Математичне формулювання цільової функції підвищення ефективності захисту несучих елементів вантажних вагонів антивібраційними покриттями

O. V. Fomin; O. S. Kozynka

doi:10.15802/stp2025/342002

Authors

O. V. Fomin National Transport University, Ukraine https://orcid.org/0000-0003-2387-9946
O. S. Kozynka National Transport University, Ukraine https://orcid.org/0009-0009-3012-581X

DOI:

https://doi.org/10.15802/stp2025/342002

Keywords:

railway transport, transportation technologies, freight cars, maintenance, operation, automation, computer modeling, reliability, protective coatings

Abstract

Purpose. To develop a mathematical model of an objective function that enhances the efficiency of protecting load-bearing elements of freight cars by optimally selecting anti-vibration coatings, taking into account operational conditions, cargo type, structural materials, and the intensity of dynamic loads. Methodology. The study employs methods of mathematical modeling, functional optimization, and numerical analysis. The efficiency criterion is defined as an integral function minimizing the transmission of vibrations from the bogie to the load-bearing structures of the car body. A model was constructed that accounts for the mechanical properties of coatings, their thickness, adhesion to the surface, and application cost. The influence of environmental parameters and cyclic loading was also analyzed. Findings. A generalized mathematical equation of the efficiency objective function was developed, which can be adapted to various types of railcars and operating conditions. Model validation was carried out using the center sill of an open-top freight car with different types of polymer coatings. Optimal coating layer configurations were obtained, providing up to a 35% reduction in vibrational deformations compared to traditional protection schemes. Originality. For the first time, an objective function based on multiparametric optimization has been proposed, considering both mechanical and operational-economic impact factors. The model allows flexible adjustment to specific technical requirements. Practical value. The developed mathematical model of the objective function enables engineers and designers to make informed decisions when selecting anti-vibration coatings for the load-bearing elements of freight railcars. By accounting for a comprehensive set of factors – including cargo type, operating conditions, structural materials, and the intensity of dynamic loads – the model ensures a customized approach to each specific design task. The proposed approach can be implemented in the design and modernization processes of freight cars, contributing to increased service life, reduced maintenance costs, and improved cargo transportation safety. The model enables automation of the coating selection process within computer-aided engineering decision support systems.

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