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Analytic Analysis of Liquid-Filled Membrane Container Resting on Horizontal Foundation with Given Cross-Sectional Volume
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 Title & Authors
Analytic Analysis of Liquid-Filled Membrane Container Resting on Horizontal Foundation with Given Cross-Sectional Volume
Choi, Yoon-Rak;
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 Abstract
In this paper, a liquid-filled long membrane container resting on a horizontal foundation is considered. All of the quantities are normalized to obtain similarity solutions. A system of nonlinear ordinary differential equations with undetermined boundary conditions is solved analytically. The integration of the curvature gives the solutions, which are expressed in terms of the elliptic integrals. A method for finding the shape and characteristic values is proposed for a given cross-sectional volume. The validity of these solutions is confirmed, and some results are shown for characteristic values and shapes.
 Keywords
Long membrane container;Analytic approach;Elliptic integral;Similarity solution;Sectional volume;
 Language
Korean
 Cited by
 References
1.
최윤락 (2007). "경사면에 놓인 유체 저장용 막구조물의 이론적 해석", 한국해양공학회지, 제21권, 제1호, pp 45-50.

2.
최윤락 (2008). "수중 유체저장용 막구조물 형상의 이론적 해석", 한국해양공학회지, 제22권, 제5호, pp 39-43.

3.
최윤락 (2009). "부유식 유체저장용 2차원 막구조물의 이론적 해석", 한국해양공학회지, 제23권, 제4호, pp 32-37.

4.
Demiray, H. and Levinson, M. (1972). "The Long Fluid Storage Bag: A Contact Problem for a Closed Membrane", Int. J. Mech. Sci., Vol 14, No 7, pp 431-439. crossref(new window)

5.
Ghavanloo, E. and Daneshmand, F. (2009). "A Semi-Analytic Approach for the Nonlinear Two-Dimensional Analysis of Fluid-Filled Thin-Walled Pliable Membrane Tubes", Eur. J. Mech. A-Solid., Vol 28, No 3, pp 626-637. crossref(new window)

6.
Gradshteyn, I.S. and Ryzhik, I.M. (2000). Table of Integrals, Series, and Products, 6th ed., Academic Press.

7.
Leshchinsky, D., Leshchinsky, O., Ling, H.I. and Gilbert, P.A. (1996). "Geosynthetic Tubes for Confining Pressurized Slurry: Some Design Aspects", J. Geotech. Eng., Vol 122, No 8, pp 682-690. crossref(new window)

8.
Liu, G.S. and Silvester, R. (1977). "Sand Sausages for Beach Defence Work", Proc. 6th Australasian Hydraulics and Fluid Mechanics Conf., pp 340-343.

9.
Koerner, R.B. (2000). "Emerging and Future Developments of Selected Geosynthetic Applications", J. Geotech. Geoenviron., Vol 126, No 4, pp 293-306. crossref(new window)

10.
Malik, J. (2009). "Some Problems Connected with 2D Modeling of Geosynthetic Tubes", Nonlinear Anal-Real., Vol 10, No 2, pp 810-823. crossref(new window)

11.
Maplesoft (2003). Maple 9 Learning Guide, Waterloo Maple Inc.

12.
Plaut, R.H. and Suherman, S. (1998). "Two-dimensional Analysis of Geosynthetic Tubes", Acta Mech., Vol 129, No 3-4, pp 207-218. crossref(new window)

13.
Restall, S.J., Jackson, L.A., Heerten, G. and Hornsey, W.P. (2002). "Case Studies Showing the Growth and Development of Geotextile Sand Containers: An Australian Perspective", Geotext. Geomembranes, Vol 20, No 5, pp 321-342. crossref(new window)

14.
Wang, C.Y. and Watson, L.T. (1981). "The Fluid-Filled Cylindrical Membrane Container", J. Eng. Math., Vol 15, No 2, pp 81-88. crossref(new window)