]  M. R. Leadbetter,et al.  Extremes and Related Properties of Random Sequences and Processes: Springer Series in Statistics , 1983 .

[47]  C. Guedes Soares,et al.  Assessment of partial safety factors for the longitudinal strength of tankers , 2006 .

[48]  P. H. Madsen,et al.  An Integral Equation Method for the First-Passage Problem in Random Vibration , 1984 .

[49]  K. Breitung Asymptotic crossing rates for stationary Gaussian vector processes , 1988 .

[50]  C. Guedes Soares Stochastic models of load effects for the primary ship structure , 1990 .

[51]  Niels C. Lind,et al.  Methods of structural safety , 2006 .

[52]  Y. Belyaev On the Number of Intersections of a Level by a Gaussian Stochastic Process. I , 1966 .

[53]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[54]  H. Cramér On the intersections between the trajectories of a normal stationary stochastic process and a high level , 1966 .

[55]  Torgeir Moan,et al.  Time-Variant Reliability Assessment of FPSO Hull Girder With Long Cracks , 2007 .

[56]  R. Rackwitz,et al.  Approximations of first-passage times for differentiable processes based on higher-order threshold crossings , 1995 .

[57]  Robert E. Melchers,et al.  General multi-dimensional probability integration by directional simulation , 1990 .

[58]  C. Guedes Soares,et al.  Hull girder reliability using a Monte Carlo based simulation method , 2013 .

[59]  Y. K. Lin,et al.  First-excursion failure of randomly excited structures , 1970 .

[60]  O. Ditlevsen Gaussian Outcrossings from Safe Convex Polyhedrons , 1983 .