The Rayleigh-Ritz method has been used to find the first four frequencies, mode shapes and nodal radii for axisymmetric vibration of a circular plate when the thickness varies exponentially with the radial distance. Results are given for a clamped as well as simply supported boundary for various val
AXISYMMETRIC STRAINING MODES IN THE VIBRATION OF CIRCULAR PLATES
โ Scribed by C.F. Liu; Y.T. Lee
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 183 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Axisymmetric straining modes, which are different from the axisymmetric flexural modes of vibrating circular plates and cannot be revealed by conventional plate theory-based approaches, are investigated in the present study. Mode shapes of an example problem with clamped and four different simply-supported boundary conditions are presented to show what straining modes may look like. The straining modes are classified into three types and a criterion is set up to predict the appearance of straining modes. Some observations about straining modes are obtained and discussions are made. Results for different Poisson ratios are also shown.
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