Development of the procedure for verifying the feasibility of designing an active suspension system for transport carriages

Authors

DOI:

https://doi.org/10.15587/1729-4061.2018.131534

Keywords:

Kalman-Bucy filter, transport carriage, control over parameters of elastic-dissipative links, complex dynamic systems

Abstract

We have proposed techniques using which made it possible to solve a nonlinear algebraic Riccati equation for dynamic systems with  degrees of freedom. A constraint was imposed on the structure of a designed railroad carriage. We employed, as an analogue, a symmetrical carriage whose suspension system contains elastic-dissipative links with linear characteristics. This allowed us to devise a procedure for designing a suspension system for a railroad carriage. The criterion when choosing the weight coefficients of quality was the requirement to ensure comfortable conditions for passengers and a locomotive crew. Therefore, the system must experience an oscillatory process with small amplitudes; the frequency of natural oscillations of the body should not exceed 2 Hz. We have performed decomposition of the dynamic programming method for continuous stochastic systems, which made it possible to develop a procedure for a phased suspension system design. The procedure is suitable for use when designing suspensions for carriages running at regular and high-speed speed. The first stage implies designing a passive suspension system. The second stage involves a validation of the feasibility of designing devices to control parameters of the elastic-dissipative links in a suspension system of transport carriages using the optimal Kalman-Bucy filters. The modeling proved that control over parameters of elastic-dissipative links improves the dynamics of transport carriages. Damping control alone could reduce the body's center of mass acceleration by more than two times and hence decrease dynamic loads in the system. The Kalman-Bucy algorithm makes it possible to obtain optimal parameters of the elastic-dissipative links in a suspension system in complex dynamic systems. The procedure could be used independently and as part of the technique for a phased design of the suspension system. The procedure was demonstrated using test examples. The procedure is implemented in the simulation system. Control over parameters of the elastic-dissipative links in a suspension system of transport carriages would make it possible, first, to create comfortable working conditions for a locomotive crew and passengers, second, to improve operation reliability and motion safety of rolling stock by reducing dynamic loads.

Author Biographies

Nina Erhovа, Prydniprovs’ka State Academy of Civil Engineering and Architecture Chernyshevsky str., 24a, Dnipro, Ukraine, 49600

Doctor of technical sciences, Professor

Department of Applied Mathematics and information technologies

Iryna Bondarenko, Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan Lazaryan str., 2, Dnipro, Ukraine, 49010

Doctor of Technical Sciences, Associate Professor

Department of Track and track facilities

Oxana Shibko, Prydniprovs’ka State Academy of Civil Engineering and Architecture Chernyshevsky str., 24a, Dnipro, Ukraine, 49600

PhD, Associate Professor

Department of Applied Mathematics and information technologies

Natalia Velmagina, Prydniprovs’ka State Academy of Civil Engineering and Architecture Chernyshevsky str., 24a, Dnipro, Ukraine, 49600

PhD, Associate Professor Department of Applied Mathematics and information technologies

References

  1. Kucenko, S. M., Karpov, I. P. (1964). Statisticheskiy metod vybora parametrov ressornogo podveshivaniya lokomotivov. Tr. VNITI, 20, 62–77.
  2. Porter, B. (1967). Synthesis of Optimal Suspension Systems. The Engineer Technical Contributors Section, 223, 619–622.
  3. Ershov, V. I., Ershova, N. M. (1977). O vozmozhnosti primeneniya statisticheskoy teorii fil'trov Kalmana-B'yusi v transportnoy mekhanike. Vestnik Har'k. politekhn. in-ta «Lokomotivostroenie», 3, 57–61.
  4. Hedrik, Dzh. K. (1982). Aktivnye sistemy podveshivaniya zheleznodorozhnogo podvizhnogo sostava. Zheleznye dorogi mira, 11.
  5. Goodall, R. M., Kortüm, W. (1983). Active Controls in Ground Transportation – A Review of the State-of-the-Art and Future Potential. Vehicle System Dynamics, 12 (4-5), 225–257. doi: 10.1080/00423118308968755
  6. Karnopp, D. (1983). Active Damping in Road Vehicle Suspension Systems. Vehicle System Dynamics, 12 (6), 291–311. doi: 10.1080/00423118308968758
  7. Pollard, M. (1983). Podveska s aktivnymi elementami. Railway Gasette International, 139.
  8. Yoshimura, T., Ananthanarayana, N., Deepak, D. (1986). An active vertical suspension for track/vehicle systems. Journal of Sound and Vibration, 106 (2), 217–225. doi: 10.1016/0022-460x(86)90314-7
  9. Goodall, R. M., Bruni, S., Mei, T. X. (2006). Concepts and prospects for actively controlled railway running gear. Vehicle System Dynamics, 44, 60–70. doi: 10.1080/00423110600867374
  10. Goodall, R., Freudenthaler, G., Dixon, R. (2014). Hydraulic actuation technology for full- and semi-active railway suspensions. Vehicle System Dynamics, 52 (12), 1642–1657. doi: 10.1080/00423114.2014.953181
  11. Vyhlídal, T., Olgac, N., Kučera, V. (2014). Delayed resonator with acceleration feedback – Complete stability analysis by spectral methods and vibration absorber design. Journal of Sound and Vibration, 333 (25), 6781–6795. doi: 10.1016/j.jsv.2014.08.002
  12. González-Palomino, G., Rivas-Conde, J., Laniado, E. (2011). Optimization of Permanent Magnet Skew in Permanent Magnet Linear Synchronous Motors Using Finite Element and Statistical Method. Engineering, 03 (06), 577–582. doi: 10.4236/eng.2011.36068
  13. Lee, C.-M., Goverdovskiy, V. N., Sim, C.-S., Lee, J.-H. (2016). Ride comfort of a high-speed train through the structural upgrade of a bogie suspension. Journal of Sound and Vibration, 361, 99–107. doi: 10.1016/j.jsv.2015.07.019
  14. Shen, Y., Chen, L., Yang, X., Shi, D., Yang, J. (2016). Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension. Journal of Sound and Vibration, 361, 148–158. doi: 10.1016/j.jsv.2015.06.045
  15. Yoon, J.-H., Kim, D., Park, N.-C., Park, Y.-P. (2017). Design of a Tubular Permanent Magnet Actuator for Active Lateral Secondary Suspension of a Railway Vehicle. Applied Sciences, 7 (2), 152. doi: 10.3390/app7020152
  16. Zhou, D., Yu, P., Wang, L., Li, J. (2017). An adaptive vibration control method to suppress the vibration of the maglev train caused by track irregularities. Journal of Sound and Vibration, 408, 331–350. doi: 10.1016/j.jsv.2017.07.037
  17. Brammer, K., Ziffling, G. (1982). Fil'tr Kalmana-B'yusi. Moscow: Nauka, 200.
  18. Rivkin, S. S. (1973). Metod optimal'noy fil'tracii Kalmana i ego primenenie v inercial'nyh navigacionnyh sistemah. Leningrad: Sudostroenie, 153.
  19. Ershova, N. M. (2016). Sovremennye metody teorii proektirovaniya i upravleniya slozhnymi dinamicheskimi sistemami. Dnepropetrovsk: PGASA, 272.
  20. Ershova, N. M. (2016). Metodologiya poetapnogo proektirovaniya sistemy podveshivaniya transportnyh ekipazhey. Informacionnye sistemy i processy, 15, 89–96.

Downloads

Published

2018-05-18

How to Cite

Erhovа N., Bondarenko, I., Shibko, O., & Velmagina, N. (2018). Development of the procedure for verifying the feasibility of designing an active suspension system for transport carriages. Eastern-European Journal of Enterprise Technologies, 3(7 (93), 53–63. https://doi.org/10.15587/1729-4061.2018.131534

Issue

Section

Applied mechanics