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On the solution of a natural vibration of cylindrical shells in interaction with flowing fluid
Zolotarev, Igor ; Pelletier, D.
The present paper is a contribution to the solution of a natural vibration of circular cylindrical shells in interaction with flowing inviscid fluid. The mathematical model of the studied system contains general boundary conditions of the shell for ends clamped elastically and allows to use the method of solution are based on the [1,2,4,5]. A new more accurately algorithm for calculation of the action of flowing fluid on the vibrating surface of the shell and frequency-modal properties of the studied system there are presented. Obtained results correspond to the earlier calculations of the natural frequencies and its variations on the flow velocities [4,5].
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Numerical calculation of natural frequencies of an elastic sphere containing a compressible fluid
Zolotarev, Igor
The numerical calculation of natural frequencies of a spherical shell with an acoustical medium is studied in this paper as an approximation of the human skull. The elastic sphere is described by using thin shell theory and, in general, a compressible inviscid fluid, that is considered in the inside of the vibrating shell. The dynamic characteristics such as the natural frequencies and the modes of vibration are analysed as functions of the geometrical and physical parameters of the studied system. The problem of numerical calculations of the multiple natural frequencies of an elastic sphere and the coupling effect of the sphere and compressible fluid are discussed.
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Interaction of a spherical shell surrounded by an acoustical medium
Zolotarev, Igor
The interaction problem of a spherical shell with an acoustical medium is studied as some approximation of the human skull. The elastic sphere is described by using the thin shell theory and, in general, a compressible inviscid fluid that is considered on the inside of the vibrating shell. The dynamic characteristics such as the natural frequencies and the modes of vibration are analysed as functions of the geometrical and physical parameters of the studied system. The coupling of the elastic sphere and the acoustic medium are presented by use variations of the natural frequencies on the wave parameter and the influence of fluid on these variations.
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