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논문

수중 유체저장용 막구조물 형상의 이론적 해석

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

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주제분류해양공학

초록

For a partially filled and deeply submerged 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.

Abstract

For a partially filled and deeply submerged 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.

참고문헌 (11)

  1. 최윤락, "경사면에 놓인 유체 저장용 막구조물 형상의 이론적 해석", 한국해양공학회지, 21(1), pp.45~50 (2007), 한국해양공학회
  2. Cantre, S., "Ceotextile Tubes-Analytical Design Aspects", Geotextiles and Geomembranes, 20(5), pp.305~319 (2002)
  3. Gradshteyn, I.S., "Table of Integrals, Series, and Products, 6th ed." (2000), Academic Press
  4. Kee, S.T., "Submerged Horizontal and Vertical Membrane Wave Barrier", J. Ocean Eng. and Tech, 19(2), pp.1~11 (2005)
  5. 기성태, "Responses of Submerged Double Hull Pontoon", Membrane Breakwater, 2005, pp.19(2), 19~28[DOI]
  6. Koerner, R.B., "Emerging and Future Developments of Selected Geosynthetic Applications", J. Geotech, and Geoenvir. Eng., 126(4), pp.293~306 (2000)
  7. Leshchinsky, D., "Geosynthetic Tubes for Confining Pressurized Slurry: Some Design Aspects", J. Geotech. Eng., 122(8), pp.682~690 (1996)
  8. Plaut, R.H., "Two-Dimensional Analysis of Geosynthetic Tubes", Acta Mechanica, 129, pp.207~218 (1998)
  9. Plaut, R.H., "Two-Dimensional Analysis of Stacked Geosynthetic Tubes on Deformable Foundation", Thin-Walled Structures, 34(3), pp.179~194 (1999)
  10. Restall, S.J., "Case Studies Showing the Growth and Development of Geotextile Sand Containers: An Australian Perspective", Geotextiles and Geomembranes, 20(5), pp.321~342 (2002)
  11. Wang C.Y., "Similarity Shapes of an Inclined, Partially Filled Membrane Container", J. Eng. Mech., 128(2), pp.249~251 (2002)

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