The ultimate strength of a ship’s hull depends on its material and geometric properties, some or all of which may be random in nature. In addition, initial imperfections in the form of initial deflection and residual welding stresses in plating between stiffeners can significantly affect the hull ultimate strength. In this paper, the effect of randomness in yield strength and in the initial imperfections on ultimate hull girder strength is determined. Different levels of statistical dependence between yield strength and initial imperfection of stiffeners and plating between stiffeners have been considered. The methodology is applied on a bulk carrier and a VLCC tanker.

1.
Caldwell
,
J. B.
, 1965, “
Ultimate Longitudinal Strength
,”
Trans. RINA
0035-8967,
107
, pp.
411
430
.
2.
Mansour
,
A. E.
,
Yang
,
J. M.
, and
Thayamballi
,
A. K.
, 1990, “
An Experimental Investigation of Ship Hull Ultimate Strength
,”
Soc. Nav. Archit. Mar. Eng., Trans.
0081-1661,
93
, pp.
33
55
.
3.
Paik
,
J. K.
, and
Mansour
,
A. E.
, 1995, “
A Simple Formulation for Predicting the Ultimate Strength of Ships
,”
J. Mar. Sci. Technol.
0948-4280,
1
, pp.
52
62
.
4.
Smith
,
C. S.
, 1977, “
Influence of Local Compressive Failure on Ultimate Longitudinal Strength of a Ship’s Hull
,”
Proceedings of the International Symposium on Practical Design in Shipbuilding
, Tokyo, Japan, pp.
73
79
.
5.
Yao
,
T.
, and
Nikolov
,
P. I.
, 1991, “
Progressive Collapse Analysis of a Ship’s Hull Under Longitudinal Bending
,”
J. Soc. Nav. Archit. Jpn.
0514-8499,
170
, pp.
449
461
.
6.
Yao
,
T.
, and
Nikolov
,
P. I.
, 1992, “
Progressive Collapse Analysis of a Ship’s Hull Under Longitudinal Bending (Second Report)
,”
J. Soc. Nav. Archit. Jpn.
0514-8499,
172
, pp.
437
446
.
7.
Guedes Soares
,
C.
, 1988, “
Design Equation for the Compressive Strength of Unstiffened Plate Elemets With Initial Imperfections
,”
J. Constr. Steel Res.
0143-974X,
9
, pp.
287
310
.
8.
Gordo
,
J. M.
, and
Guedes Soares
,
C.
, 1993, “
Approximate Load Shortening Curves for Stiffened Plates Under Uniaxial Compression
,”
Proceedings of the Integrity of Offshore Structures–5
,
D.
Faulkner
,
M. J.
Cowling
,
A.
Incecik
, and
P. K.
Das
, eds., EMAS, pp.
189
211
.
9.
Paik
,
J. K.
,
Thayamballi
,
A. K.
, and
Kim
,
D. H.
, 1999, “
An Analytical Method for the Ultimate Compressive Strength and Effective Plating of Stiffened Panels
,”
J. Constr. Steel Res.
0143-974X,
49
, pp.
43
68
.
10.
Gordo
,
J. M.
,
Guedes Soares
,
C.
, and
Faulkner
,
D.
, 1996, “
Approximate Assessment of the Ultimate Longitudinal Strength of the Hull Girder
,”
J. Ship Res.
0022-4502,
40
(
1
), pp.
60
69
.
11.
Vhanmane
,
S.
, and
Bhattacharya
,
B.
, 2008, “
Estimation of Ultimate Hull Girder Strength With Initial Imperfections
,”
Ship and Offshore Structures
,
3
(
3
), pp.
149
158
.
12.
Bonello
,
M. A.
,
Chryssanthopoulos
,
M. K.
, and
Dowling
,
P. J.
, 1991, “
Probabilistic Strength Modelling of Unstiffened Plates Under Axial Compression
,”
The Tenth International Conference on Offshore Mechanics and Arctic Engineering
, Stavanger, Norway.
13.
Chryssanthopoulos
,
M. K.
, 1998, “
Probabilistic Buckling Analysis of Plates and Shells
,”
Thin-Walled Struct.
0263-8231,
30
, pp.
135
157
.
14.
Kim
,
B. J.
, 2003, “
Ultimate Limit State Design of Ship Structures
,” Ph.D. thesis, Pusan National University, South Korea.
15.
Paik
,
J. K.
, and
Thayamballi
,
A. K.
, 2003,
Ultimate Limit State Design of Steel-Plated Structures
,
Wiley
,
Chichester, UK
.
16.
Harada
,
M.
, and
Shigemi
,
T.
, 2007, “
A Method for Estimating the Uncertainties in Ultimate Longitudinal Strength of Cross Section of Ship’s Hull Based on Nonlinear FEM
,”
The Tenth International Symposium on Practical Design of Ships and Other Floating Structures
, Houston, TX.
17.
Vhanmane
,
S.
, and
Bhattacharya
,
B.
, 2007, “
On Improved Analytical Method for Stress-Strain Relationship for Plate Elements Under Axial Compressive Load
,”
Ship and Offshore Structures
,
2
(
4
), pp.
347
353
.
18.
ISSC
, 2000, “
Ultimate Hull Girder Strength
,”
Report of Special Task Committee VI.2, 14th International Ship and Offshore Structures Congress
, Nagasaki, Japan, Oct. 2–6.
19.
Paik
,
J. K.
,
Thayamballi
,
A. K.
, and
Kim
,
B. J.
, 2000, “
Ultimate Strength and Effective Width Formulations for Ship Plating Subject to Combined Axial Load, Edge Shear and Lateral Pressure
,”
J. Ship Res.
0022-4502,
44
(
4
), pp.
247
258
.
20.
IACS CSR 2006, Common Structural Rules, International Association of Classification Societies, UK.
21.
DNV, 1992, Classification Notes No. 30.6, Structural Reliability Analysis of Marine Structures, DNV, Hovik, Norway.
22.
Guedes Soares
,
C.
, and
Kmiecik
,
M.
, 1993, “
Simulation of the Ultimate Compressive Strength of Unstiffened Rectangular Plates
,”
Mar. Struct.
0951-8339,
6
, pp.
553
569
.
23.
Paik
,
J. K.
, and
Frieze
,
P. A.
, 2001, “
Ship Structural Safety and Reliability
,”
Prog. Struct. Eng. Mater.
1365-0556,
3
, pp.
198
210
.
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