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Analysis of Sloshing Frequency Response in Rectangular Fuel-Storage Tank  

조진래 (부산대학교 기계기술연구소)
이홍우 (부산대학교 대학원 기계설계공학과)
하세윤 (부산대학교 대학원 기계설계공학과)
박태학 (국방과학연구소)
이우용 (국방과학연구소)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.16, no.1, 2003 , pp. 95-104 More about this Journal
Abstract
This paper deals with the analytic and FEM analyses of sloshing frequency response of incompressible, invicid and irrotational flow in two dimensional rectangular tank. We use Laplace equation based on potential theory as governing equation. For small amplitude sloshing motion, the linearized free surface condition was applied and the analytic solution as obtained by the separation of variables. To simulate the effect of the energy dissipation due to viscous damping, artificial viscous coefficient is introduced and the divergence of response at resonance frequencies may be avoided by this coefficient. This problem was solved by FEM using 9-node elements in order to predict the maximum amplitude of sloshing response. Numerical results of free surface height, fluid pressure and fluid force show good agreement with those by analytic solution. After verifying the test FEM program, we analyze the frequency response characteristics of sloshing to the fluid height.
Keywords
sloshing; Laplace equation; frequency response; resonance; fundamental frequency; artificial viscous coefficient;
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