Method for determining deflections of round plates under the action of harmonic transverse load

Abstract

For the first time, the problem of bending a circular plate under the action of the harmonic distribution of the intensity of a transverse load was solved. For the first time, the solution was constructed by lowering the order of the differential operator in the plate deflections equation from fourth to second order, which made it possible to divide the solution of the problem into two stages. At the first stage, the boundary conditions for the equality to zero of vertical displacements of the plate and the smoothness of its deflections in the center were satisfied. At the second stage, either the edge pinching condition or zero bending moment condition on the edge of the plate was satisfied.