Development of mathematical models of the stress-strain state of metal supports of the railway overhead line by methods of experimental planning theory
https://doi.org/10.46973/0201-727X_2023_3_188
Abstract
The paper is devoted to the development of mathematical models of the stress-strain state of metal supports of the railway overhead line. The methods of the theory of experimental planning are used as a mathematical apparatus. The stress-strain state is characterized by the maximum Mises stress in the element, the maximum longitudinal normal compressed and stretched stress, and the deformation of the element. The input variables are the compressive/tensile force, the presence of damage on the element, its length and cross-sectional area, additional force in the transverse direction. A complete factorial experiment of 32 experiments was conducted. The experiments were carried out using the Femap finite element modeling software package. Based on the results of the experiments, four regression-type mathematical models were constructed using the Gretl econometric package. With their help, the factors that have the strongest influence on the stress-strain state have been identified.
About the Authors
L. A. Astrakhantsev
Irkutsk State Transport University (ISTU)
Russian Federation
Russian Federation
Leonid A. Astrakhantsev - Chair «Electrical Power Industry of Transport», Doctor of Engineering Sciences, Professor.
M. P. Bazilevsky
Irkutsk State Transport University (ISTU)
Russian Federation
Russian Federation
Mikhail P. Bazilevsky - Chair «Mathematics», Candidate of Engineering Sciences, Associated Professor.
O. V. Lobanov
Irkutsk State Transport University (ISTU)
Russian Federation
Russian Federation
Oleg V. Lobanov - Chair «Electrical Power Industry of Transport», Postgraduate Student.
V. L. Stupitskiy
Irkutsk State Transport University (ISTU)
Russian Federation
Russian Federation
Valeriy P. Stupitskiy - Chair «Electrical Power Industry of Transport», Candidate of Engineering Sciences, Associated Professor.
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Review
For citations:
Astrakhantsev L.A., Bazilevsky M.P., Lobanov O.V., Stupitskiy V.L. Development of mathematical models of the stress-strain state of metal supports of the railway overhead line by methods of experimental planning theory. Vestnik Rostovskogo Gosudarstvennogo Universiteta Putej Soobshcheniya. 2023;(3):188-195. (In Russ.) https://doi.org/10.46973/0201-727X_2023_3_188
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