INFLUENCE OF THE POISSON RATIO ON THE NATURAL FREQUENCIES OF STEPPED-THICKNESS CIRCULAR PLATE

The natural frequencies of simply supported and clamped, stepped-thickness plates are determined using classical plate solutions with exact continuity conditions at the step. The effect of incorporating the Poisson ratio in the continuity conditions on the natural frequencies for nodal diameters, 0, 1 and nodal interior circle numbers 0, 1, 2 is thoroughly investigated. For engineering applications, a design criterion is proposed for simply supported and clamped plates based on an approximate linear model for the natural frequencies. The literature lacks experimental results on this type of plates. Hence, in this paper experimental results are presented for four models with two Poissonʹs ratios and prove their consistency with the proposed criterion.