Hull Girder Elastic Section Modulus as a Representative of Hull Girder Geometric Properties in Probabilistic Analyses

Abstract The input data for the time variant reliability calculation of the hull girder contain uncertainties. The level of uncertainty of the calculated hull girder probability of failure depends on the accuracy in the probabilistic presentation of all parameters, including hull girder geometric properties. In the paper, all hull girder geometric properties used in calculation of its bending, shear and torsion stresses are presented by their annual probabilistic distributions and probabilistic distributions for any given time period. A proposal is made for simplifying the calculations using the probabilistic distribution of the hull girder elastic section modulus (deck) as a representative of the probabilistic distributions of all other hull girder geometric properties. The example given is for a bulk carrier.

[1]  Lyuben D. Ivanov A probabilistic assessment of all hull girder geometric properties at any ship's age , 2007 .

[2]  A. R. Davidson Theory of Probabilities. , 1953 .

[3]  J K Paik,et al.  A Time-Dependent Corrosion Wastage Model For Bulk , 2003 .

[4]  Ge Wang,et al.  Uncertainties in Assessing the Corrosion Wastage and its Effect on Ship Structure Scantlings , 2004 .

[5]  C. Guedes Soares,et al.  Reliability of maintained ship hulls subjected to corrosion and fatigue under combined loading , 1996 .

[6]  C. Guedes Soares,et al.  Reliability assessment of maintained ship hulls with correlated corroded elements , 1997 .

[7]  Norio Yamamoto,et al.  A Study on the Degradation of Coating and Corrosion of Ship’s Hull Based on the Probabilistic Approach , 1998 .

[8]  C. Guedes Soares,et al.  Reliability of maintained, corrosion protected plates subjected to non-linear corrosion and compressive loads , 1999 .

[9]  R. Melchers Corrosion uncertainty modelling for steel structures , 1999 .

[10]  Lyuben D. Ivanov Geometric Properties of Shipbuilding Structural Profiles in Probabilistic Terms to Be Used in Elastic Bending Strength Calculations , 2008 .

[11]  John C. Daidola,et al.  Probabilistic Structural Analysis of Ship Hull Longitudinal Strength. , 1980 .

[12]  N S Basar,et al.  SURVEY OF STRUCTURAL TOLERANCES IN THE UNITED STATES COMMERCIAL SHIPBUILDING INDUSTRY , 1978 .

[13]  Bilal M. Ayyub,et al.  Uncertainties in Material Strength , Geometric , and Load Variables , 2004 .

[14]  A E Bostwick,et al.  THE THEORY OF PROBABILITIES. , 1896, Science.

[15]  Ge Wang,et al.  Assessment of Corrosion Risks to Aging Ships Using an Experience Database , 2005 .

[16]  Ge Wang,et al.  Incorporated probability that a fleet meets a given permissible value for the hull girder section modulus loss , 2008 .

[17]  Bilal M. Ayyub,et al.  Statistical Characteristics of Strength and Load Random Variables of Ship Structures , 1996 .

[18]  Bilal M. Ayyub,et al.  Uncertainty Modeling and Analysis in Civil Engineering , 1997 .

[19]  Jae-Myung Lee,et al.  A Time-Dependent Corrosion Wastage Model for the Structures of Single-and Double-Hull Tankers and FSOs and FPSOs , 2003 .

[20]  R. Melchers Modeling of Marine Immersion Corrosion for Mild and Low-Alloy Steels—Part 1: Phenomenological Model , 2003 .