Vibration of thin rotating cylindrical shells
Cylindrical shells are widely used in many engineering applications today, and this project examines the characteristics of the cylindrical shells rotating about their longitudinal axis. Using Love-Kirchhoff hypothesis, with the inclusion of Coriolis and centrifugal forces which are pres...
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Format: | Final Year Project |
Language: | English |
Published: |
2011
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Online Access: | http://hdl.handle.net/10356/45093 |
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Institution: | Nanyang Technological University |
Language: | English |
Summary: | Cylindrical shells are widely used in many engineering applications today,
and this project examines the characteristics of the cylindrical shells rotating about
their longitudinal axis.
Using Love-Kirchhoff hypothesis, with the inclusion of Coriolis and
centrifugal forces which are present during rotation, the equations of motion are
formulated for thin isotropic cylindrical shells. Beam functions are used as the
displacement functions of the shells with the following four boundary conditions,
simply supported-simply supported (SS-SS), clamped-clamped (C-C), clamped-simply
supported (C-SS) and free-free (F-F). The result is then combined with
Galerkin’s method to solve for the natural frequencies of the shell.
The frequency characteristics of the shells of different boundary conditions,
rotation speeds, and several geometrical parameters are investigated. In addition, the
parameters affecting the critical rotation speeds at which the shells will buckle are
also examined. |
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