Experimental Study of the Regularities of Deformation of the Rubber Cord Shell of a Pneumatic Spring of High-Speed Rolling Stock

Authors

DOI:

https://doi.org/10.15802/stp2024/306143

Keywords:

deformation, pressure, potentiometric linear displacement sensor, air spring, rubber cord shell

Abstract

Purpose. The aim of this work is to establish the regularities of deformation of the rubber cord shell in the vertical and horizontal directions in the case of changes in the internal pressure in the pneumatic spring by static experimental studies. Methodology. A static test bench was used to establish the regularities of deformation of the rubber cord shell of a pneumatic spring. Changes in the internal pressure in the pneumatic spring were achieved using a compressor, and the deformation of the rubber cord shell was measured directly by high-frequency potentiometric linear displacement sensors. The deformation of the rubber cord shell of a pneumatic spring in both the vertical and horizontal planes was studied under the condition of changing the internal pressure in the spring in the range from 0 to 5 atm. Findings. Using the designed test bench, a methodology for experimental studies of the deformation of a rubber cord shell with increasing internal pressure in a pneumatic spring was developed. The dependences of the deformation value of the rubber cord casing of a pneumatic spring when the internal pressure changes in the range of 0÷5.0 atm were obtained. It is established that the deformation of the rubber cord casing with an increase in the internal pressure in the pneumatic spring in the horizontal plane is more intense compared to the vertical plane. It is found that the maximum values of deformation of the rubber cord shell of a pneumatic spring in the vertical and horizontal directions are observed at the initial stage of air injection in the range of pressure changes from 0 to 0.5 atm. The polynomial equations describing the deformation dependences of the rubber cord shell of a pneumatic spring were obtained. Originality. The regularities of deformation of the rubber cord casing in the vertical and horizontal planes at different values of the internal pressure in the pneumatic spring were determined by experimental static studies. Practical value. The study of the regularities of deformation of the rubber cord shell will contribute to a more accurate modeling of the operation of the pneumatic spring and a reliable determination of its dynamic performance. This will make it possible to use the dynamic performance of the air spring in the spatial mathematical model of the rolling stock at the design stage, as well as to evaluate its dynamic performance and traffic safety indicators.

References

Kaspakbaev, K. S., Karpov, A. P., & Kurmangaliev, K. Sh. (2016). Konstruktivnye osobennosti rezinokordnykh uprugikh elementov. Promyshlennyy transport Kazakhstana, 1(50), 28-31. (in Russian)

Kuzyshyn, A. Y., Kostritsia, S. A., Sobolevska, Yu. H., & Batih, A. V. (2021). World Experience in Creating Mathematical Models of Air Springs: Advantages and Disadvantages. Science and Transport Progress, 4(94), 25-42. DOI: https://doi.org/10.15802/stp2021/245974 (in Ukrainian)

Alonso, A., Giménez, J. G., Nieto, J., & Vinolas, J. (2010). Air suspension characterisation and effectiveness of a variable area orifice. Vehicle System Dynamics, 48(sup1), 271-286. DOI: https://doi.org/10.1080/00423111003731258 (in English)

Berg, M. (1997). A model for rubber springs in the dynamic analysis of rail vehicles. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 211(2), 95-108. DOI: https://doi.org/10.1243/0954409971530941 (in English)

Berg, M. (1999). A Three-Dimensional Airspring Model with Friction and Orifice Damping. Vehicle System Dynamics, 33(sup1), 528-539. DOI: https://doi.org/10.1080/00423114.1999.12063109 (in English)

Berg, M. (1998). A Non-Linear Rubber Spring Model for Rail Vehicle Dynamics Analysis. Vehicle System Dy-namics, 30(3–4), 197-212. DOI: https://doi.org/10.1080/00423119808969447 (in English)

Chang, F., & Lu, Z.-H. (2008). Dynamic model of an air spring and integration into a vehicle dynamics model. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 222(10), 1813-1825. DOI: https://doi.org/10.1243/09544070jauto867 (in English)

Docquier, N., Fisette, P., & Jeanmart, H. (2007). Multiphysic modelling of railway vehicles equipped with pneumatic suspensions. Vehicle System Dynamics, 45(6), 505-524. DOI: https://doi.org/10.1080/00423110601050848 (in English)

Kuzyshyn, A., Kovalchuk, V., & Sobolevska, Y. (2024). Studying the diagrams «force – deformation» of a pneumatic spring of a modern rolling stock at increased speeds. MATEC Web of Conferences, 390, 1-6. DOI: https://doi.org/10.1051/matecconf/202439004006 (in English)

Kuzyshyn, A., Kovalchuk, V., Stankevych, V., & Hilevych, V. (2023). Determining patterns in the influence of the geometrical parameters of the connecting pipeline on the dynamic parameters of the pneumatic spring of railroad rolling stock. Eastern-European Journal of Enterprise Technologies, 1(7(121)), 57-65. DOI: https://doi.org/10.15587/1729-4061.2023.274180 (in English)

Kuzyshyn, A., Sobolevska, J., Kostritsa, S., Batig, A., & Boiarko, V. (2023). Mathematical modeling of the second stage of spring suspension of high-speed rolling stock. AIP Conference Proceedings (Vol. 2684, Iss. 1, pp. 1-7). Kharkiv, Ukraine. DOI: https://doi.org/10.1063/12.0013715 (in English)

Mazzola, L., & Berg, M. (2012). Secondary suspension of railway vehicles - air spring modelling: Performance and critical issues. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 228(3), 225-241. https://doi.org/10.1177/0954409712470641 (in English)

Nakajima, T., Shimokawa, Y., Mizuno, M., & Sugiyama, H. (2014). Air Suspension System Model Coupled With Leveling and Differential Pressure Valves for Railroad Vehicle Dynamics Simulation. Journal of Computational and Nonlinear Dynamics, 9(3), 1-9. DOI: https://doi.org/10.1115/1.4026275 (in English)

Nieto, A. J., Morales, A. L., González, A., Chicharro, J. M., & Pintado, P. (2008). An analytical model of pneumatic suspensions based on an experimental characterization. Journal of Sound and Vibration, 313(1-2), 290–307.DOI: https://doi.org/10.1016/j.jsv.2007.11.027 (in English)

Qi, Z., Li, F., & Yu, D. (2016). A three-dimensional coupled dynamics model of the air spring of a high-speed electric multiple unit train. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 231(1), 3-18. DOI: https://doi.org/10.1177/0954409715620534 (in English)

Sayyaadi, H., & Shokouhi, N. (2010). Effects of air reservoir volume and connecting pipes length and diameter on the air spring behavior in rail vehicles. Iranian Journal of Science and Technology Transaction B: Engineering, 34(B5), 499-508. (in English)

Tanaka, T., & Sugiyama, H. (2019). Prediction of railway wheel load unbalance induced by air suspension level-ing valves using quasi-steady curve negotiation analysis procedure. Proceedings of the Institution of Me-chanical Engineers, Part K: Journal of Multi-Body Dynamics, 234(1), 19-37. DOI: https://doi.org/10.1177/1464419319867179 (in English)

Xu, L. (2020). Mathematical Modeling and Characteristic Analysis of the Vertical Stiffness for Railway Vehicle Air Spring System. Mathematical Problems in Engineering, 2020, 1-12. DOI: https://doi.org/10.1155/2020/2036563 (in English)

Zhu, H., Yang, J., Zhang, Y., & Feng, X. (2017). A novel air spring dynamic model with pneumatic thermodynamics, effective friction and viscoelastic damping. Journal of Sound and Vibration, 408, 87-104. DOI: https://doi.org/10.1016/j.jsv.2017.07.015 (in English)

Published

2024-06-14

How to Cite

Kuzyshyn, A. Y., & Kovalchuk, V. V. (2024). Experimental Study of the Regularities of Deformation of the Rubber Cord Shell of a Pneumatic Spring of High-Speed Rolling Stock. Science and Transport Progress, (2(106), 53–63. https://doi.org/10.15802/stp2024/306143

Issue

Section

ROLLING STOCK AND TRAIN TRACTION