The response-frequency relationship in the vicinity of a resonant frequency, the occurrenceof travelling wave response and the presence of internal resonances are investigatedfor simply supported, circular cylindrical shells. Donnell’s nonlinear shallow-shelltheory is used. The boundary conditions on radial displacement and the continuity ofcircumferential displacement are exactly satisfied. The problem is reduced to a system offour ordinary differential equations by means of the Galerkin method. The radial deflectionof the shell is expanded by using a basis of four linear modes. The effect of internalfluid is also investigated. The equations of motion are studied by using a code based onthe Collocation Method. The present model is validated by comparison of some resultswith others available. A water-filled shell presenting the phenomenon of 1:1:1:2 internalresonances is investigated for the first time; it shows intricate and interesting dynamics.
|Anno di pubblicazione:||2000|
|Titolo:||Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Cylindrical Shells. Part I: Equations of Motion and Numerical Results|
|Autori:||M. AMABILI; F. PELLICANO; A. F. VAKAKIS|
|Appare nelle tipologie:||Articolo su rivista|
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