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Application of Fluid-Structure Interaction Algorithms to Seismic Analysis

Application of Fluid-Structure Interaction Algorithms to Seismic Analysis. Zuhal OZDEMIR, Mhamed SOULI Université des Sciences et Technologies de Lille Laboratoire de Mécanique de Lille University of Bosphor, Istanbul GDR IFS 3 - 4 Juin 2010 UTC Compiegne. Outline of the Presentation.

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Application of Fluid-Structure Interaction Algorithms to Seismic Analysis

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  1. Application of Fluid-Structure Interaction Algorithms to Seismic Analysis Zuhal OZDEMIR, Mhamed SOULI Université des Sciences et Technologies de Lille Laboratoire de Mécanique de Lille University of Bosphor, Istanbul GDR IFS 3 - 4 Juin 2010 UTC Compiegne

  2. Outline of the Presentation General Objective of the Studies Carried out on Tanks Difficulties in the Analysis of Tanks Analysis Methods forTanks Fluid-Structure Interaction for Tank Problems 2D Rigid Tank 3D Flexible Tank

  3. General Objective of the Studies Carried out on Tanks - Limit the tank damages observed during earthquakes - Determine the response parameters in order to take precautions - sloshing wave height (freeboard) - uplift displacement (flexible attachments for pipes)

  4. Difficulties in the Analysis of Tanks - Three different domains * Structure * Fluid * Soil - Material and geometric nonlinearities - Complex support condition * Anchored * Unanchored

  5. General Performance of Tanks during Earthquakes - Violent sloshing which causes damage at the tank wall and shell - Large amplitude wall deformations (Buckling) - High plastic deformation at the tank base Sloshing damage

  6. Tank Shell Buckling Elephant-Foot Buckling (Elasto-Plastic Buckling) Diamond Shape Buckling (Elastic Buckling)

  7. Ordinary Beam Theory Base Shear and Overturning Moment Shell Stresses (Axial Compressive and Hoop) Analysis Methods forTanks - Simplified Analytical Methods Fluid : Laplace equation Irrotational flow, incompressible and inviscid fluid(potantiaql flow theory) Structure : rigid tank Spring-Mass Equivalent Analogue Most of the provisions recommended in the current tank design codes employ a modified version of Housner’s method

  8. Fluid-Structure Interaction for Tank Problems Structure Fluid Lagrangian Formulation Dynamic Structure equation Navier Stokes equations in ALE Formulation

  9. 2D Tank Problem width = 57 cm height = 30 cm Hwater= 15 cm Sinusoidal harmonic motion non-resonancecase resonancecase The sketch of the 2D sloshing experiment (Liu and Lin, 2008) o = 6.0578 rad/s

  10. 2D Tank Problem Lagrangian

  11. 2D Tank Problem non-resonancecase amplitude = 0.005 m  = 0.583 o resonancecase amplitude = 0.005 m  = 1 o

  12. Maximum ground acceleration = 0.5 g in horizontal direction (El Centro Earthquake record scaled with ) 3D Tank Problem Cylindrical tank size: - radius of 1.83 m - a total height of 1.83 m - filled up to height of 1.524 m

  13. Large mesh Deformation

  14. Large mesh Deformation Lagrangian Method

  15. Coupling Method

  16. Fluid Structure Coupling 2)Euler Lagrange Coupling Structure Fluid

  17. Up Lift for sloshing Tank

  18. 3D Tank Problem Comparisons of the time histories of pressure for the numerical method and experimental data

  19. 3D Tank Problem Comparisons of the time histories of pressure for the numerical method and experimental data

  20. 3D Tank Problem Comparisons of the time histories of surface elevation for the numerical method and experimental data

  21. 3D Tank Problem Comparisons of the time histories of tank base uplift for the numerical method and experimental data

  22. Conclusions (1) ALE algorithm lead highly consisted results with the experimental data in terms of peak level timing, shape and amplitude of pressure and sloshing. (2) Method gives reliable results for every frequency range of external excitation. (3) ALE method combined with/without the contact algorithms can be utilized as a design tool for the seismic analysis of rigid and flexible liquid containment tanks. (4) As a further study, a real size tank will be analysed

  23. Merci

  24. Analysis Methods forTanks (cond) - Numerical Methods * 2D finite difference method * FEM * BEM * Volume of fluid technique (VOF) FEM is the best choice, because -structure, fluid and soil can be modelled in the same system -proper modelling of contact boundary conditions -nonlinear formulation for fluid and structure -nonlinear formulation for fluid and structure interaction effects

  25. 3D Tank Problem Pressure distribution inside the tank

  26. Schematic view of static tilt test A cylindrical tank mounted on the shaking table Analysis Methods forTanks (cond) - Experimental Methods * Static tilt tests * Shaking table tests

  27. 3D Tank Problem Change of free surface in time

  28. 3D Tank Problem Von Mises stresses on the anchored tank shell

  29. 3D Tank Problem Von Mises stresses on the unanchored tank shell (displacements magnified 10 times)

  30. 2D Tank Problem ALE

  31. 2D Tank Problem width = 57 cm height = 30 cm Hwater= 15 cm Sinusoidal harmonic motion non-resonancecase resonancecase The sketch of the 2D sloshing experiment (Liu and Lin, 2008) o = 6.0578 rad/s

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