N.K. Yurkov1, E.A. Danilova2, I.I. Kochegarov3, A.V. Lysenko4, I.M. Rybakov5

1-5 Penza state University (Penza, Russia)

1 yurkov_nk@mail.ru; 2 siori@list.ru; 3 pgu.kipra@yandex.ru; 4 lysenko_av@bk.ru; 5 rybakov_im@mail.ru

Problem statement. The load-bearing structures of radio-electronic equipment during operation are under the influence of external disturbances, which often leads to loss of strength and destruction of the object as a whole. One of the approaches to obtaining the parameters of interest for strength analysis is the construction of finite-difference models of non-stationary processes of structural elements of electronic means that describe the relationship between physical models represented as discrete structures and their computational schemes.

Goal. To obtain an explicit difference scheme that automates the calculation process and facilitates the processing of results, which includes accounting for energy losses due to internal friction in the material. Based on the obtained equations, to develop a methodology for mathematical modeling of the structure's response to dynamic impacts.

Results. An approach to constructing finite-difference models of nonstationary processes in the structural elements of radioelectronic devices is described using circular cylindrical shells as an example. The relationship between physical models represented as discrete structures and their computational schemes is shown. A method is given to simplify the 3-dimensional model by eliminating one coordinate, which is achieved by representing the displacement as a series expansion over Legendre polynomials in the appropriate direction. Using a specific example, the implementation of the proposed technique for the case of impact on a cylindrical shell is considered. The analysis of the results and their comparison with the generally accepted ideas about the deformation of such systems under external influences are presented. It is shown that the proposed methodology will allow further analysis of complex structures by improving computational models and including additional conditions and characteristics, as well as becoming the basis for designing modules for engineering calculations of electronic means.

Yurkov N.K., Danilova E.A., Kochegarov I.I., Lysenko A.V., Rybakov I.M. Digital simulation of transient mechanical processes in circular cylindrical shells under impact excitation of the model. Radiotekhnika. 2025. V. 89. № 12. P. 123−134. DOI: https://doi.org/10.18127/j00338486-202512-14 (In Russian)

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