Vibration and critical speed of thin rotating cylindrical shell
A shell is a three-dimensional body that is bounded by two closely-spaced curved surfaces which allow the transmission of applied loads, making it the most efficient structure for bending in any direction for the same cross-sectional area and loading condition. In rotating shells, Coriolis accele...
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| Format: | Final Year Project |
| Language: | English |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10356/17187 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | A shell is a three-dimensional body that is bounded by two closely-spaced curved
surfaces which allow the transmission of applied loads, making it the most efficient
structure for bending in any direction for the same cross-sectional area and loading
condition. In rotating shells, Coriolis acceleration, centrifugal acceleration and the hoop
tension arise due to constant angular velocities, causing qualitative changes in the
structural frequency and critical speed characteristics of the shells. These qualitative
differences are reflected mathematically in the bifurcation of the natural frequencies of
vibration. In this project, with Love-Kirchhoff hypotheses as the basis, the vibration and
critical speed of rotating thin isotropic cylindrical shells using classical Love’s and
Donnell’s shell theories were studied. By constructing trial functions satisfying the given
boundary conditions, the classical Galerkin’s method was employed for the analyses.
Different shell and loading parameters were then investigated before comparisons were
made between these two shell theories. Good agreement with existing results for low
length ratio and circumferential wave number was obtained. Also, rotating thin laminated
composite cylindrical shells were examined. |
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