Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
권호 표지

An Analytic Solution of the Shape of an Inclined, Partially Filled Membrane Container

경사면에 놓인 유체 저장용 막구조물 형상의 이론적 해석

  • Choi, Yoon-Rak (School of Naval Architecture and Ocean Engineering, University of Ulsan)
  • 최윤락 (울산대학교 조선해양공학부)
  • Published : 2007.02.28
Download PDF
⟨ Previous Next ⟩

Abstract

For a long partially-filled membrane container on an incline, the analytic solution of the similarity shape is studied. The nonlinear equation is solved and its solution is expressed as elliptic integrals, which include an unknown at the point of inflection. The point of inflection is determined by using the boundary condition at the upper separating point. Some characteristic values of the universal shape are evaluated, as the functions of inclination angle and shapes are illustrated for some cases.

Keywords

References

  1. Cantre, S. (2002). 'Geotextile Tubes-Analytical Design Aspects', Geotextiles and Geomembranes, Vol 20, No 5, pp 305-319 https://doi.org/10.1016/S0266-1144(02)00029-8
  2. Carlson, B.C. and Gustafson, J.L. (1985). 'Asymptotic Expansion of the First Elliptic Integral', SIAM J. Math Anal., Vol 16, No 5, pp 1072-1092 https://doi.org/10.1137/0516080
  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. Ceotech, 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 Hornsey, 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. and Watson, L.T. (1981). 'The Fluid-Filled Cylindrical Membrane Container', J. Eng. Math., Vol 15, No 2, pp 81-88 https://doi.org/10.1007/BF00052512
  12. 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)