This paper outlines a technique of determining the natural frequencies and modes of an elastic structure consisting of a cylindrical shell and noncrossing rectangular plates inserted into it. The influence of the position, number, and thickness of the plates on the natural frequencies and modes is analyzedThe vibrations of shells with technological and design features are addressed in a great many publications [1-5, etc.]. Most often such features are represented by reinforcing elements as one-dimensional bars [2,3,5,6,9,10] subject to tension/compression, bending in one or two planes, or torsion.We will study the vibrations of an elastic structure consisting of a cylindrical shell and rectangular plates that are inserted into it and do not intersect with each other. The plates are attached to the shell by two longitudinal edges. The transverse edges lie in planes coinciding with the end cross sections of the shell. The stress-strain state of the shell and plates is described by the classical equations of motion of plates and shells. The ends of the shell and the transverse edges of the plates are hinged.

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