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

doi:2011.25.2.62

J. Ocean Eng. Technol. > Volume 25(2); 2011 > Article

J. Ocean Eng. Technol. 2011;25(2):62-66.
DOI: https://doi.org/10.5574/KSOE.2011.25.2.062

Choi Yoon-Rak

School of Naval Architecture and Ocean Engineering University of Ulsan

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

최윤락

울산대학교 조선해양공학부

Keywords: Long membrane container, Analytic approach, Elliptic integral, Similarity solution, Sectional volume

핵심용어: 긴 저장용 막구조물, 해석적 방법, 타원적분, 상사해, 단면 체적

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.