Abstract
The response-frequency relationship in the vicinity of a resonant frequency, the occurrence of travelling wave response and the presence of internal resonances are investigated for simply supported, circular cylindrical shells. Donnell’s nonlinear shallow-shell theory is used. The boundary conditions on radial displacement and the continuity of circumferential displacement are exactly satisfied. The problem is reduced to a system of four ordinary differential equations by means of the Galerkin method. The radial deflection of the shell is expanded by using a basis of four linear modes. The effect of internal fluid is also investigated. The equations of motion are studied by using a code based on the Collocation Method. The present model is validated by comparison of some results with others available. A water-filled shell presenting the phenomenon of 1:1:1:2 internal resonances is investigated for the first time; it shows intricate and interesting dynamics.
Original language | English (US) |
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Pages (from-to) | 346-354 |
Number of pages | 9 |
Journal | Journal of Vibration and Acoustics, Transactions of the ASME |
Volume | 122 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2000 |
ASJC Scopus subject areas
- Acoustics and Ultrasonics
- Mechanics of Materials
- Mechanical Engineering