Main Article Content
Abstract
In this study, a mathematical model of a new hydro-pneumatic damper consists of a double-acting cylinder, two oil chambers, a damping valve, and an accumulator is developed to assess its response to vertical vibrations in a passenger car. The main idea of the new damper aim to make that the damping coefficient in compression differ than that in rebound which achieve more stability specially during cornering. The damping coefficient difference in compression and rebound can be achieved due to the presence of accumulator. Both passive and active hydro-pneumatic suspension systems with the new damper employing different control strategies such as LQR, PID, and H-infinity control, are employed to assess the effectiveness of the suspension system. The investigation focuses on vertical acceleration, pitch acceleration, suspension deflection, and dynamic tire load. The half-car model is simulated using MATLAB/Simulink, and the results for both active and passive hydro-pneumatic suspensions are analyzed in terms of frequency, time, and power spectral density responses. The findings reveal that the active suspension system with H-infinity control demonstrates an 81% improvement in body acceleration and a 92% improvement in pitch acceleration (angular acceleration) compared to the passive hydro-pneumatic suspension which improve the stability of the vehicle during cornering. Similarly, the implementation of LQR-controlled suspension enhances body acceleration and step acceleration by approximately 40% and 57%, respectively, compared to the passive hydro-pneumatic suspension. Moreover, when compared to the passive hydro-pneumatic suspension, the PID-controlled active hydro-pneumatic suspension exhibits a 64% improvement in step acceleration and a 44% improvement in body acceleration.
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References
- R. Alkhatib, G. Nakhaie Jazar, and M. . Golnaraghi, “Optimal design of passive linear suspension using genetic algorithm,” Journal of Sound and Vibration, vol. 275, no. 3–5, pp. 665–691, Aug. 2004, doi: 10.1016/j.jsv.2003.07.007.
- T. Abut and E. Salkim, “Control of Quarter-Car Active Suspension System Based on Optimized Fuzzy Linear Quadratic Regulator Control Method,” Applied Sciences, vol. 13, no. 15, p. 8802, Jul. 2023, doi: 10.3390/app13158802.
- L. Yang, R. Wang, X. Meng, Z. Sun, W. Liu, and Y. Wang, “Performance analysis of a new hydropneumatic inerter-based suspension system with semi-active control effect,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 234, no. 7, pp. 1883–1896, Jun. 2020, doi: 10.1177/0954407019894189.
- N. M. Ghazaly and A. O. Moaaz, “Hydro-Pneumatic Passive Suspension System Performance Analysis using AMESim Software,” International Journal of Vehicle Structures and Systems, vol. 12, no. 1, Jun. 2020, doi: 10.4273/ijvss.12.1.02.
- I. Dridi, A. Hamza, and N. Ben Yahia, “Control of an active suspension system based on long short-term memory (LSTM) learning,” Advances in Mechanical Engineering, vol. 15, no. 2, p. 168781322311567, Feb. 2023, doi: 10.1177/16878132231156789.
- F. Jeniš, M. Kubík, T. Michálek, Z. Strecker, J. Žáček, and I. Mazůrek, “Effect of the Magnetorheological Damper Dynamic Behaviour on the Rail Vehicle Comfort: Hardware-in-the-Loop Simulation,” Actuators, vol. 12, no. 2, p. 47, Jan. 2023, doi: 10.3390/act12020047.
- J. Theunissen, A. Tota, P. Gruber, M. Dhaens, and A. Sorniotti, “Preview-based techniques for vehicle suspension control: a state-of-the-art review,” Annual Reviews in Control, vol. 51, pp. 206–235, 2021, doi: 10.1016/j.arcontrol.2021.03.010.
- T. A. Nguyen, “Advance the stability of the vehicle by using the pneumatic suspension system integrated with the hydraulic actuator,” Latin American Journal of Solids and Structures, vol. 18, no. 7, 2021, doi: 10.1590/1679-78256621.
- F. Scheibe and M. C. Smith, “Analytical solutions for optimal ride comfort and tyre grip for passive vehicle suspensions,” Vehicle System Dynamics, vol. 47, no. 10, pp. 1229–1252, Oct. 2009, doi: 10.1080/00423110802588323.
- N. Zhang, S. Yang, G. Wu, H. Ding, Z. Zhang, and K. Guo, “Fast Distributed Model Predictive Control Method for Active Suspension Systems,” Sensors, vol. 23, no. 6, p. 3357, Mar. 2023, doi: 10.3390/s23063357.
- M. A. Karkoub and M. Zribi, “Active/semi-active suspension control using magnetorheological actuators,” International Journal of Systems Science, vol. 37, no. 1, pp. 35–44, Jan. 2006, doi: 10.1080/00207720500436344.
- Y. Ko, K. Park, I. Baek, G. Kim, and J. Lee, “Study on Development of Virtual Components for Active Air Suspension System Based on HILS for Commercial Vehicle,” Transactions of the Korean Society of Automotive Engineers, vol. 21, no. 2, pp. 26–36, Mar. 2013, doi: 10.7467/KSAE.2013.21.2.026.
- Q. Fu, J. Wu, C. Yu, T. Feng, N. Zhang, and J. Zhang, “Linear Quadratic Optimal Control with the Finite State for Suspension System,” Machines, vol. 11, no. 2, p. 127, Jan. 2023, doi: 10.3390/machines11020127.
- A. O. Moaaz, A. S. Ali, N. M. Ghazaly, and M. M. Makrahy, “Performance Evaluation of Semi-Active Suspension for Passenger Vehicle through Skyhook, Groundhook and Hybrid Control Strategies,” International Journal of Vehicle Structures and Systems, vol. 14, no. 5, Dec. 2022, doi: 10.4273/ijvss.14.5.04.
- A. Soliman and M. Kaldas, “Semi-active suspension systems from research to mass-market – A review,” Journal of Low Frequency Noise, Vibration and Active Control, vol. 40, no. 2, pp. 1005–1023, Jun. 2021, doi: 10.1177/1461348419876392.
- Y. Zhang, T. Schauer, and A. Bleicher, “Optimized passive/semi-active vibration control using distributed-multiple tuned facade damping system in tall buildings,” Journal of Building Engineering, vol. 52, p. 104416, Jul. 2022, doi: 10.1016/j.jobe.2022.104416.
- X. Ding, R. Li, Y. Cheng, Q. Liu, and J. Liu, “Design of and Research into a Multiple-Fuzzy PID Suspension Control System Based on Road Recognition,” Processes, vol. 9, no. 12, p. 2190, Dec. 2021, doi: 10.3390/pr9122190.
- T. Nakayama, M. Morita, H. Kamimae, A. Nishihara, and K. Tuda, “Development of semi-active control system with PUDLIS,” in Proceedings of International Symposium on Advanced Vehicle Control (AVEC), 1996, no. 1, pp. 233–239.
- S. B. A. Kashem, K. B. Mustapha, and T. S. Kannan, “A study and review on vehicle suspension system and introduction of a high-bandwidth configured quarter car suspension system,” Australian Journal of Basic and Applied Sciences, vol. 9, no. 30, pp. 59–66, 2015.
- S. Nagamatsu and T. Shiraishi, “A simple and novel control strategy for semi-active vibration suppression by a magnetorheological damper,” Journal of Intelligent Material Systems and Structures, vol. 33, no. 6, pp. 811–821, Apr. 2022, doi: 10.1177/1045389X211032288.
- A. Čerškus, V. Ušinskis, N. Šešok, I. Iljin, and V. Bučinskas, “Optimization of Damping in a Semi-Active Car Suspension System with Various Locations of Masses,” Applied Sciences, vol. 13, no. 9, p. 5371, Apr. 2023, doi: 10.3390/app13095371.
- S. Kimbrough, “Bilinear modeling and regulator of variable component suspensions,” ASME WAM, AMD, vol. 80, no. 4, 1986.
- H. E. Tseng, K. Yi, and J. K. Hedrick, “A comparison of alternative semi-active control laws,” in ASME WAM, 1991, pp. 1–6.
- M. Valásek and M. Novák, “A new concept of semi-active control of truck’s suspension,” in Proceedings of International Symposium on Advanced Vehicle Control, pp. 141–151.
- M. Valášek, M. Novák, Z. Šika, and O. Vaculín, “Extended Ground-Hook - New Concept of Semi-Active Control of Truck’s Suspension,” Vehicle System Dynamics, vol. 27, no. 5–6, pp. 289–303, Jun. 1997, doi: 10.1080/00423119708969333.
- D. Hennecke and F. J. Zieglmeier, “Frequency dependent variable suspension damping—theoretical background and practical success,” Proceeding of Institution of Mechanical Engineers, pp. 101–111, 1988.
- A. Ranjan, S. Prasanth, F. Cherian, J. P. Bhasker, and K. Ravi, “Adaptive hybrid control strategy for semi-active suspension system,” IOP Conference Series: Materials Science and Engineering, vol. 263, p. 062062, Nov. 2017, doi: 10.1088/1757-899X/263/6/062062.
- F. D. Goncalves and M. Ahmadian, “A Hybrid Control Policy for Semi-Active Vehicle Suspensions,” Shock and Vibration, vol. 10, no. 1, pp. 59–69, 2003, doi: 10.1155/2003/897173.
- S. Han, Z. Chao, and X. Liu, “A Semiactive and Adaptive Hybrid Control System for a Tracked Vehicle Hydropneumatic Suspension Based on Disturbance Identification,” Shock and Vibration, vol. 2017, pp. 1–12, 2017, doi: 10.1155/2017/2741786.
- P. S. Els and B. Grobbelaar, “Investigation of the time-and temperature dependency of hydro-pneumatic suspension systems,” SAE Technical Paper, 1993.
- P. Zheng and J. Gao, “Damping force and energy recovery analysis of regenerative hydraulic electric suspension system under road excitation: modelling and numerical simulation,” Mathematical Biosciences and Engineering, vol. 16, no. 6, pp. 6298–6318, 2019, doi: 10.3934/mbe.2019314.
- A. O. Moaaz and N. M. Ghazaly, “Fuzzy and PID controlled active suspension system and passive suspension system comparison,” International journal of advanced science and Technology, vol. 28, no. 16, pp. 1721–1729, 2019.
- A. Strydom and P. S. Els, “The Applicability of Hybrid Control to a Small Off-Road Vehicle Without a Differential,” Aug. 2014, doi: 10.1115/DETC2014-34344.
- A. Gupta, N. Bharadwaj, S. Upadhyaya, and S. Upadhyaya, “Development of hybrid control algorithm for improvement of performance of Semi-Active Suspension System,” World Journal of Modelling and Simulation, vol. 15, pp. 53–63, 2018.