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ARTICLE
Nonlinear damping identification using an extended stabilized layers method
1
Mechanics, Modelling and Production Laboratory (LA2MP), National Engineering School of Sfax, University of Sfax, Sfax, Tunisia
Submission date: 2025-12-27
Final revision date: 2026-02-25
Acceptance date: 2026-03-25
Online publication date: 2026-05-21
Corresponding author
Nourhaine YOUSFI
Mechanics, Modelling and Production Laboratory (LA2MP), National Engineering School of Sfax, University of Sfax, Sfax, Tunisia
Mechanics, Modelling and Production Laboratory (LA2MP), National Engineering School of Sfax, University of Sfax, Sfax, Tunisia
KEYWORDS
nonlinear damping identificationstabilized layers methodtime-varying stiffnesssystemidentificationsidebands
TOPICS
ABSTRACT
In many practical mechanical systems, the dynamic response is strongly influenced by time-varying stiffness, often coupled with nonlinear damping effects. Neglecting stiffness variability may lead to inaccurate predictions of vibration amplitudes and energy dissipation. This study is the first to extend and apply the stabilized layers method for nonlinear (SLMnl) damping identification to mechanical systems with time-varying stiffness. The SLMnl,kv is developed for multi-degree-offreedom systems exhibiting nonlinear damping and time-varying stiffness. The effectiveness of the proposed method is demonstrated through its application to a spur gear pair system characterized by nonlinear damping and time-varying mesh stiffness.
REFERENCES (22)
1.
Al-hababi, T., Cao, M., Saleh, B., Alkayem, N.F., & Xu, H. (2020). A critical review of nonlinear damping identification in structural dynamics: Methods, applications, and challenges. Sensors, 20 (24), Article 7303. https://doi.org/10.3390/s20247....
2.
Amabili, M., Alijani, F., & Delannoy, J. (2016). Damping for large-amplitude vibrations of plates and curved panels, part 2: Identification and comparisons. International Journal of Non-Linear Mechanics, 85, 226–240. https://doi.org/10.1016/j.ijno....
3.
Balasubramanian, P., Ferrari, G., & Amabili, M. (2018). Identification of the viscoelastic response and nonlinear damping of a rubber plate in nonlinear vibration regime. Mechanical Systems and Signal Processing, 111, 376–398. https://doi.org/10.1016/j.ymss....
4.
Belhaq, M., Kirrou, I., & Mokni, L. (2013). Periodic and quasiperiodic galloping of a wind-excited tower under external excitation. Nonlinear Dynamics, 74(3), 849–867. https://doi.org/10.1007/s11071....
5.
Bonisoli, E., Lisitano, D., & Vigliani, A. (2019). Damping identification and localisation via Layer Method: Experimental application to a vehicle chassis focused on shock absorbers effects. Mechanical Systems and Signal Processing, 116, 194–216. https://doi.org/10.1016/j.ymss....
6.
Chatterjee, A., & Chintha, H.P. (2020). Identification and parameter estimation of cubic nonlinear damping using harmonic probing and Volterra series. International Journal of Non-Linear Mechanics, 125, Article 103518. https://doi.org/10.1016/j.ijno....
7.
Chen, R., Lv, J., Tian, J., Ai, Y., Zhang, F., & Yao, Y. (2024). Modeling and nonlinear dynamic characteristics analysis of fault bearing time-varying stiffness-flexible rotor coupling system. Mathematics, 12 (22), Article 3591. https://doi.org/10.3390/math12....
8.
Clough, R.W., & Penzien, J. (1993). Dynamics of structures (2nd ed.). McGraw-Hill.
9.
Eberle, R. (2025). Estimating nonlinear damping for mechanical single-degree-of-freedom systems: A robust and effective approach. Proceedings in Applied Mathematics and Mechanics, 25 (1), Article e202400158. https://doi.org/10.1002/pamm.2....
10.
Guo, Z., Zhang, Y., Sheng, M., Liu, L., & Li, Y. (2025). Vibration characteristics of a beam with elastic time-varying stiffness boundaries. Applied Sciences, 15 (21), Article 11365. https://doi.org/10.3390/app152....
11.
Haghdoust, P., Lo Conte, A., Cinquemani, S., & Lecis, N. (2018). A numerical method to model non-linear damping behaviour of martensitic shape memory alloys. Materials, 11 (11), Article 2178. https://doi.org/10.3390/ma1111....
12.
Han, S.L., & Kinoshita, T. (2012). Nonlinear damping identification in nonlinear dynamic system based on stochastic inverse approach. Mathematical Problems in Engineering, 2012(1), Article 574291. https://doi.org/10.1155/2012/5....
13.
Li, C., Hao, J., Liu, H., Hua, C., & Yao, Z. (2024). Nonlinear parametric vibration and stability analysis of worm drive system with time-varying meshing stiffness and backlash. Journal of Sound and Vibration, 575, Article 118264. https://doi.org/10.1016/j.jsv.....
14.
Lisitano, D., & Bonisoli, E. (2021). Direct identification of nonlinear damping: application to a magnetic damped system. Mechanical Systems and Signal Processing, 146, Article 107038. https://doi.org/10.1016/j.ymss....
15.
Lisitano, D., Bonisoli, E., & Mottershead, J.E. (2018). Experimental direct spatial damping identification by the Stabilised Layers Method. Journal of Sound and Vibration, 437, 325–339. https://doi.org/10.1016/j.jsv.....
16.
Liu, Q., Wang, Y., Sun, P., & Wang, D. (2022). Comparative analysis of viscous damping model and hysteretic damping model. Applied Sciences, 12 (23), Article 12107. https://doi.org/10.3390/app122....
17.
Paz, M. (1991). Structural dynamics: Theory and computation (3rd ed.). Van Nostrand Reinhold.
18.
Qu, C., Tu, G., Gao, F., Sun, L., Pan, S., & Chen, D. (2024). Review of bridge structure damping model and identification method. Sustainability, 16 (21), Article 9410. https://doi.org/10.3390/su1621....
19.
Sofroniou, A., & Bishop, S. (2014). Dynamics of a parametrically excited system with two forcing terms. Mathematics, 2 (3), 172–195. https://doi.org/10.3390/math20....
20.
Wei, S., Chu, F.-L., Ding, H., & Chen, L.-Q. (2021). Dynamic analysis of uncertain spur gear systems. Mechanical Systems and Signal Processing, 150, Article 107280. https://doi.org/10.1016/j.ymss....
21.
Yousfi, N., Zghal, B., Akrout, A., Walha, L., & Haddar, M. (2018). Damping models identification of a spur gear pair. Mechanism and Machine Theory, 122, 371–388. https://doi.org/10.1016/j.mech....
22.
Zahid, F.B., Ong, Z.C., & Khoo, S.Y. (2020). A review of operational modal analysis techniques for in-service modal identification. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(8), Article 398. https://doi.org/10.1007/s40430....
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