Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
권호 표지

An Analytic Solution of the Shape of a Partially Filled, Submerged Membrane Container

수중 유체저장용 막구조물 형상의 이론적 해석

  • Choi, Yoon-Rak (School of Naval Architecture and Ocean Engineering, University of Ulsan)
  • 최윤락 (울산대학교 조선해양공학부)
  • Published : 2008.10.30
Download PDF
⟨ Previous Next ⟩

Abstract

For a partially filled and deeply submersed membrane container, an analytic solution for similarity shape was studied. The static shape of a membrane container can be expressed as a set of nonlinear ordinary differential equations. These equations are combined into an integrable equation. The solution of the equation is derived in terms of elliptic integrals, the arguments of which contain an unknown at the point of inflection. The point of inflection is determined by using the boundary condition at a separating point. Some characteristic values of the similarity shape were evaluated and the shapes are illustrated.

Keywords

References

  1. 최윤락(2007). "경사면에 놓인 유체 저장용 막구조물 형상의 이론적 해석", 한국해양공학회지, 제21권, 제1호, pp 45-50
  2. Cantre, S. (2002). "Ceotextile Tubes-Analytical Design Aspects", Geotextiles and Geomembranes, Vol 20, No 5, pp 305-319 https://doi.org/10.1016/S0266-1144(02)00029-8
  3. Gradshteyn, I.S. and Ryzhik, I.M. (2000). Table of Integrals, Series, and Products, 6th ed., Academic Press
  4. Kee, S.T. (2005a). "Submerged Horizontal and Vertical Membrane Wave Barrier", J. Ocean Eng. and Tech, Vol 19, No 2, pp 1-11
  5. Kee, S.T. (2005b). "Responses of Submerged Double Hull Pontoon/Membrane Breakwater", J. Ocean Eng. and Tech, Vol 19, No 2, pp 19-28
  6. Koerner, R.B. (2000). "Emerging and Future Developments of Selected Geosynthetic Applications", J. Geotech, and Geoenvir. Eng., Vol 126, No 4, pp 293-306 https://doi.org/10.1061/(ASCE)1090-0241(2000)126:4(293)
  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 https://doi.org/10.1061/(ASCE)0733-9410(1996)122:8(682)
  8. Plaut, R.H. and Suherman, S. (1998). "Two-Dimensional Analysis of Geosynthetic Tubes", Acta Mechanica, Vol 129, pp 207-218 https://doi.org/10.1007/BF01176746
  9. Plaut, R.H. and Klusman, C.R. (1999). "Two-Dimensional Analysis of Stacked Geosynthetic Tubes on Deformable Foundation", Thin-Walled Structures, Vol 34, No 3, pp 179-194 https://doi.org/10.1016/S0263-8231(99)00011-7
  10. Restall, S.J., Jackson, L.A, Heerten, G. and Homsey, W.P. (2002). "Case Studies Showing the Growth and Development of Geotextile Sand Containers: An Australian Perspective", Geotextiles and Geomembranes, Vol 20, No 5, pp 321-342 https://doi.org/10.1016/S0266-1144(02)00030-4
  11. Wang C.Y. (2002). "Similarity Shapes of an Inclined, Partially Filled Membrane Container", J. Eng. Mech., Vol 128, No 2, pp 249-251 https://doi.org/10.1061/(ASCE)0733-9399(2002)128:2(249)