AXISYMMETRIC VIBRATION OF STEPPED ANNULAR PLATES

Document Type : Original Article

Author

Assistant Frof.,Mechanical Design Dept.,Faculty of Engineering and Technology,Helwan University,Cairo,Egypt.

Abstract

Free axisymmetric vibrations of annular stepped plates have been studied on the basis of the classical theory of plates. Applying the uniform plate solution to each zone of different thickness; considering the continuity and boundary conditionslyielda a system of eight equations. Frequency determinants of such plates,with diff-erent step radii, are derived for various combinations of boundary conditions. Consequently the values of the resonant frequencies of the first two symmetric modes are calculated. Different graphs are included to facilitate the use of this material for design purpose.

Keywords