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A modal approach to second-order analysis of sloshing using boundary element method

Firouz Abadi, R. D ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.oceaneng.2010.05.001
  3. Abstract:
  4. This paper aims at developing a modal approach for the non-linear analysis of sloshing in an arbitrary-shape tank under both horizontal and vertical excitations. For this purpose, the perturbation technique is employed and the potential flow is adopted as the liquid sloshing model. The first- and second-order kinematic and dynamic boundary conditions of the liquid-free surface are used along with a boundary element model which is formulated in terms of the velocity potential of the liquid-free surface. The boundary element model is used to determine the natural mode shapes of sloshing and their corresponding frequencies. Using the modal analysis technique, a non-linear model is presented for the calculation of the first- and second-order potential which can be used to obtain a reduced-order model for the sloshing dynamics. The results of the presented model are verified with the analytical solution for the second-order analysis of sloshing in a rectangular tank and very good results were obtained. Also, the second-order sloshing in some other example tanks with complex bed shapes is studied. The second-order resonance conditions of liquid sloshing in the example tanks are investigated and some conclusions are drawn
  5. Keywords:
  6. Second-order sloshing ; Analysis techniques ; Analytical solutions ; Dynamic boundary conditions ; Free surfaces ; Modal approaches ; Modal technique ; Natural mode shape ; Non-linear model ; Rectangular tank ; Reduced order models ; Resonance condition ; Second order analysis ; Second orders ; Velocity potentials ; Vertical excitation ; Boundary element method ; Modal analysis ; Perturbation techniques ; Tanks (containers) ; Liquid sloshing ; Boundary condition ; Fluid dynamics ; Kinematics ; Numerical model ; Perturbation ; Potential flow ; Resonance
  7. Source: Ocean Engineering ; Volume 38, Issue 1 , Volume 38, Issue 1 , 2011 , Pages 11-21 ; 00298018 (ISSN)
  8. URL: http://www.sciencedirect.com/science/article/pii/S0029801810001174