This paper considers elastic shell elements. They move under pressure. The type of dependence of displacement on pressure is called the elastic characteristic of the element. The object of this study is shell elements with a complex surface shape, consisting of composite materials of the "metal-metal" type. The composite is a metal shell with reinforcing fiber made of another metal material. The form of reinforcement is different. The task to be solved is to determine the elastic characteristics of the shell elements depending on the geometric parameters, as well as the mechanical values of the shell at its various points and in different directions. To this end, algorithms were built for calculating mechanical quantities depending on the percentage of the fiber and the shell matrix. It was required to derive a system of equations for determining the displacements and internal forces in the element depending on the geometric and mechanical parameters. A numerical calculation of shell elastic elements was performed and a comparison of the results of analytical calculation according to the algorithm developed in this work and experimental data was performed. The match between these results is 99.8–100 %. The characteristics of the shell elements were determined depending on the type of reinforcing fiber and matrix, on the geometric parameters, and the type of reinforcement of the shell. These studies make it possible to design shell elements with specified characteristics and predefined sensitivity.

Building structures are very often operated under the action of dynamic loads, both natural and man-made. The calculation of structures under the influence of static loads has been quite widely studied in detail. When structures are exposed to dynamic loads, additional tests are carried out, where measuring instruments are installed on the structures to register stresses and deformations that occur during dynamic influences. Elastic elements are the responsible functional unit of many measuring instruments. Therefore, the quality of elastic elements ensures the operational stability of the entire structure. This determines the increased attention that is paid to technology and construction to elastic elements. Previously, the work of elastic elements made of homogeneous mono materials with the same physical and geometric properties in all directions and over the entire surface of the element was studied. The elastic element was considered as a shell of rotation with a complex shape of the meridian and various physical and mechanical properties at various points caused by uneven reinforcement. Two types of reinforcement were implied ‒ radial and circular. Elastic shell elements (ESE) operate under conditions of dynamic loading. The equation was derived for determining the dynamic characteristics of inhomogeneous elastic elements. The dependences of the first three natural frequencies of oscillations on the thickness of the shell and the depth of the corrugation and the first two natural frequencies of oscillations on the thickness of the shell have been analyzed. The amplitude-frequency characteristics (AFC) and the phase-frequency characteristics (PFC) of the shell depending on the geometric parameters have been calculated. All these results could significantly improve the quality of the readings of the instruments, which depend on the sensitivity of the shell elastic elements. And it, in turn, depends on the geometric and physical properties of the shell elastic elements.