Abstract
In the work under consideration, an approach is proposed that makes it possible to calculate rectangular plates with any continuous types of boundary conditions from a unified position. The solution for plate deflections is constructed as a product of two functions, each of which represents its own function of the differential equation of bending vibrations of the rod with boundary conditions corresponding to the support of the rectangular plate. The problem reduces to an infinite system of linear algebraic equations for the coefficients of the eigenfunctions, which can be solved by the truncation method. Two examples of the calculation of rectangular plates with rigidly clamped and hingedly supported sides under the action of a concentrated force and with two clamped and two hingedly supported sides under the action of a uniformly distributed load are given.
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