Free vibration of circular and annular plates with variable thickness and different combinations of boundary conditions
β Scribed by H. Rokni Damavandi Taher; M. Omidi; A.A. Zadpoor; A.A. Nikooyan
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 133 KB
- Volume
- 296
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
In this paper, the first nine frequency parameters of circular and annular plates with variable thickness and combined boundary conditions are computed for different thickness to radius ratios. Several combined boundary conditions are considered for inner and outer edges. These are free, soft and hard simply supported, and clamped boundary conditions. Three-dimensional elasticity theory is used. Results of this paper are compared with works of other authors and the results of finite element method analysis which are in agreement. Data for thick circular and annular plates with linear and parabolic thickness variation and different combinations are presented for the first time.
π SIMILAR VOLUMES
The lower approximate natural frequencies of a spinning circular plate are determined for various boundary conditions. The plate is rotating with constant speed of spin about the axis of symmetry perpendicular to its plane. The boundary conditions treated here are: clamped, simply supported, free an
An approximate method is presented for dealing with transverse vibrations of cirRular plates of variable thickness in the case of supports having rotational flexibility which varies in an arbitrary manner around the boundary. It is also assumed that the plate is subjected to a hydrostatic state of i