| Type of Document |
Master's Thesis |
| Author |
Kim, Yong Y.
|
| URN |
etd-05122000-14040026 |
| Title |
Flexural-Torsional Coupled Vibration of Rotating Beams Using Orthogonal Polynomials |
| Degree |
Master of Science |
| Department |
Aerospace and Ocean Engineering |
| Advisory Committee |
| Advisor Name |
Title |
| Kapania, Rakesh K. |
Committee Chair |
| Johnson, Eric R. |
Committee Member |
| Nikolaidis, Efstratios |
Committee Member |
|
| Keywords |
- Rotating blade
- Orthogonal polynomials
- Rayleigh-Ritzm method
- Natural frequency
- Felxural-torsional coupled vibration
|
| Date of Defense |
2000-05-01 |
| Availability |
unrestricted |
Abstract
Dynamic behavior of flexural-torsional coupled vibration of rotating beams using the Rayleigh-Ritz method with orthogonal polynomials as basis functions is studied. The present work starts from a review of the development and analysis of four basic types of beam theories: the Euler-Bernoulli, Rayleigh, Shear and Timoshenko and goes over to a study of flexural-torsional coupled vibration analysis using basic beam theories. In obtaining natural frequencies, orthogonal polynomials used in the Rayleigh-Ritz method are studied as an efficient way of getting results. The study is also performed for both non-rotating and rotating beams. Orthogonal polynomials and functions studied in the present work are : Legendre, Chebyshev, integrated Legendre, modified Duncan polynomials, the eigenfunctions of a pinned-free uniform beam, and the special trigonometric functions used in conjunction with Hermite cubics. Studied cases are non-rotating and rotating Timoshenko beams, bending-torsion coupled beam with free-free boundary conditions, a cantilever beam, and a rotating cantilever beam. The obtained natural frequencies and mode shapes are compared to those available in various references and results for coupled flexural-torsional vibrations are compared to both previously available references and with those obtained using NASTRAN finite element package.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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T5012000.pdf |
3.05 Mb |
00:14:07 |
00:07:16 |
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