In this thesis, free vibration of beam structures with initial load is analyzed. It is based on the theory of elasticity and the formulation is derived by finite element method. The present method is different from traditions beam theories and is able to simulate beam vibration more precisely. The free vibration frequencies of beams under initial axial loading and different boundary conditions and geometrical aspect ratios are solved first and compared with those of Timoshenko beam theory. Vibration of beams with initial lateral loading is then analyzed, considering only the initial stresses and both the initial stresses and the initial displacements induced by the initial loading, to reveal the effect of initial stresses and initial displacement on vibration of beams with initial loading.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0908109-225929 |
| Date | 08 September 2009 |
| Creators | Chen, Hsin-an |
| Contributors | Ming-hua Jen, Chung-fu Liu, Hsueh-chien Wu |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | Cholon |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0908109-225929 |
| Rights | withheld, Copyright information available at source archive |
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