FORCED OSCILLATIONS OF A PLATE CONSISTING OF ELLIPSES AND CIRCLES OF VARIOUS SIZES WITH COMPLEX CONTOURS ON MACHINE PARTS

Abstract

The article considers forced oscillations of elastic plates in the multilinked area. The surface of the plate undergoes actions of the disturbing force directed along the normal. The task leads to solution of different kinds of differential equations satisfying to initial and boundary conditions of various type. These equations are solved by the Bessel functions and through the method of the theory of functions with complex variables. Thus, the article offers the general methodology to the solutions of the dynamics of the elastic plates that is under action of the disturbing force.