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Journal of Offshore Mechanics and Arctic Engineering | Volume 134 | Issue 1 | Ocean Engineering
Ocean Engineering

Hydroelastic Behaviors of VLFS Supported by Many Aircushions With the Three-Dimensional Linear Theory

[+] Author and Article Information
Tomoki Ikoma

Department of Oceanic Architecture and Engineering, College of Science and Technology, Nihon University, 7-24-1 Narashinodai, Funabashi, Chiba 274-8501, Japanikoma.tomoki@nihon-u.ac.jp

Koichi Masuda

Department of Oceanic Architecture and Engineering, College of Science and Technology, Nihon University, 7-24-1 Narashinodai, Funabashi, Chiba 274-8501, Japanmasuda.koiichi@nihon-u.ac.jp

Chang-Kyu Rheem

Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japanrheem@iis.u-tokyo.ac.jp

Hisaaki Maeda

Department of Oceanic Architecture and Engineering, College of Science and Technology, Nihon University, 7-24-1 Narashinodai, Funabashi, Chiba 274-8501, Japanmaedah@iis.u-tokyo.ac.jp

J. Offshore Mech. Arct. Eng 134(1), 011104 (Oct 17, 2011) (8 pages) doi:10.1115/1.4003697 History: Received May 24, 2010; Revised November 29, 2010; Published October 17, 2011; Online October 17, 2011
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References
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Citing Articles

This paper describes hydroelastic motion and effect of motion reduction of large floating structures in head sea conditions, supported by aircushion. Motion reduction effects, appearing due to the presence of aircushions, have been confirmed through theoretical calculations with the zero-draft assumption. Three-dimensional prediction method has been developed for evaluating draft influence of division walls of aircushions. Using three-dimensional theoretical calculations, authors have investigated whether hydroelastic motion reduction is possible or not. Next, aircushion type bodies were supported by multiple aircushions, which are smaller in size than the wavelengths. Green’s function method within the linear potential theory was applied for prediction of hydrodynamic forces and wave excitations, in which the effect of free water surface between aircushions was considered. Hydroelastic responses were estimated not only in terms of elastic motion, but also in terms of vertical bending moment. The results confirmed the existence of response reduction, especially noticeable for the vertical bending moment in a wide wavelength range and in the whole structure area.
Copyright © 2012 by American Society of Mechanical Engineers
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References

1
Pinkster, J. A., Fauzi, A., Inoue, Y., and Tabeta, S., 1998, “The Behaviour of Large Air Cushion Supported Structures in Waves,” "Proceedings of the Hydroelasticity ’98/Hydroelasticity in Marine Technology", pp. 497–505.
2
Pinkster, J. A., and Meevers Scholte, E. J. A., 1999, “The Behaviour of a Large Air-Supported MOB at Sea,” "Proceedings of the Third International Workshop on Very Large Floating Structures, VLFS ’99", Vol. II , pp. 567–576.
3
Lee, C. H., and Newman, J. N., 1999, “Wave Effects on Large Floating Structures With Air Cushions,” "Proceedings of the Third International Workshop on Very Large Floating Structures, VLFS ’99", Vol. I , pp. 139–148.
4
Kessel, J. L. F., and Pinkster, J. A., 2006, “The Behaviour of Different Types of Aircushion Supported Structures,” "Proceedings of the Hydroelasticity in Marine Technology", Wuxi, China, pp. 51–63.
5
Van Kessel, J. L. F., and Pinkster, J. A., 2007, “Wave-Induced Structural Loads on Different Types Aircushion Supported Structures,” "Proceedings of the ISOPE International Conference 2007", ISOPE, Cupertino, CA, Paper No. JSC-511.
6
Van Kessel, J. L. F., 2008, “Tuning the Air Pressure of Aircushion Supported Structures at Model Scale,” "Proceedings of the ISOPE International Conference 2008", ISOPE, Cupertino, CA, Paper No. TPC-426.
7
Van Kessel, J. L. F., 2008, “Numerical and Experimental Study on Aircushion Supported Structures,” "Proceedings of the 21st International Conference on OMAE’08", ASME, New York, Paper No. OMAE2008-57884.
8
Ikoma, T., Masuda, K., Maeda, H., and Rheem, C. K., 2002, “Hydroelastic Behavior of Air-Supported Flexible Floating Structures,” "Proceedings of the 21st International Conference on OMAE’02", ASME, New York, Paper No. OSU-28090.
9
Ikoma, T., Masuda, K., Rheem, C. K., and Maeda, H., 2005, “Three-Dimensional Analysis of Hydroelastic Behaviors of an Aircushion Type Large Floating Structure,” "Proceedings of the 24th International Conference on OMAE’05", ASME, New York, Paper No. OMAE2005-67057.
10
Ikoma, T., Masuda, K., Rheem, C. K., and Maeda, H., 2006, “Response Reduction of Motion and Steady Wave Drifting Forces of Floating Bodies Supported by Aircushions in Regular Waves,” "Proceedings of the 25th International Conference on OMAE’06", ASME, New York, Paper No. OMAE2006-92072.
11
Ikoma, T., Masuda, K., Rheem, C. K., and Maeda, H., 2007, “Response Reduction of Motion and Steady Wave Drifting Forces of Floating Bodies Supported by Aircushions in Regular Waves,” "The Second Report Response Characteristics in Oblique Waves", "Proceedings of the 26th International Conference on OMAE’07", ASME, New York, Paper No. OMAE2007-29472.
12
Ikoma, T., Kobayashi, M., Masuda, K., Rheem, C. K., and Maeda, H., 2008, “A Prediction Method of Hydroelastic Motion of Aircushion Type Floating Structures Considering With Draft Effect Into Hydrodynamic Forces,” "Proceedings of the 27th International Conference on OMAE’08", ASME, New York, Paper No. OMAE2008-57185.
13
Wehausen, J. V., and Laitone, E. V., 1960, “Surface Waves,” "Handbook of Physics", Springer, Berlin, Vol. 9 , pp. 446–778.

Figures

Grahic Jump Location
+Aircushion arrangement of aircushion Type A
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Aircushion arrangement of aircushion Type A
Figure 3

Aircushion arrangement of aircushion Type A

Grahic Jump Location
+Aircushion arrangement of aircushion Type B
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Aircushion arrangement of aircushion Type B
Figure 4

Aircushion arrangement of aircushion Type B

Grahic Jump Location
+Aircushion arrangement of aircushion Type C
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Aircushion arrangement of aircushion Type C
Figure 5

Aircushion arrangement of aircushion Type C

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+Section of aircushion types and definition of skirt draft
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Section of aircushion types and definition of skirt draft
Figure 6

Section of aircushion types and definition of skirt draft

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=9.0, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=9.0, on y=0
Figure 15

Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=9.0, on y=0

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=10.0, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=10.0, on y=0
Figure 16

Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=10.0, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=4.45, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=4.45, on y=0
Figure 17

Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=4.45, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=6.67, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=6.67, on y=0
Figure 18

Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=6.67, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=6.67, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=6.67, on y=0
Figure 23

Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=6.67, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=7.91, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=7.91, on y=0
Figure 24

Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=7.91, on y=0

Grahic Jump Location
+Coordinate system
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Coordinate system
Figure 1

Coordinate system

Grahic Jump Location
+Basic horizontal plane for all pontoon types and all aircushion types
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Basic horizontal plane for all pontoon types and all aircushion types
Figure 2

Basic horizontal plane for all pontoon types and all aircushion types

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=4.45, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=4.45, on y=0
Figure 7

Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=4.45, on y=0

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=6.67, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=6.67, on y=0
Figure 8

Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=6.67, on y=0

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=7.91, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=7.91, on y=0
Figure 9

Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=7.91, on y=0

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=9.0, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=9.0, on y=0
Figure 10

Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=9.0, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=9.0, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=9.0, on y=0
Figure 20

Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=9.0, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=10.0, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=10.0, on y=0
Figure 21

Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=10.0, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=4.45, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=4.45, on y=0
Figure 22

Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=4.45, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=9.0, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=9.0, on y=0
Figure 25

Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=9.0, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=10.0, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=10.0, on y=0
Figure 26

Comparison of vertical bending moment of models with D=1.52×1010 N m, L/λ=10.0, on y=0

Grahic Jump Location
+Singular integral regions of circle and others planes
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Singular integral regions of circle and others planes
Figure 27

Singular integral regions of circle and others planes

Grahic Jump Location
+Variation of radius rn to apply asymptotic function of K0
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Variation of radius rn to apply asymptotic function of K0
Figure 28

Variation of radius rn to apply asymptotic function of K0

Grahic Jump Location
+Difference of minute circle area and analytical singular integral area
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Difference of minute circle area and analytical singular integral area
Figure 29

Difference of minute circle area and analytical singular integral area

Grahic Jump Location
+Numerical integration of side panels
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Numerical integration of side panels
Figure 30

Numerical integration of side panels

Grahic Jump Location
+Variation of radius rn to apply asymptotic function of K0
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Variation of radius rn to apply asymptotic function of K0
Figure 31

Variation of radius rn to apply asymptotic function of K0

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=10.0, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=10.0, on y=0
Figure 11

Comparison of vertical displacement of models with D=1.52×1011 N m, L/λ=10.0, on y=0

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=4.45, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=4.45, on y=0
Figure 12

Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=4.45, on y=0

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=6.67, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=6.67, on y=0
Figure 13

Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=6.67, on y=0

Grahic Jump Location
+Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=7.91, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=7.91, on y=0
Figure 14

Comparison of vertical displacement of models with D=1.52×1010 N m, L/λ=7.91, on y=0

Grahic Jump Location
+Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=7.91, on y=0
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=7.91, on y=0
Figure 19

Comparison of vertical bending moment of models with D=1.52×1011 N m, L/λ=7.91, on y=0

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