AXISYMMETRIC VIBRATION OF A CIRCULAR PLATE WITH EXPONENTIAL THICKNESS VARIATION
β Scribed by B. Singh; V. Saxena
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 315 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
β¦ Synopsis
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 values of the parameter controlling the thickness variation. Convergence is ensured by working out a sufficient number of approximations. Comparison has been made with existing results for uniform thickness and linearly varying thickness.
π SIMILAR VOLUMES
The transverse vibrations of a rectangular plate of variable thickness have been investigated with different combinations of boundary conditions at the four edges. The thickness variation is bidirectional and is the cartesian product of linear variations along two concurrent edges of the plate. Succ
The study of the dynamic behaviour of circular plates with stepped thickness is of interest in view of their use in the construction of high frequency transducers. A simple analytical approach which allows for the prediction of their natural frequencies is proposed in the present Note.