Analytic Analysis of Liquid-Filled Membrane Container Resting on Horizontal Foundation with Given Cross-Sectional Volume

수평 지반에 놓인 액체 저장용 막구조물 형상의 단면 체적에 따른 해석적 해

  • Choi, Yoon-Rak (School of Naval Architecture and Ocean Engineering, University of Ulsan)
  • 최윤락 (울산대학교 조선해양공학부)
  • Received : 2011.01.10
  • Accepted : 2011.04.22
  • Published : 2011.04.30


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.


Long membrane container;Analytic approach;Elliptic integral;Similarity solution;Sectional volume


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