Abstract
Suspension stiffness affects vehicle comfort and handling performance. The stiffness optimization of the transverse leaf spring suspension can be achieved by adjusting the distance between the two central installation positions of the leaf spring. This method can avoid changing the structure of the leaf spring, reduce the difficulty of product development, and shorten the product development cycle, so this type of suspension has high engineering application value. In the paper, a finite element model of the transverse leaf spring is established, and the characteristics of the stiffness, deformation and stress of the leaf spring with the distance are studied. According to the objectives of suspension dynamic deflection, body roll angle and leaf spring reliability, the distance matching design is carried out, and the design scheme is experimentally verified. The research shows that the stiffness of the leaf spring under the opposite direction loading condition is greater than that of the same direction loading condition, and the difference between the two data increases with the increase of the distance. When the distance is 800 mm, the stiffness of the suspension is 102.1 N/mm under the same loading and 220.4 N/mm under reverse loading, the maximum stress is 1487 MPa, the dynamic deflection 39.2 mm, and the maximum body roll angle is less than 6.0°. All of the above indicators meet the design requirements. The research results provide theoretical basis and reference for the design of a transverse leaf spring suspension.
Similar content being viewed by others
References
B. Qin, Y. Chen, Z. Chen and L. Zuo, Modeling, bench test and ride analysis of a novel energy-harvesting hydraulically interconnected suspension system, Mechanical Systems and Signal Processing, 166(1) (2022) 108456.
J. Wu, Q. Wang, X. Wei and H. Tang, Studies on improving vehicle handling and lane keeping performance of closed-loop driver-vehicle system with integrated chassis control, Mathematics and Computers in Simulation, 80 (2010) 2297–2308.
K. Chen, S. He, E. Xu, R. Tang and Y. Wang, Research on ride comfort analysis and hierarchical optimization of heavy vehicles with coupled nonlinear dynamics of suspension, Measurement, 165 (2020) 108142.
H. Sugiyama, A. A. Shabana, M. A. Omar and W. YiLoh, Development of nonlinear elastic leaf spring model for multibody vehicle systems, Computer Methods in Applied Mechanics and Engineering, 195 (2006) 6925–6941.
A. Donoso, J. M. Chacón, A. González Rodríguez and F. Ureña, On an adjustable-stiffness spring composed of two antagonistic pairs of nonlinear leaf springs working in post-buckling, Mechanism and Machine Theory, 63 (2013) 1–7.
G. Cheng, K. Chen, Y. Zhang and Y. Chen, The fracture of two-layer leaf spring: Experiments and simulation, Engineering Failure Analysis, 133 (2022) 105971.
H. Zhao, D. Han, L. Zhang and S. Bi, Design of a stiffness-adjustable compliant linear-motion mechanism, Precision Engineering, 48 (2017) 305–314.
D. M. Brouwer, J. P. Meijaard and J. B. Jonker, Large deflection stiffness analysis of parallel prismatic leaf-spring flexures, Precision Engineering, 37 (2013) 505–521.
A. Tandel, A. R. Deshpande, S. P. Deshmukh and K. R. Jagtap, Modeling, Analysis and PID controller implementation on double wishbone suspension using simmechanics and simulink, Procedia Engineering, 97 (2014) 1274–1281.
B. Zhang and Z. Li, Mathematical modeling and nonlinear analy-sis of stiffness of double wishbone independent suspension, Journal of Mechanical Science and Technology, 35 (2021) 5351–5357.
J. Luo, P. Li, P. Li and Q. Cai, Observer-based multi-objective integrated control for vehicle lateral stability and active suspension design, Journal of Sound and Vibration, 508 (2021) 116222.
S. Suranjan, C. P. Selvan, P. S. Nair, T. Hasan and Krishnaprasad, Numerical modeling and optimization of turns in double wish bone suspension of an automotive, Materials Today: Proceedings, 45 (2021) 7213–7215.
K. V. Reddy, M. Kodati, K. Chatra and S. Bandyopadhyay, A comprehensive kinematic analysis of the double wishbone and MacPherson strut suspension systems, Mechanism and Machine Theory, 105 (2016) 441–470.
X. Yan, D. Du, K. Xu and W. Sun, Finite element modeling and analysis of dynamic characteristics of rotating coated blisks, Aerospace Science and Technology, 123 (2022) 107497.
M. Bola, J. A. Simões and A. Ramos, Finite element modelling and experimental validation of a total implanted shoulder joint, Computer Methods and Programs in Biomedicine, 207 (2021) 106158.
A. C. Mitra, T. Soni, G. R. Kiranchand, S. Khan and N. Banerjee, Experimental design and optimization of vehicle suspension system, Materials Today: Proceedings, 2 (2015) 2453–2462.
T. Lv, Y. Zhang, Y. Duan and J. Yang, Kinematics & compliance analysis of double wishbone air suspension with frictions and joint clearances, Mechanism and Machine Theory, 156 (2021) 104127.
D. Ning, S. Sun, H. Du, W. Li and W. Li, Control of a multiple-DOF vehicle seat suspension with roll and vertical vibration, Journal of Sound and Vibration, 435 (2018) 170–191.
C. Zhou, L. Pan, Y. Yu and L. Zhao, Optimal damping matching for shock absorber of vechicle leaf spring suspension system, Transactions of the Chinese Society of Agricultural Engineering, 4(7) (2016) 106–112.
D. Liu, G. M. Tomasini, D. Rocchi, F. Cheli, Z. Lu and M. Zhong, Correlation of car-body vibration and train overturning under strong wind conditions, Mechanical Systems and Signal Processing, 142 (2020) 106743.
M. A. Hassan, M. A. A. Abdelkareem, M. M. Moheyeldein, A. Elagouz and G. Tan, Advanced study of tire characteristics and their influence on vehicle lateral stability and untripped rollover threshold, Alexandria Engineering Journal, 59 (2020) 1613–1628.
G. Yu Guofei, W. Ai, C. Wang and G. Wu, Factors of body roll angles correspond to vehicle steady steering characteristics, Journal of Tongji University (Natural Science), 9(34) (2006) 1237–1241.
H. Yang, W. Liu, L. Chen and F. Yu, An adaptive hierarchical control approach of vehicle handling stability improvement based on steer-by-wire systems, Mechatronics, 77 (2021) 102583.
V. Malviya and R. Mishra, Development of an analytical multivariable steady-state vehicle stability model for heavy road vehicles, Applied Mathematical Modelling, 38 (2014) 4756–4777.
Acknowledgments
This work was supported by special projects in key fields of general universities in Guangdong province (high-end equipment manufacturing)(Q2022ZDZX3023) and the science and technology research project of Hubei Provincial Department of Education (Q20212602). The authors would like to acknowledge the support of Naveco Automobile Co., Ltd. for providing the mate-rials and apparatus to carry out the experimental works.
Author information
Authors and Affiliations
Corresponding author
Additional information
Bao Zhang is a senior engineer and received M.E degree. His research interests include structural mechanics, dynamics and NVH.
Hongnan Wang is an Associate Professor and graduate advisor. His research interests include vehicle dynamics and vehicle powertrain.
Zhi Li is Assistant Professor. His current research interests include vehicle dynamics and NVH.
Tangyun Zhang is a senior engineer, and his main research direction is solid mechanics.
Rights and permissions
About this article
Cite this article
Zhang, B., Wang, H., Li, Z. et al. Stiffness design and mechanical performance analysis of transverse leaf spring suspension. J Mech Sci Technol 37, 1339–1348 (2023). https://doi.org/10.1007/s12206-023-0220-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-023-0220-4