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J. Ocean Eng. Technol. 2009;23(4):32-37.    

An Analytic Analysis for a Two-Dimensional Floating and Fluid-Filled Membrane Structure
Choi Yoon-Rak
School of Naval Architecture and Ocean Engineering University of Ulsan
부유식 유체저장용 2차원 막구조물의 이론적 해석
최윤락
울산대학교 조선해양공학부
© 2009 The Korean Society of Ocean Engineers     Open access / Under a Creative Commons License
Keywords: Floating membrane structure, Analytic solution, Elliptic integrals
핵심용어: 부유식 막구조물, 해석적 해, 타원적분
Abstract
An analytic similarity shape solution was studied for a two-dimensional floating and fluid-filled membrane structure. The static shape of a membrane structure can be expressed as a set of nonlinear ordinary differential equations. The integration of curvature leads to an analytic solution for the shape, which contains unknown boundary values. Matching the upper and lower shapes at the free surface incorporated with their buoyancy allowed the unknowns to be determined. Some characteristic values of similarity shapes were evaluated and shapes are illustrated for various density ratios and volume efficiency ratios.


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