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.

Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Cylindrical Shells. Part I: Equations of Motion and Numerical Results / M., Amabili; Pellicano, Francesco; A. F., Vakakis. - In: JOURNAL OF VIBRATION AND ACOUSTICS. - ISSN 1048-9002. - STAMPA. - 122:(2000), pp. 346-354.

Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Cylindrical Shells. Part I: Equations of Motion and Numerical Results

PELLICANO, Francesco;
2000

Abstract

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.
122
346
354
Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Cylindrical Shells. Part I: Equations of Motion and Numerical Results / M., Amabili; Pellicano, Francesco; A. F., Vakakis. - In: JOURNAL OF VIBRATION AND ACOUSTICS. - ISSN 1048-9002. - STAMPA. - 122:(2000), pp. 346-354.
M., Amabili; Pellicano, Francesco; A. F., Vakakis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/456449
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