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Modelling of Fluid and Solid Interaction in Elastic Tank Using Nonlinear Second Order ROM (Reduced Order Model)

Roghangaran, Reza | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40172 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Haddadpour, Hassan; Dehghani Firouz-abadi, Rouhallah
  7. Abstract:
  8. This M.Sc thesis aims at studding system of fluid and solid interaction. Based on the potential flow assumption along with using the perturbation technique, the governing kinematic and dynamic boundary conditions of the first- and second-order velocity potential are derived. Then, a boundary element model is developed for the sloshing dynamics 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 nonlinear model is represented for calculation of the first- and second-order potential which can be used to obtain a reduced-order model for the sloshing dynamics. The structure of tank is modeled using FEM and modal analysis technique is used for structural modeling of the tank. The structural modal equations are combined with the equations of liquid motion to obtain the governing equations of the coupled fluid–structure system. The results of the presented model are verified with analytical solution for second-order analysis of sloshing in a rectangular and cylinderical tank and very good results are obtained. Also, the second-order sloshing in two other example tanks with complex bed shapes is studied and some conclusions are drawn.

  9. Keywords:
  10. Perturbation Method ; Boundary Element Method ; Reduced Order Model ; Finite Element Method ; Fluid-Structure Interaction

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