The present paper reports the results from a series of numerical experiments dealing with the determination of the lower natural frequencies for the transverse vibration of annular membranes (including the special case of a solid circular membrane) when the mass per unit area varies linearly, quadra
AXISYMMETRIC VIBRATION OF CIRCULAR AND ANNULAR PLATES WITH ARBITRARILY VARYING THICKNESS
โ Scribed by D.Y. Chen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 171 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-460X
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๐ SIMILAR VOLUMES
The Ritz method is applied in a three-dimensional (3-D) analysis to obtain accurate frequencies for thick circular and annular plates. The method is formulated in a manner which allows one to have any combination of free or fixed plate boundaries. Admissible functions for the three displacement comp
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
The title problem is solved using very simple polynomial co-ordinate functions and a variational approach. Rather general boundary conditions are assumed at the edge support. It is shown that the approach is valid jor axi-and antisymmetric modal configurations.