Computational aspects of the ritz method for vibration of shallow shells
The present research deals with the linear, elastic free vibration analysis of thin, moder-ately thick and thick shallow shells. A new derivation of energy functional and method of solution based on the principle of extremum energy are developed. The classical Kirchhoff-Love thin shell theory is emp...
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| Format: | Theses and Dissertations |
| Language: | English |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/10356/19886 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | The present research deals with the linear, elastic free vibration analysis of thin, moder-ately thick and thick shallow shells. A new derivation of energy functional and method of solution based on the principle of extremum energy are developed. The classical Kirchhoff-Love thin shell theory is employed to formulate the strain and kinetic en-ergy expressions for the thin shell studies while the refined first-order and higher-order theories are proposed for the moderately thick and thick shells investigations. |
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