Determining the dynamic characteristics of elastic shell structures




phase-frequency characteristics (PFC), amplitude-frequency characteristics (AFC), shell elastic elements (SEE), boundary conditions, geometric parameters


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.

Author Biographies

Irina Polyakova, Kazakh Leading Academy of Architecture and Civil Engineering


Faculty of General Construction

Raikhan Imambayeva, Kazakh Leading Academy of Architecture and Civil Engineering


Faculty of General Construction

Bakyt Aubakirova, Kazakh Leading Academy of Architecture and Civil Engineering


Faculty of General Construction


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How to Cite

Polyakova, I., Imambayeva, R., & Aubakirova, B. (2021). Determining the dynamic characteristics of elastic shell structures. Eastern-European Journal of Enterprise Technologies, 6(7 (114), 43–51.



Applied mechanics