RELATIONSHIP OF MAXIMUM DEFLECTIONS AND NATURAL FREQUENCIES VIBRATIONS OF ISOTROPIC CIRCULAR PLATES WITH INHOMOGENEOUS RESISTANCE CONDITIONS ON THE OUTER AND INNER CONTOUR

Abstract

We consider the relationship between the maximum deflections from a static uniformly distributed load W0 and the basic frequency of proper transverse vibrations of an annular isotropic plate under inhomogeneous support conditions along the outer and inner contour, depending on the ratio of the radius of the inner ring to the outer radius of the plate. Based on the results of the study, graphs of the dependence of the maximum deflection and the frequency of natural vibrations of the plate on the R/R ratio are constructed. It is shown that for annular plates at r/R =0.75, the K coefficient coincides with the same coefficient for single-span beams with non-uniform boundary conditions to an accuracy of 4%.