Transverse vibrations of an annular circular plate with free edges and an intermediate concentric circular support

D. A. VEGA; S. A. VERA; P. A. A. LAURA; R. H. GUTIERREZ; M. E. PRONSATO

JOURNAL OF SOUND AND VIBRATION

Academic Press

Año: 1999 vol. 222 p. 493 - 496

0022-460X

The fundamental frequency of transverse vibration of a solid circular plate with an intermediate circular support and free edge was determined by Bodine in a well known paper [1]. Recently performed calculations [2] have shown that the fundamental frequency coefficients determined in reference [1] do not possess sufficient accuracy from the point of view of modern design needs. The present study deals with the determination of the exact fundamental eigenvalue of transverse vibration of the structural system shown in Figure 1. In order to assess the validity and accuracy of the frequency coefficients* an independent approximate solution was also obtained by means of a variational formulation whereby the displacement amplitude was expressed in terms of polynomial co-ordinate functions which satisfy the essential boundary condition and null bending moment at the outer edges. It is important to point out that the present problem has not, apparently, been considered by other researchers