Содержание
- 2. A.N. Podgorny Institute of Mechanical Engineering Problems, National Academy of Sciences, Ukraine kharkov
- 3. CONTENTS Introduction and problem statement Mode superposition method for coupled dynamic problems Systems of the boundary
- 4. A. Podgorny Institute of Mechanical Engineering Problems The A.N.Podgorny Institute for Mechanical Engineering Problems of the
- 5. LIQUID FILLED SHELLS
- 6. PROBLEM STATEMENT with the next set of boundary conditions relative to ϕ w=(U,n) fixation conditions of
- 7. BOUNDARY CONDITIONS ON ELASTIC AND RIGID SURFACES HARMONIC VIBRATIONS
- 8. MODE DECOMPOSITION METHOD FOR COUPLED DYNAMIC PROBLEMS Displacements are linear combination of structure natural modes without
- 9. BOUNDARY VALUE PROBLEM FOR POTENTIAL POTENTIAL DEFINES ELASTIC WALL VIBRATIONS second system of basic functions Boundary
- 10. Boundary value problem for velocity potential third system of basic functions representation for velocity potential harmonic
- 11. SPRING- PENDULUM ANALOGY
- 12. Three systems of basic functions At first we obtain the natural modes and frequencies of structure
- 13. EIGENVALUE PROBLEM fWfe uFOR HARMONIC VIBRATIONS WE HAVE se the We use the direct BEM formulation
- 14. FIRST AND SECOND BASIC FUNCTIONS
- 15. VIBRATIONS OF RECTANGULAR PLATES MODES OF VIBRATIONS
- 16. VIBRATIONS OF SECTORIAL PLATES MODES OF VIBRATIONS
- 17. VIBRATIOBS OF FRANSIS TURBINE Without added liquid masses With added liquid masses
- 18. FRANSIS TURBINE MODES OF VIBRATIONS
- 19. Free vibrations of liquid in rigid shells. Boundary value problem. Third system of basic functions.
- 20. Singular boundary method THIRD GREEN’S IDENTITY
- 21. ONE-DIMENSIONAL BOUNDARY ELEMENTS
- 22. Singular boundary method
- 23. Origin intensity factors
- 24. Origin intensity factors
- 25. REDUCING TO ELLIPTICAL INTEGRALS
- 26. The system of integral equations Notations The natural modes (third system of basic functions) and eigenvalues
- 27. First five eigenmodes for cylindrical shell with different bottoms using BEM and SBM
- 28. VALIDATION OF SINGULAR BOUNDARY METHOD
- 29. Vibrations of compound cylindrical-spherical elastic shells fluid-filled elastic shell composed of a cylindrical part bounded by
- 30. FREE SURFACE VIBRATIONS IN DIFFEREBT SHELLS
- 31. BAFFLED SHELLS
- 32. INFLUENCE OF BAFFLES ON SLOSHING AMPLITUDES
- 33. VERTICAL EXCITATIONS
- 34. VERTICAL EXCITATIONS
- 35. Ince-Strutt diagram
- 36. Free surface elevation without (a) and with (b) longitudinal excitations (a) (b)
- 37. LIQUID VIBRATIONS IN DIFFERENT FUEL TANKS
- 38. Thank you very much for your attention
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