On the Vibration of Thick Annular Plates
The vibrations of thick annular plates with various boundary conditions on the inner and outer boundaries are treated by several methods. One method is the well known Mindlin Plate Theory in which the effects of shear and rotary inertia are included. Another approximate method, which is slightly more accurate than the Mindlin Plate method, is a modification of a method first proposed by Pickett. The modified Pickett method is developed for annular plates and compared to correct solutions of the Mindlin Plate Theory. An exact solution for the special case of free boundaries is also compared to the two approximate methods. Both approximate methods are shown to work reasonably well and numerical comparisons are given for the two approximate methods for a variety of boundary conditions.
KeywordsOuter Boundary Circular Plate Rotary Inertia Annular Plate Flexural Vibration
Unable to display preview. Download preview PDF.
- 4.Pickett, G., “Flexural Vibrations of Unrestrained Cylinders and Disks” Journal of Applied Physics, Vol.-16, 1945, pp 820–831.Google Scholar
- 8.Hutchinson, J.R., “On the Axisymmetric Vibrations of Thick Clamped Plates” Proceedings of the International Conference on Vibration Problems in Engineering, Xi’an, China, June 19–22, 1986, pp 75–81.Google Scholar
- 10.El-Azhari, S.A., “Vibrations of Free Hollow Circular Cylindrical Bodies,” dissertation submitted to University of California, Davis in partial fulfillment of Ph.D. requirement. December 1984.Google Scholar
- 11.Hutchinson, J.R. and Et-Azhari, S.A., “Vibrations of Free Hollow Circular Cylinders,” ASME Paper No. 86-WA/APM-28, 1986, (to appear in the Journal of Applied Mechanics).Google Scholar