The upper bound of the fundamental bending frequency of a rotating uniform Timoshenko beam with general elastically restrained root is derived via Rayleigh's principle. Comparing the upper bound with the results in the existing literature and those obtained by the transfer matrix method reveals that
FREQUENCY ANALYSIS OF A ROTATING PLATE WITH EXTERNAL BEAM-SUPPORTS
β Scribed by S.-C. Huang; C.-H. Wu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 275 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
The vibration characteristics of a rotating plate with external, radial beam-supports is studied. A new approach that employs a mixed weighted residual method and the receptance method is introduced. Numerical examples follow to demonstrate the approach and to show the variations of natural frequencies and critical speeds with rotation speed. The results show that the beam-supports can raise some of plate's natural frequencies. The improvement of the first critical speed, however, relies on the number and placement of supports. The beam-supports are further found to introduce additional critical speeds after the first critical speed. Effects on the natural frequencies and critical speeds, due to support stiffness and inertia ratios to the plate, are also discussed. It is shown that higher modes are more sensitive to the supports' properties.
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