Axisymmetric Vibration of Stepped Annular Plates

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 conditions l yielda a system of eight equations. Frequency determinants of such plates,with different 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. • 7 • 1 KEYWORDS Transvers vibrationi annular plates9 stepped circular plates,boundary conditions,natural frequency issymmetric model.

Axisymmetric Vibration of Stepped Circular Plates With Elastically Built-in Boundary Condition

“…These values are obtained by substituting in eqn. (2) with the given material data E, p v , geometric parameters h, a and with the eigenvalues of mn [4] . Consequently, the results obtained can be considered excellent.…”

“…The previous paper [2] has aimed to obtain the frequency of symmetric modes of the stepped circular plates for each of clamped and simply supported boundary conditions.…”