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Journal of Offshore Mechanics and Arctic Engineering | Volume 135 | Issue 3 | research-article
Research Papers: Structures and Safety Reliability

Ultimate Strength Characteristics of a Ship's Deck Stiffened Plate Structure in the Presence of Camber Parabolic Curvature

[+] Author and Article Information
Mohammad Reza Khedmati

Associate Professor
Faculty of Marine Technology,
Amirkabir University of Technology,
Tehran 15914,Iran
e-mail: khedmati@aut.ac.ir

Pedram Edalat

Lecturer
Petroleum University of Technology,
Mahmood Abad, Iran;
Amirkabir University of Technology,
Tehran 15914, Iran
e-mail: p_edalat@aut.ac.ir

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received August 10, 2010; final manuscript received March 11, 2013; published online May 24, 2013. Assoc. Editor: Thomas Fu.

J. Offshore Mech. Arct. Eng 135(3), 031601 (May 24, 2013) (10 pages) Paper No: OMAE-10-1083; doi: 10.1115/1.4023996 History: Received August 10, 2010; Revised March 11, 2013
Article
References
Figures
Tables

The main target of this research is to identify the effects of camber parabolic curvature on the ultimate strength and behavior of stiffened plates under in-plane compression. A parametric model for the study of the problem is created. The model includes different parameters related to plate, stiffeners, and also parabolic camber curvature. Three distinct sensitivity cases are assumed. In each sensitivity case, many different models are analyzed and their ultimate strengths are obtained using an in-house finite element program. Ultimate strength and behavior of the models with different ratios of parabolic curvature are compared to each other and interpreted.
Copyright © 2013 by ASME
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References

Figures

Grahic Jump Location
Fig. 1

Curvature of ship deck plate

+Curvature of ship deck plate
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Curvature of ship deck plate
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Fig. 2

Extent of the models

+Extent of the models
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Extent of the models
Grahic Jump Location
Fig. 3

Transverse and Longitudinal edges of the models

+Transverse and Longitudinal edges of the models
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Transverse and Longitudinal edges of the models
Grahic Jump Location
Fig. 4

Finite element discretization of curved stiffened plate and incorporating parameters. (a) Initial deflection in the plate. (b) Initial deflection in the stiffener. (c) Angular distortion of the stiffener.

+Finite element discretization of curved stiffened plate and incorporating parameters. (a) Initial deflection in the plate. (b) Initial deflection in the stiffener. (c) Angular distortion of the stiffener.
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Finite element discretization of curved stiffened plate and incorporating parameters. (a) Initial deflection in the plate. (b) Initial deflection in the stiffener. (c) Angular distortion of the stiffener.
Grahic Jump Location
Fig. 6

Effect of transverse frames on the average stress-average strain relationship of the curved stiffened plate (plate: L = a = 2631.6 mm, b = 3800 mm, c = 76 mm, t = 11 mm; with five longitudinal stiffeners: 210.95 × 10 mm; and with two transverse frames: 421.9 × 10 mm)

+Effect of transverse frames on the average stress-average strain relationship of the curved stiffened plate (plate: L = a = 2631.6 mm, b = 3800 mm, c = 76 mm, t = 11 mm; with five longitudinal stiffeners: 210.95 × 10 mm; and with two transverse frames: 421.9 × 10 mm)
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Effect of transverse frames on the average stress-average strain relationship of the curved stiffened plate (plate: L = a = 2631.6 mm, b = 3800 mm, c = 76 mm, t = 11 mm; with five longitudinal stiffeners: 210.95 × 10 mm; and with two transverse frames: 421.9 × 10 mm)
Grahic Jump Location
Fig. 7

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.43,αs = 0.52,βs = 20.81,d/L = 0.07

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.43,αs = 0.52,βs = 20.81,d/L = 0.07
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Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.43,αs = 0.52,βs = 20.81,d/L = 0.07
Grahic Jump Location
Fig. 8

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.47,αs = 0.48,βs = 19.05,d/L = 0.08

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.47,αs = 0.48,βs = 19.05,d/L = 0.08
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Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.47,αs = 0.48,βs = 19.05,d/L = 0.08
Grahic Jump Location
Fig. 9

Deflection mode at the ultimate strength level for the model ID1

+Deflection mode at the ultimate strength level for the model ID1
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Deflection mode at the ultimate strength level for the model ID1
Grahic Jump Location
Fig. 10

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.82,αs = 0.27,βs = 10.86,d/L = 0.14

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.82,αs = 0.27,βs = 10.86,d/L = 0.14
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Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 0.82,αs = 0.27,βs = 10.86,d/L = 0.14
Grahic Jump Location
Fig. 11

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.64,αs = 0.14,βs = 5.43,d/L = 0.28

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.64,αs = 0.14,βs = 5.43,d/L = 0.28
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.64,αs = 0.14,βs = 5.43,d/L = 0.28
Grahic Jump Location
Fig. 12

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.27,αs = 0.19,βs = 7.69,d/L = 0.3

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.27,αs = 0.19,βs = 7.69,d/L = 0.3
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.27,αs = 0.19,βs = 7.69,d/L = 0.3
Grahic Jump Location
Fig. 13

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.29,αs = 0.16,βs = 9.54,d/L = 0.3

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.29,αs = 0.16,βs = 9.54,d/L = 0.3
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.29,αs = 0.16,βs = 9.54,d/L = 0.3
Grahic Jump Location
Fig. 14

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.72,αs = 0.23,βs = 5.32,d/L = 0.3

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.72,αs = 0.23,βs = 5.32,d/L = 0.3
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.72,αs = 0.23,βs = 5.32,d/L = 0.3
Grahic Jump Location
Fig. 15

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.27,αs = 0.32,βs = 31.58,d/L = 0.3

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.27,αs = 0.32,βs = 31.58,d/L = 0.3
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.27,αs = 0.32,βs = 31.58,d/L = 0.3
Grahic Jump Location
Fig. 16

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.29,αs = 0.27,βs = 47.46,d/L = 0.3

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.29,αs = 0.27,βs = 47.46,d/L = 0.3
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.29,αs = 0.27,βs = 47.46,d/L = 0.3
Grahic Jump Location
Fig. 17

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.06,αs = 0.90,βs = 296.55,d/L = 0.3

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.06,αs = 0.90,βs = 296.55,d/L = 0.3
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 1.06,αs = 0.90,βs = 296.55,d/L = 0.3
Grahic Jump Location
Fig. 18

Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.54,αs = 0.95,βs = 960.79,d/L = 0.3

+Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.54,αs = 0.95,βs = 960.79,d/L = 0.3
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of average stress-average strain relationships for curved stiffened plate models with βP = 2.54,αs = 0.95,βs = 960.79,d/L = 0.3
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Fig. 19

Idealized distribution of welding residual stresses

+Idealized distribution of welding residual stresses
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Idealized distribution of welding residual stresses
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Fig. 20

General steps in order to produce welding residual stresses inside the analyzed models

+General steps in order to produce welding residual stresses inside the analyzed models
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General steps in order to produce welding residual stresses inside the analyzed models
Grahic Jump Location
Fig. 21

The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.05,d/L = 0.05,βP = 0.4,αs = 0.55,βs = 23.97,σY= 235 MPa, σt= 235 MPa, σc= 192.35 MPa

+The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.05,d/L = 0.05,βP = 0.4,αs = 0.55,βs = 23.97,σY= 235 MPa, σt= 235 MPa, σc= 192.35 MPa
View Large  |  Save Figure  |  Download Slide (.ppt)
The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.05,d/L = 0.05,βP = 0.4,αs = 0.55,βs = 23.97,σY= 235 MPa, σt= 235 MPa, σc= 192.35 MPa
Grahic Jump Location
Fig. 22

The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.1,d/L = 0.3,βP = 2.29,αs = 0.27,βs = 47.45,σY= 235 MPa, σt= 235 MPa, σc= 56.7 MPa

+The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.1,d/L = 0.3,βP = 2.29,αs = 0.27,βs = 47.45,σY= 235 MPa, σt= 235 MPa, σc= 56.7 MPa
View Large  |  Save Figure  |  Download Slide (.ppt)
The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.1,d/L = 0.3,βP = 2.29,αs = 0.27,βs = 47.45,σY= 235 MPa, σt= 235 MPa, σc= 56.7 MPa
Grahic Jump Location
Fig. 23

The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.15,d/L = 0.24,βP = 1.64,αs = 0.27,βs = 41.6,σY= 235 MPa, σt= 235 MPa, σc= 36.42 MPa.

+The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.15,d/L = 0.24,βP = 1.64,αs = 0.27,βs = 41.6,σY= 235 MPa, σt= 235 MPa, σc= 36.42 MPa.
View Large  |  Save Figure  |  Download Slide (.ppt)
The effect of welding residual stresses on the average stress-average strain relationship for the curved stiffened plate model with c/b = 0.15,d/L = 0.24,βP = 1.64,αs = 0.27,βs = 41.6,σY= 235 MPa, σt= 235 MPa, σc= 36.42 MPa.
Grahic Jump Location
Fig. 24

The effect of different types of curvature on the average stress-average strain relationship for the curved stiffened plate model with d/L = 0.3,βP = 2.54,αs = 0.95,βs = 960.79

+The effect of different types of curvature on the average stress-average strain relationship for the curved stiffened plate model with d/L = 0.3,βP = 2.54,αs = 0.95,βs = 960.79
View Large  |  Save Figure  |  Download Slide (.ppt)
The effect of different types of curvature on the average stress-average strain relationship for the curved stiffened plate model with d/L = 0.3,βP = 2.54,αs = 0.95,βs = 960.79

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