Beyond a Single Damping Coefficient: Experimental Mapping of Nonlinear and Stroke-Dependent Automotive Shock-Absorber Behaviour

Authors

  • Avicenna An-Nizhami Politeknik Negeri Semarang
  • Ignatius Gunawan Widodo Politeknik Negeri Semarang
  • Muhammad Showi Nailul Ulum Politeknik Negeri Semarang
  • Elfrida Politeknik Negeri Semarang
  • Ahmad Mamba’udin Politeknik Negeri Semarang
  • Yuris Bahadur Wirawan Politeknik Negeri Semarang

DOI:

https://doi.org/10.32497/jmeat.v4i2.7842

Keywords:

Automotive shock absorber, nonlinear damping, force–velocity characteristics, stroke dependence, experimental testing

Abstract

Shock absorbers are commonly represented by a constant viscous damping coefficient, although their actual force response may vary nonlinearly with piston velocity, stroke amplitude, and operating conditions. This study experimentally compared the damping characteristics of original and aftermarket rear shock absorbers using a laboratory test rig with variable-speed and variable-stroke operation. Both specimens were tested at strokes of 60, 90, and 120 mm and excitation frequencies of 0.5–2.0 Hz, corresponding to peak piston velocities of 0.0942–0.7539 m/s. Maximum damping forces were measured using a force gauge, and the resulting force–velocity relationships were evaluated before and after modification of the test rig. Three-term sinusoidal functions were also fitted to the measured data using the MATLAB Curve Fitting Tool. Both shock absorbers exhibited nonlinear digressive behaviour, characterised by a rapid force increase at low-to-intermediate velocities followed by a stroke-dependent high-speed plateau. Matched-velocity comparisons showed that damping force varied with stroke even at approximately equal peak velocities, demonstrating that the response was not governed by piston velocity alone. Using the post-modification data, the aftermarket shock absorber generated an average damping force 15.8% higher than the original unit over the complete test matrix. Its peak force exceeded that of the original shock absorber by 29.4%, 9.8%, and 12.6% at strokes of 60, 90, and 120 mm, respectively. The corresponding apparent damping coefficients were also consistently higher for the aftermarket unit. These findings demonstrate that shock-absorber performance should be evaluated using experimentally determined force–velocity operating maps across multiple strokes and velocities rather than a single nominal damping coefficient.

References

Dixon, J. C. (2007). The Shock Absorber Handbook (2nd ed.). John Wiley & Sons.

Duym, S., Stiens, R., and Reybrouck, K. (1997). Evaluation of shock absorber models. Vehicle System Dynamics, 27(2), 109–127. https://doi.org/10.1080/00423119708969325.

Basso, R. (1998). Experimental characterization of damping force in shock absorbers with constant velocity excitation. Vehicle System Dynamics, 30(6), 431–442. https://doi.org/10.1080/00423119808969459.

Duym, S. W. R. (2000). Simulation tools, modelling and identification for an automotive shock absorber in the context of vehicle dynamics. Vehicle System Dynamics, 33(4), 261–285.

Lee, C. T., and Moon, B. Y. (2006). Simulation and experimental validation of vehicle dynamic characteristics for displacement-sensitive shock absorber using fluid-flow modelling. Mechanical Systems and Signal Processing, 20(2), 373–388. https://doi.org/10.1016/j.ymssp.2004.09.006.

Rao, M. D., Gruenberg, S., and Torab, H. (1999). Measurement of dynamic properties of automotive shock absorbers for NVH. SAE Technical Paper 1999-01-1840. https://doi.org/10.4271/1999-01-1840.

Talbott, M. S., and Starkey, J. (2002). An experimentally validated physical model of a high-performance mono-tube damper. SAE Technical Paper 2002-01-3337. https://doi.org/10.4271/2002-01-3337.

Boggs, C., Ahmadian, M., and Southward, S. (2010). Efficient empirical modelling of a high-performance shock absorber for vehicle dynamics studies. Vehicle System Dynamics, 48(4), 481–505. https://doi.org/10.1080/00423110902906292.

Cui, Y., Kurfess, T. R., and Messman, M. (2010). Testing and modeling of nonlinear properties of shock absorbers for vehicle dynamics studies. In Proceedings of the World Congress on Engineering and Computer Science 2010, Vol. II, pp. 949–954.

Farjoud, A., Ahmadian, M., Craft, M., and Burke, W. (2012). Nonlinear modeling and experimental characterization of hydraulic dampers: Effects of shim stack and orifice parameters on damper performance. Nonlinear Dynamics, 67(2), 1437–1456. https://doi.org/10.1007/s11071-011-0079-2.

Cui, Y., and Sun, F. (2013). Empirical modeling of nonlinear and hysteresis characteristics of the shock absorber. High Technology Letters, 19(3), 267–272. https://doi.org/10.3772/j.issn.1006-6748.2013.03.008.

Konieczny, Ł. (2016). Analysis of simplifications applied in vibration damping modelling for a passive car shock absorber. Shock and Vibration, 2016, Article 6182847. https://doi.org/10.1155/2016/6182847.

Barethiye, V., Pohit, G., and Mitra, A. (2017). A combined nonlinear and hysteresis model of shock absorber for quarter car simulation on the basis of experimental data. Engineering Science and Technology, an International Journal, 20(6), 1610–1622. https://doi.org/10.1016/j.jestch.2017.12.003.

Silveira, M., Pontes, B. R., and Balthazar, J. M. (2014). Use of nonlinear asymmetrical shock absorber to improve comfort on passenger vehicles. Journal of Sound and Vibration, 333(7), 2114–2129. https://doi.org/10.1016/j.jsv.2013.12.001.

Wang, W. L., Zhou, Z., Yu, D., Qin, Q., and Iwnicki, S. (2017). Rail vehicle dynamic response to a nonlinear physical “in-service” model of its secondary suspension hydraulic dampers. Mechanical Systems and Signal Processing, 95, 138–157. https://doi.org/10.1016/j.ymssp.2017.03.031.

Ferdek, U., and Łuczko, J. (2018). Nonlinear modeling and analysis of a shock absorber with a bypass. Journal of Theoretical and Applied Mechanics, 56(3), 615–629. https://doi.org/10.15632/jtam-pl.56.3.615.

Fernandes, J. C. M., Gonçalves, P. J. P., and Silveira, M. (2020). Interaction between asymmetrical damping and geometrical nonlinearity in vehicle suspension systems improves comfort. Nonlinear Dynamics, 99, 1561–1576. https://doi.org/10.1007/s11071-019-05374-y.

An-Nizhami, A., Sriyanto, N. B., Sumiyarso, B., Ulum, S. N., Riadini, E. R., and Widodo, I. G. (2023). Experimental and numerical study of shock absorber characterization and the implication on the dynamics of a half-vehicle suspension system model. Jurnal Rekayasa Mesin, 18(3), 409–418. https://doi.org/10.32497/jrm.v18i3.5023.

Tran, H. N., Gunawan, F. E., and Pham, N. D. (2023). Influence of a nonlinear asymmetric shock absorber on vibration of a bus subjected to harmonic excitation. Journal of Vibroengineering, 26(1), 128–138. https://doi.org/10.21595/jve.2023.23404.

An-Nizhami, A., Herlambang, Y. D., Apriandi, N., Bono, Sugiono, F. A. F., Sai’in, A., Widodo, I. G., and Yanuar, P. (2025). Modeling the dynamics of a passenger car using experimental data on nonlinear passive shock absorbers. Automotive Experiences, 8(1), 32–45. https://doi.org/10.31603/ae.12792.

Ata, W. G., and Salem, A. M. (2025). Experimental characterisation and nonparametric modeling of an armoured-vehicle hydraulic shock absorber under periodic excitations. Journal of Vibration Engineering & Technologies, 13, Article 311. https://doi.org/10.1007/s42417-025-01830-9.

Titurus, B., du Bois, J., Lieven, N., and Hansford, R. E. (2010). A method for the identification of hydraulic damper characteristics from steady velocity inputs. Mechanical Systems and Signal Processing, 24(8), 2868–2887.

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Published

2026-07-25