Article

Received 19.06.2022

Revised 07.11.2022

Accepted 15.12.2022

Retrieved from Iss. 112, 2022

Pages 78 -84

Kuzminets, M., Maksymyuk, Yu., & Martynyuk, I. (2022). PERFORMANCE OF FINITE ELEMENTS WITH VARIABLE AND AVERAGED MECHANICAL AND GEOMETRIC PARAMETERS OF THE SEMI-ANALYTICAL FINITE ELEMENT METHOD. Automobile Roads and Road Construction, (112), 78-84. https://doi.org/10.33744/0365-8171-2022-112-078-084

PERFORMANCE OF FINITE ELEMENTS WITH VARIABLE AND AVERAGED MECHANICAL AND GEOMETRIC PARAMETERS OF THE SEMI-ANALYTICAL FINITE ELEMENT METHOD

Mykola Kuzminets Yuriy Maksymyuk Ivan Martynyuk

In the study of problems related to the development of numerical methods for the calculation of structures based on MSE, it is necessary to highlight the justification of the reliability of the obtained results and the comparison of the effectiveness of the approaches that are being developed in relation to the existing ones. Theoretically, it is not always possible to do this even for individual cases, because of this, as a rule, the data of numerical experiments obtained on control problems are involved in the solution of the mentioned questions. In this article, by solving specific problems, the efficiency of finite elements with variable and averaged mechanical and geometric parameters is compared and the convergence of Fourier series, polynomials and MSE is investigated. In addition, for a more complete justification of the reliability of the results obtained on the basis of the developed methodology and programs, a number of control examples covering massive and thin-walled objects were additionally considered in elastic and elastic-plastic settings

Finite element method (FEM), semi-analytical finite element method (FEM), prismatic finite element (FE1), massive, thin-walled prismatic bodies, vector of nodal reactions, stiffness matrix coefficients
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https://doi.org/10.33744/0365-8171-2022-112-078-084