Development of a mathematical model of shoe dynamics of the disc-shoe type braking device of the rolling stock during braking
https://doi.org/10.46973/0201-727X_2025_3_125
Abstract
Braking equipment is the main provision of an integrated active safety system. Despite the abundance of work in the field of research on braking devices, this unit remains with numerous problems that can affect the specified operational properties of rolling stock. To assess the factors influencing the braking torque curve, a mathematical model was developed that takes into account the design and technological parameters of the caliper mechanism, as one of the main elements of the braking device design. The system of equations of forces and moments allowed us to determine the dependencies for calculating linear and angular displacements of the shoe, taking into account its inertial characteristics, stiffness and damping parameters. To calculate the inertial load of the brake pad SHOE, as the main characteristic of the shoe displacement of the pad relative to the calculated position of the center of pressure in the tangential and radial directions, the total values of acceleration fluctuations in the longitudinal and transverse directions of the shoe for its four edges were determined. According to the diagram obtained, it can be argued that the brake pad at the beginning of braking is displaced in the direction of rotation of the disc and the periphery of the brake disc, which leads to a short-term increase in braking torque.
About the Authors
P. A. Polyakov
Naberezhnye Chelny Institute of Kazan Federal University (NCI KFU)
Russian Federation
Russian Federation
Polyakov Pavel Alexandrovich, Chair “Mechanics and Design Engineering”, Doctor of Engineering Sciences, Associate Professor, Head of the Chair
I. A. Yaitskov
Rostov State Transport University (RSTU)
Russian Federation
Russian Federation
Yaitskov Ivan Anatolyevich, Chair “Cars and Car Facilities”, Doctor of Engineering Sciences, Professor, Dean of the Electromechanical Department
S. N. Korzhov
Rostov State Transport University (RSTU)
Russian Federation
Russian Federation
Korzhov Sergey Nikolaevich, Chair “Life Safety”, Postgraduate Student
G. I. Galimova
Naberezhnye Chelny Institute of Kazan Federal University (NCI KFU)
Russian Federation
Russian Federation
Galimova Gulnaz Ilgizovna, Chair “Mechanics and Design Engineering”, Senior Lecturer
N. A. Zadayanchuk
Kuban State University (KubGU)
Russian Federation
Russian Federation
Zadayanchuk Nina Alexandrovna, Chair “Information and Educational Technologies”, Lecturer
References
1. Dynamic brake characteristics of disc brake during emergency braking of the kilometer-deep coal mine hoist / D. Wang, R. Wang, J. Zhang // Advances in Mechanical Engineering. – 2014. – Vol. 12 (5). – 23 p. – DOI 10.1177/1687814020918097.
2. Nonlinear dynamics modeling and analysis of disc brake squeal considering acting process of brake force / X. Liu, Y. Zhao, Y. Shan [et al.] // Journal of Vibroengineering. – Vol. 16, No. 4. – P. 1964–1976. – Jun. 2014.
3. Vehicle dynamics with brake hysteresis / B. Shyrokau, D. Wang, K. Augsburg [et al.] // J Automo-bile Engineering. – 2013. – Vol. 227 (2). – P. 139–150 – DOI 10.1177/0954407012451961.
4. Effect of vibration on emergency braking tribological behaviors of brake shoe of deep coal mine hoist / D. Wang, R. Wang, B. Wang [et al.] // Applied Sciences. – 2021. – Vol. 11 (14). – 23 р. – DOI 10.3390/app11146441.
5. Mickoski, H. Investigation of self-excited vibrations in tread brake unit for railway vehicles / H. Mickoski, I. Mickoski, F. Zdraveski // Journal of Vibroengineering. – Vol. 18, No. 6. – P. 3881– 3890, Sep. 2016, DOI 10.21595/jve.2016.16914.
6. Investigation of brake-judder through caliper vibrations due to the effects of friction pad properties, disc thickness variation and brake torque variation using a dynamometer / A. Nikhil, K. Subramanian, W. Anand, M. P. Raajha // ARAI Journal of Mobility Technology. – 2022. – Vol. 2 (3). – P. 280–289. – DOI 10.37285/ajmt.2.3.6.
7. Pan, G. Impact analysis of brake pad backplate structure and friction lining material on disc-brake noise / G. Pan, L. Chen // Advances in Materials Science and Engineering. – 2018. – Vol. 2018. – 9 p. – DOI 10.1155/2018/7093978.
8. Polyakov, P. A. The influence of the amplitudes of transverse movements of brake pads on the braking torque developed by the disc brake / P. A. Polyakov // Vestnik Rostovskogo Gosudarstvennogo Universiteta Putej Soobshcheniya. – 2022. – No. 3 (87). – P. 55–63. – DOI 10.46973/0201-727X_2022_3_55.
9. Polyakov, P. A. The influence of the design of the pressing mechanisms of the disc-shoe brake on the vibrations arising in the contact of the friction unit / P.A. Polyakov // News of the Tula state university. Technical sciences. – 2022. – No. 5. – P. 408–420. – DOI 10.24412/2071-6168-2022-5-408-420.
10. Analysis of unsteady processes in a disc-shoe type braking device during braking / I. A. Yaitskov, P. A. Polyakov, E. S. Fedotov [et al.] // Vestnik Rostovskogo Gosudarstvennogo Universiteta Putej Soobshcheniya. – 2024. – No. 1 (93). – P. 248–260. – DOI 10.46973/0201-727X_2024_1_248.
11. Abdo, J. A. Vibration response of a disc brake : evaluation and design / J. A. Abdo, G. A. Meinhardt // Int. J. of Applied Mechanics and Engineering, 2006. – Vol. 11, No. 3. – P. 467–479.
Review
For citations:
Polyakov P.A., Yaitskov I.A., Korzhov S.N., Galimova G.I., Zadayanchuk N.A. Development of a mathematical model of shoe dynamics of the disc-shoe type braking device of the rolling stock during braking. Vestnik Rostovskogo Gosudarstvennogo Universiteta Putej Soobshcheniya. 2025;(3):125-137. (In Russ.) https://doi.org/10.46973/0201-727X_2025_3_125
Views:
8
JATS XML
Email this article 