Abstract

The aim of the paper is the assessment of structural reliability of oil tanker, damaged in collision accident in the Adriatic Sea and exposed to combined, horizontal, and vertical bending moments. Damage size is assumed based on the direct numerical simulation of the ship–ship collision. This is justified for some specific sea environments, as the Adriatic Sea, where ship sailing routes and representative ship types involved in accidents are known, so possible collision scenarios may be reasonably predicted. Residual bending moment capacity under combined bending moments (CBM) is calculated using regression equations developed based on non-linear finite element analysis. Still-water vertical bending moments are obtained by damage stability analysis for different collision scenarios that are generated by Monte Carlo (MC) simulations. Vertical and horizontal wave bending moments are determined by short-term response analysis of damaged ship in the Adriatic Sea, using transfer functions obtained by 3D panel hydrodynamic method. Monte Carlo time simulations are performed in order to study probabilistic load combination (LC) considering randomness of the wave process due to different phase angles. Limit state function is defined using interaction equation for damaged ship exposed to combined bending moments. Safety indices are calculated by FORM for each damage scenario by using Turkstra's rule for load combination of vertical and horizontal wave bending moments. Such an approach enables to determine the safety indices for the most frequent damages and also to reveal the most critical situations resulting in the lowest safety indices.

References

References
1.
Eliopoulou
,
E.
,
Diamantis
,
P.
, and
Papanikolaou
,
A.
,
2010
, “
Casualties of Medium Size Tankers
,”
Proceedings of the 3rd International Symposium on Ship Operations, Management and Economics
,
Athens, Greece
,
Oct. 7–8
, pp.
1
6
.
2.
Moan
,
T.
,
2018
, “
Integrity Management of Marine Structures; With Emphasis on Design for Structural Robustness
,”
ASME 2018, 37th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2018)
,
Madrid, Spain
,
June 17–22
, pp.
1
14
.
3.
International Association of Classification Societies (IACS)
,
2014
,
Common Structural Rules for Bulk Carriers and Oil Tankers
,
IACS
,
London
.
4.
Khan
,
I. A.
, and
Das
,
P. K.
,
2008
, “
Reliability Analysis of Intact and Damaged Ships Considering Combined Vertical and Horizontal Bending Moments
,”
Ships Offshore Struct.
,
3
(
4
), pp.
371
384
.
5.
Mohammed
,
E. A.
,
Chan
,
H. S.
, and
Hirdaris
,
S. E.
,
2012
, “
Global Wave Load Combinations by Cross-Spectral Methods
,”
Mar. Struct.
,
29
(
1
), pp.
131
151
.
6.
Baarholm
,
G. S.
, and
Moan
,
T.
,
2002
, “
Efficient Estimation of Extreme Long-Term Stresses by Considering a Combination of Longitudinal Bending Stresses
,”
J. Mar. Sci. Technol.
,
6
(
3
), pp.
122
134
.
7.
Petricic
,
M.
, and
Mansour
,
A. E.
,
2011
, “
Long-Term Correlation Structure of Wave Loads Using Simulation
,”
Mar. Struct.
,
24
(
2
), pp.
97
116
.
8.
Jia
,
H.
, and
Moan
,
T.
,
2008
, “
Reliability Analysis of Oil Tankers With Collision Damage
,”
Proceedings of the ASME 27th International Conference on Offshore Mechanics and Arctic Engineering
,
Estoril, Portugal
,
June 15–20
, pp.
1
9
.
9.
Teixeira
,
A. P.
,
Parunov
,
J.
, and
Guedes Soares
,
C.
,
2011
, “Assessment of Ship Structural Safety”,
Marine Technology and Engineering
,
C.
Guedes Soares
,
Y.
Garbatov
,
N.
Fonseca
and
A. P.
Teixeira
, eds.,
Taylor & Francis Group
,
London, UK
, pp.
1377
1394
.
10.
Teixeira
,
A. P.
, and
Guedes Soares
,
C.
,
2010
, “Reliability Assessment of Intact and Damaged Ship Structures”,
Advanced Ship Design for Pollution Prevention
,
C.
Guedes Soares
and
J.
Parunov
, eds.,
Taylor & Francis Group
,
London
, pp.
79
93
.
11.
Luis
,
R. M.
,
Hussein
,
A. W.
, and
Guedes Soares
,
C.
,
2007
, “
On the Effect of Damage to the Ultimate Longitudinal Strength of Double Hull Tankers
,”
Proceedings of the 10th International Symposium on Practical Design of Ships and Other Floating Structures
,
American Bureau of Shipping, Houston, TX
,
Sept. 30–Oct. 5
, vol.
1
, pp.
354
362
.
12.
Hussein
,
A. W.
, and
Guedes Soares
,
C.
,
2009
, “
Reliability and Residual Strength of Double Hull Tankers Designed According to the New IACS Common Structural Rules
,”
Ocean Eng.
,
36
(
17–18
), pp.
1446
1459
.
13.
Saydam
,
D.
, and
Frangopol
,
D. M.
,
2013
, “
Performance Assessment of Damaged Ship Hulls
,”
Ocean Eng.
,
68
(
1
), pp.
65
76
.
14.
Horte
,
T.
,
Skjong
,
R.
,
Friis-Hansen
,
P.
,
Teixeira
,
A. P.
, and
Viejo de Francisco
,
F.
,
2007
, “
Probabilistic Methods Applied to Structural Design and Rule Development
,”
RINA Conference on Developments in Classification & International Regulations
,
London, UK
,
Jan. 24–25
, pp.
24
25
.
15.
Downes
,
J.
,
Moore
,
C.
,
Incecik
,
A.
,
Stumpf
,
E.
, and
McGregor
,
J.
,
2007
, “
A Method for the Quantitative Assessment of Performance of Alternative Designs in the Accidental Condition
,”
Proceedings of the 10th International Symposium on Practical Design of Ships and Other Floating Structures
,
Houston, TX
,
Sept. 30–Oct. 5
, vol.
2
, pp.
1025
1032
.
16.
Prestileo
,
A.
,
Rizzuto
,
E.
,
Teixeira
,
A.
, and
Guedes Soares
,
C.
,
2013
, “
Bottom Damage Scenarios for the Hull Girder Structural Assessment
,”
Mar. Struct.
,
33
(
1
), pp.
33
55
. 10.1016/j.marstruc.2013.04.001
17.
Parunov
,
J.
,
Rudan
,
S.
, and
Ćorak
,
M.
,
2017
, “
Ultimate Hull Girder-Strength-Based Reliability of a Double-Hull Oil Tanker After Collision in the Adriatic Sea
,”
Ships Offshore Struct.
,
12
(
1
), pp.
55
67
.
18.
Ćorak
,
M.
,
Parunov
,
J.
, and
Guedes Soares
,
C.
,
2017
, “
Structural Reliability Assessment of an Oil Tanker Accidentally Grounded in the Adriatic Sea
,”
ASME 2017, Proceedings of the 36th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2017)
,
Trondheim, Norway
,
June 25–30
, pp.
1
9
.
19.
Parunov
,
J.
,
Rudan
,
S.
,
Ćorak
,
M.
,
Bužančić Primorac
,
B.
, and
Katalinić
,
M.
,
2018
, “Framework for Risk-Based Salvage Operation of Damaged Oil Tanker After Collision in the Adriatic Sea”,
Maritime Transportation and Harvesting of Sea Resources
,
C.
Guedes Soares
&
Â. P.
Teixeira
, eds.,
Taylor & Francis Group
,
London
, pp.
67
75
.
20.
Galletta
,
M.
,
2015
, “
Parametric Analysis of Collision Between a Tanker and a Ferry
Master thesis
,
Course in Naval Architecture, University of Genova
,
Genova, Italy
.
Supervisors: Cesare Mario Rizzo and Smiljko Rudan
.
21.
Parunov
,
J.
,
Ćorak
,
M.
, and
Rudan
,
S.
,
2017
, “Correlation Analysis of IMO Collision Damage Parameters,”
Progress in the Analysis and Design of Marine Structures
,
C.
Guedes Soares
, and
Y.
Garbatov
, eds.,
Taylor & Francis Group
, pp.
477
485
.
22.
Paik
,
J. K.
,
Thayamballi
,
A. K.
, and
Che
,
J. S.
,
1996
, “
Ultimate Strength of Ship Hulls Under Combined Vertical Bending, Horizontal Bending and Shearing Forces
,”
Trans. Soc. Naval Archit. Mar. Eng.
,
104
, pp.
31
59
.
23.
Gordo
,
J. M.
, and
Guedes Soares
,
C.
,
1997
, “
Interaction Equation for the Collapse of Tankers and Containerships Under Combined Bending Moments
,”
J. Ship Res.
,
41
(
3
), pp.
230
240
.
24.
Gordo
,
J. M.
, and
Guedes Soares
,
C.
,
2000
, “
Residual Strength of Damaged Ship Hull
,”
Proceedings of the 9th International Congress of Maritime Association of the Mediterranean
,
Genoa, Italy
,
Apr. 2–6.
25.
Parunov
,
J.
,
Rudan
,
S.
,
Gledić
,
I.
, and
Bužančić Primorac
,
B.
,
2018
, “
Finite Element Study of Residual Ultimate Strength of a Double Hull oil Tanker With Simplified Collision Damage and Subjected to Bi-Axial Bending
,”
Ships Offshore Struct.
,
13
(
sup1
), pp.
25
36
. 10.1080/17445302.2018.1425520
26.
Andrić
,
J.
,
Kitarović
,
S.
, and
Pirić
,
K.
,
2015
, “
Residual Hull Girder Ultimate Strength of a Double Hull Oil Tankers
,”
Brodogradnja
,
66
(
3
), pp.
1
13
.
27.
Bureau Veritas, MARS
,
2000
,
User’s Guide
,
Marine Division Development Department
,
Bureau Veritas,
Paris
.
28.
Parunov
,
J.
, and
Guedes Soares
,
C.
,
2008
, “
Effects of Common Structural Rules on Hull-Girder Reliability of an Aframax Oil Tanker
,”
Reliab. Eng. Syst. Saf.
,
93
(
9
), pp.
1317
1327
.
29.
International Maritime Organisation (IMO)
,
2008
,
Formal Safety Assessment, MEPC 58/INF.2
,
2008
.
30.
Bureau Veritas
,
2009
,
VeriSTAR Stability Quick-Start Manual
,
Bureau Veritas
,
Paris
.
31.
Bužančić Primorac
,
B.
,
Ćorak
,
M.
, and
Parunov
,
J.
,
2015
, “Statistics of Still Water Bending Moment of Damaged Ship,”
Analysis and Design of Marine Structures
,
C.
Guedes Soares
and
A. R.
Shenoi
, ed.,
Taylor & Francis Group
,
London
, pp.
491
497
.
32.
Rodrigues
,
J. M.
,
Teixeira
,
A. P.
, and
Guedes Soares
,
C.
,
2015
, “
Probabilistic Analysis of the Hull-Girder Still Water Loads on a Shuttle Tanker in Full Load Condition for Parametrically Distributed Collision Damage Spaces
,”
Mar. Struct.
,
44
(
1
), pp.
101
124
. 10.1016/j.marstruc.2015.08.002
33.
Mansour
,
A.
, and
Høvem
,
L.
,
1994
, “
Probability-Based Ship Structural Safety Analysis
,”
J. Ship Res.
,
38
(
4
), pp.
329
339
.
34.
RUNET Software & Expert Systems
,
2016
,
cgWindWaves—Forecasting of Wind Generated Waves v4.03, User’s Manual, Ioannina, Greece
.
35.
Zec
,
D.
,
Maglić
,
L.
, and
Šimić Hlača
,
M.
,
2009
, “
Maritime Transport and Possible Accidents in the Adriatic Sea
,”
Proceedings of the 17th Annual Conference of the European Environment and Sustainable Development Advisory Councils EEAC
,
Dubrovnik
,
22 October
, pp.
1
43
.https://bib.irb.hr/datoteka/450379.Maritime_Transport_and_Possible_Accidents_in_the_Adriatic.pdf
36.
Parunov
,
J.
, and
Ćorak
,
M.
,
2015
, “Design Charts for Quick Estimation of Wave Loads on Damaged Oil Tanker in the Adriatic Sea”,
Towards Green Marine Technology and Transport
,
C.
Guedes Soares
,
R.
Dejhalla
, and
D.
Pavletic
, eds.,
Taylor & Francis Group
,
London
, pp.
389
395
.
37.
Mansour
,
A. E.
,
1994
, “
Probability Based Ship Design
”,
Loads and Loads Combinations, Ship Structure Committee (SSC 1994)
.
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