Development of Lever-Vane Shock Absorbers with Enhanced Functional Capabilities Using Graph Theory
DOI:
https://doi.org/10.15276/opu.1.73.2026.01Keywords:
lever–vane shock absorber, torsion bar suspension, absorber, hydraulic damping, modified kinematic graph, nonlinear working characteristics, mechanical control loopAbstract
In modern transport engineering, torsion bar suspensions are widely used due to the efficiency of torsion bars, which operate under torsion. Since they only store and release elastic energy, energy dissipation is particularly important, traditionally provided by hydraulic shock absorbers that reduce vehicle body oscillations and improve ride comfort. Modern suspensions include piston and gas shock absorbers with translational motion, as well as lever-vane shock absorbers with rotational motion. Existing shock absorbers exhibit force–velocity characteristics; however, current requirements demand alternative operational characteristics that conventional passive designs cannot achieve. Active damping systems can provide such characteristics, but their high cost and energy consumption limit practical use. Therefore, the synthesis of passive hydraulic shock absorbers with enhanced functional capabilities is highly relevant. This work proposes a method for synthesizing a new lever-vane shock absorber based on modified kinematic graphs, enabling a direct relationship between the displacement of the moving element and the operational characteristic. Two design variants were developed, incorporating additional mechanical control loops in the form of hinge-lever or cam mechanisms. Modeling and 3D design implementation confirmed the operability of the designs, the ability to achieve various nonlinear operating characteristics, and the effectiveness of damping control compared with conventional shock absorbers. Comparative analysis showed that Variant A exhibits smaller torsion angles and direction-dependent damping, while Variant B has larger angles and direction-independent damping; both variants provide an optimal balance between functionality and manufacturing complexity.
References
1. Yaroshevych, M. P., & Sydor, O. V. (2011). Structural synthesis of planar lever mechanisms using graph theory. Industrial Hydraulics and Pneumatics, (3), 77–81.
2. Kharchenko, Ye. V., & Korotkyi, A. M. (2007). Dynamics and synthesis of lever damping devices of vehicles: Monograph. Publishing House of Lviv Polytechnic National University.
3. Pavlyshche, V. P., & Filipchuk, R. P. (2011). Graph-analytical methods in the theory of mechanisms and machines: Modern approaches to structural analysis: Textbook. Publishing House of Lviv Polytechnic National University.
4. Kukhtenkov, Yu. M., & Nazarenko, S. O. (2023). Mathematical models of interaction between structures and fluid and strength and resonance calculations of vane hydraulic machines. Bulletin of the National Technical University “KhPI”. Series: Hydraulic Machines and Hydraulic Units, (1), 82–86. DOI: https://doi.org/10.20998/2411-3441.2023.1.14.
5. Kolomiiets, L. V., & Hurskyi, V. M. (2009). Modified topological models of mechanical systems in the synthesis problems of vibration damping devices. Bulletin of Lviv Polytechnic National University. Dynamics, Strength and Design of Machines and Instruments, (639), 76–81.
6. Shevchenko, S. V., & Bielikov, S. B. (2014). Algorithmization of the structural synthesis of lever mechanisms based on graph adjacency matrices. Bulletin of NTU “KhPI”. Series: Mechanical Engineering and CAD, (58), 121–125.
7. Ding, H., Huang, Z., & Nie, S. (2016). General Theory of Mechanism Synthesis Based on Graph Theory. Springer. DOI: https://doi.org/10.1007/978-981-10-0951-8.
8. Sun, J., & Chu, J. (2018). A new method for the structural synthesis of complex kinematic chains based on graph theory. Mechanism and Machine Theory, 121, 245–262. DOI: https://doi.org/10.1016/j.mechmachtheory.2017.10.019.
9.Rizzi, N. V., & Volpi, M. (2019). Graph-based structural optimization of lever mechanisms in passive shock absorbers. Computers & Structures, 212, 115–128.
10. Wang, M., & Zhou, Z. (2020). Design and optimization of vane-type hydraulic dampers for high-load applications. Journal of Vibration and Control, 26(11–12), 941–955. DOI: https://doi.org/10.1177/1077546319889862.
11. He, X., & Liu, Y. (2021). A unified graph-based modeling method for hydraulic-mechanical coupled systems. Mechanical Systems and Signal Processing, 152, Article 107471. DOI: https://doi.org/10.1016/j.ymssp.2020.107471.
12. Li, Y., & Zhang, W. (2022). Topology synthesis of integrated lever-damping systems using weighted graph representations. Journal of Mechanisms and Robotics, 14(4), Article 041005. DOI: https://doi.org/10.1115/1.4053415.
13. Kaur, R., & Singh, J. (2023). Structural evolution of multi-link suspension systems using graph isomorphism algorithms. Vehicle System Dynamics, 61(8), 2110–2134. DOI: https://doi.org/10.1080/00423114.2022.2125419.
