Mathematical Modelling of a Single Magneto-Rheological for Car Suspension System Using Modified Bouc-Wen Model
DOI:
https://doi.org/10.31272/jeasd.28.5.1Keywords:
Bouc-Wen Equation, Magneto-Rheological Suspension System, Single Model, Vertical DisplacementAbstract
Magneto-Rheological (MR) automotive suspension represents the most advanced technology currently available for enhancing passenger comfort through intelligent fluid behaviour. This work employed a Modified Bouc-Wen model to create a mathematical representation of a single MR vehicle suspension and compared its ride performance to that of passive suspension systems. The model was formulated and solved using second-order linear differential equations, with MATLAB software utilized to visualize the results. The maximum vertical displacement for the single MR mathematical model in this work was 0.031 m, while the minimum was -0.0124 m. At the minimum position, the vertical displacements for the passive model were 0.0532 m and -0.0133 m. The results demonstrated that the vertical displacement variation was similar for both the mathematical model and the passive system. All displacements obtained from the mathematical modeling of the single MR system were close to its mean of 0.000875 m (nearly zero). There was reduced vibration when zero displacement was achieved. It was concluded that MR damper significantly improved car suspension performance compared to passive solutions. This paper developed a single MR vehicle suspension system using the Modified Bouc-Wen model in a Proton Preve.
References
I. Jiregna, and G. Sirata, “A Review of The Vehicle Suspension Systems,” Journal of Mechanical and Energy Engineering, vol. 4, no. 2, pp. 109–114, May. 2020, https://doi.org/10.30464/jmee.2020.4.2.109
A. Turnip, and J. H. Panggabean, “Hybrid Controller Design based Magneto-rheological Damper Lookup Table for Quarter Car Suspension”, International Journal of Artificial Intelligence, vol. 18, no. 1, pp. 193-206, 2020, http://www.ceser.in/ceserp/index.php/ijai/article/view/6386
M. A. B. Ismail, V. Sethuprakash, K. Sekiguchi, and L. Soyoung, "Design of Magnetorheological Suspension of C-Class Car Segment using Spencer Model for Education,” Central Asia and The Caucasus, vol. 23, no. 1 pp. 3017-3023, 2022, https://doi.org/10.37178/ca-c.23.1.202
S. Kumar, and A. Medhavi, “Active and Passive Suspension System Performance under Random Road Profile Excitations,” International Journal of Acoustics and Vibration, vol. 25, no. 4, pp. 532-541, 2020, https://doi.org/10.20855/ijav.2020.25.41702
T. A. Nguyen, “Improving the Comfort of the Vehicle Based on Using the Active Suspension System Controlled by the Double-Integrated Controller,” Shock and Vibration, vol. 2021, no. 1, pp. 1-7, 2021, https://doi.org/10.1155/2021/1426003
S. Kumar, and A. Medhavi, “Optimization of Nonlinear Passive Suspension System to Minimize Road Damage for Heavy Goods Vehicle,” International Journal of Acoustics and Vibration, vol. 26, no. 1, pp. 56-63, 2021, https://doi.org/10.20855/ijav.2020.25.11724
T. Darabseh, “Piezoelectric Method-Based Harvested Energy Evaluation from Carsuspension System: Simulation and Experimental Study,” Energy Science & Engineering, vol. 9, no. 3, pp. 417-433, 2020, https://doi.org/10.1002/ese3.829
M. S. F. Mansor, H. Zamzuri, N. H. F. Ismail, A. A. Puad, M. C. Mustafar, N. A. Husain, L. M. Anuar, Z. Zainuddin, S. A. Mazlan, and A. M. Jahari, “Controller Development for Magneto-Rheological Semi-Active Suspension Systems to Improve Vehicle Safety,” Journal of the Society of Automotive Engineers Malaysia, vol. 3, no. 2, pp. 157-176, 2019, https://doi.org/10.56381/jam/v3i2.116
F. Meng, and J. Zho, “Modeling and Control of a Shear-Valve Mode Mr Damper for Semi-Active Vehicle Suspension,” Hindawi Mathematical Problems in Engineering, 2019, https://doi.org/10.1155/2019/2568185
S. Danish, and K. Pramod, “Modelling of Active Suspension System for Quarter Car (PID Contol, Matlab,” International Journal of Engineering Applied Sciences and Technology, vol. 5, no. 10, pp. 155-160, 2021. [Online]. Available: https://www.ijeast.com/papers/155-160
T. Ergin, and D. Altiparmak, “Experimental study on Magnetorheological Damper Prototype and Obtaining its Equivalent Damping Coefficient,” Politeknik Dergisi, vol. 26, no. 2, pp. 863-870, 2023, https://doi.org/10.2339/politeknik.1078651
R. Kumar, A. Kumar, V. Gill, J. Sheoran, and S. Nain, “Electro and Magnetorheological Fluid Damper Study with Controllable Field-Flow Analysis for Parallel Plate Duct,” International Journal of Advanced Technology and Engineering Exploration, vol. 7, no. 69, pp. 127-136, 2020, https://doi.org/10.19101/IJATEE.2020.762056
J. S. Oh, K. Jeon, G. W. Kim, and S. B. Choi, “Dynamic analysis of semi-active MR suspension system considering response time and damping force curve,” Journal of Intelligent Material Systems and Structures, vol. 32, no. 13, pp. 1462-1472, 2021, https://doi.org/10.1177/1045389X20983920
A. B. Mohamed, A. Mansour, and A. Farouk, “Optimization Study of The Magneto-Rheological Damper for Vehicle Stability and Passenger Comfort,” 4th IUGRC International Undergraduate Research Conference, Military Technical College, Cairo, Egypt, vol. 1, pp. 1-7, 2019. [Online]. Available:https://www.researchgate.net/publication/334882612_Optimization_Study_of_the_MagnetoRheological_Damper_for_Vehicle_Stability_and_Passenger_Comfort
A. R. Bhise, R. G. Desai, R. N. Yerrawar, A. C. Mitra, and R. R. Arakerimath, “Comparison Between Passive and Semi-Active Suspension System Using Matlab/Simulink,” IOSR Journal of Mechanical and Civil Engineering, vol. 13, no. 4, pp. 1-6, 2016. [Online]. Available: https://www.iosrjournals.org/iosr-jmce/papers/Conf15008/Vol-1/38-43.pdf
Y. Shio, and T. Huynh, “Suspension Control and Characterization of a Variable Damping Magneto-Rheological Mount for a Micro Autonomous Railway Inspection Car,” Applied Science, vol. 12, no. 14, pp. 1-13,2022, https://doi.org/10.3390/app12147336
H. Zhou, W. Zhao, H. Zhang, Y. Wang, X. Wu, and Z. Sun, “Magnetorheological Seal: A Review,” International Journal of Applied Electromagnetics and Mechanics, vol. 62, no. 4, pp. 763-786, 2020, https://doi.org/100.3233/JAE-190082
S. Kumar, R. Sehgai, M. F. Wani, and M. D. Sharma, “Stabilization and tribological properties of magnetorheological (MR) fluids: A review,” Journal of Magnetism and Magnetic Materials, vol. 538, pp. 1-6, 2021, https://doi.org/100.1016/j.jmmm.2021.168295
H. Unuh, P. Muhamad, F. Yakub, M. A. Ismail, and Z. Tanasta, “Experimental Validation to A Prototype Magnetorheological (MR) Semi-Active Damper for C-Class Vehicle,” International Journal of Automotive and Mechanical Engineering, vol. 16, no. 3, pp. 7034-7047, 2019, https://doi.org/100.15282/ijame.16.3.2019.15.0527
M. K. M. Razali, A. G. Muthalif, and N. H. D. Nordin, “Estimation of Parameter for Different Magnetorheological Fluids Model for Varying Current,” International Journal of Computer Electrical Engineering, vol. 10, no. 2, pp. 127-134, 2018, https://doi.org/10.17706/IJCEE.2018.10.2.127-134
S. F. Yaakub, S. H. Yahaya, F. Ahmad, M. S. Salleh, and A. R. Warikh, “A Comprehensive Review on The Related Models in Magneto-Rheological Automobile Suspension System,” International Journal of Engineering Research and Technology, vol. 13, no. 7, pp. 1700-1708, 2020, https://doi.org/10.37624/IJERT/13.7.2020.1700-1708
S. H. Yahaya, S. F. Yaakub, F. Ahmad, M. S. Salleh, M. Y. Yuhazri, and S. Akmal, “Comparison Study for Double Passive Car Suspension System Through Mathematical Modelling and Experimental Work,” International Journal of Advanced Technology and Engineering Exploration, vol. 8, no. 82, pp. 1183-1192, 2021, https://doi.org/10.19101/IJATEE.2021.874256
Proton Preve, Auto Catalog Archive, 2016. [Online]. Available:
https://autocatalogarchive.com/wp-content/uploads/2017/01/Proton-Preve-2016-MY.pdf
M. Nagarkar, M. A. El-Gphary, Y. J. Bhalerao, G. J. Vikhe Patil, and R. N. Zaware Patil, “Artificial Neural Network Predication and Validation of Optimum Suspension Parameters of A Passive Suspension System,” SN Applied Sciences, vol. 1, no. 6, pp. 1-17, 2019, https://doi.org//10.1007/s42452-019-0550-0
S. H. Yahaya, S. F. Yaakub, M. S. Salleh, A. R. M. Warikh, A. Abdullah, and M. R. A. Purnomo, “Mathematical Modelling of The Passive and Semi-Active Automobile Suspension Systems in Ford Scorpio Car Model,” Journal of Advanced Manufacturing Technology, vol. 13, no. 2, pp. 83-96, 2019, https://jamt.utem.edu.my/jamt/article/view/5510
A. J. D. Nanthakumar, K. Jariwala, and H. Kumawat, “Mathematical Modelling and Simulation of Longitudinal Profiles,” AIP Conference Proceedings, vol. 2277, no. 1, pp. 130002-1–130002-8, 2020, https://doi.org//10.1063/5.0025225
A. Z. M. Amin, S. Ahmad, and Y. S. Hoe, “Electromagnetics Car Suspension System,” Indian Journal of Science and Technology, vol. 9, no. 40, pp. 1-4, 2016, https://doi.org/10.17485/ijst/2016/v9i40/97813
D. S. Ganesh, C. M. Anirban, and R. V. Vinay, “Validation of Simulation and Analytical Model of Nonlinear Passive Vehicle Suspension System for Quarter Car,” Proceedings of Materials Today, vol. 5, no. 1, pp. 19294-19302, 2018, https://doi.org/10.1016/j.matpr.2018.06.288
S. Kumar, A. Medhavi, and R. Kumar, “Active and Passive Suspension System Performance Under Random Road Profile Excitations,” International Journal of Acoustics & Vibration, vol. 25, no. 4, pp. 532-541, 2020, https://doi.org/10.20855/ijav.2020.25.41702
G. Z. Yao, F. F. Yap, G. Chen, W. Li, and S. H. Yeo, “MR damper and Its Application for Semi-Active Control of Vehicle Suspension System,” Mechatronics, vol. 12, no. 7, pp. 963-973, 2002, https://doi.org/10.1016/S0957-4158(01)00032-0
Downloads
Key Dates
Received
Revised
Accepted
Published Online First
Published
Issue
Section
License
Copyright (c) 2024 Siti Farizah Yaakub, Saifudin Hafiz Yahaya, Mohd Shukor Salleh (Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
