e-ISSN 2231-8526
ISSN 0128-7680
Wan Muhammad Amir, Roszaidi Ramlan, Mohd Nazim Abdul Rahman, Azma Putra Azis, Abd Rahman Dullah and Kok Swee Leong
Pertanika Journal of Science & Technology, Volume 33, Issue 2, March 2025
DOI: https://doi.org/10.47836/pjst.33.2.25
Keywords: Hardening stiffness, nonlinear dynamic vibration absorber, piecewise stiffness, softening stiffness
Published on: 2025-03-07
Linear dynamic vibration absorber (DVA) efficiently suppresses the structural vibration within the 3 dB amplitude frequency bandwidth. Beyond this bandwidth, it may not be effective in suppressing the vibration. In fact, if not properly tuned, it may increase the vibration of the structure. This study examines a DVA mechanism incorporating a unique piecewise and magnetic stiffness combination. By integrating these two types of stiffness, the DVA operates in nonlinear modes, improving its ability to dampen vibrations over a wider frequency range. The positioning of limit blocks and the gap between magnets allows precise control over the level of nonlinearity for each mode, namely, hardening, softening and combined modes. Quasi-static measurements were conducted to analyse the static characteristics of the device for each mode. Dynamic measurements were conducted to analyse the device's dynamic performance in deflection-frequency characteristics, providing insights into the device's response across a frequency range (10 Hz to 50 Hz) for each mode. This evaluation helped assess the proposed mechanism's ability as a DVA to mitigate vibrations with varying frequencies. The measurement results from the three modes were compared. While hardening and softening modes proved to be able to widen the bandwidth, the combined mode was the most effective one in widening the bandwidth as its operation covers both operating regions of softening and hardening modes. The decrease in the multi-stable solution frequency region ensures that the NDVA operates with a larger amplitude in the vibration suppression region more favourably.
Brennan, M. J., Kovacic, I., Carrella, A., & Waters, T. P. (2008). On the jump-up and jump-down frequencies of the Duffing oscillator. Journal of Sound and Vibration, 318(4–5), 1250–1261. https://doi.org/10.1016/J.JSV.2008.04.032
Cheng, Y., Peng, Z., Wen, H., Song, H., & Cui, Z. (2022). Design of multi-mode low-frequency vibration suppressor based on dynamic vibration absorption principle. International Journal of Acoustics and Vibration. 27(3), 265-275. https://doi.org/10.20855/ijav.2022.27.31870
Dou, J., Yao, H., Cao, Y., & Wang, Z. (2023). Permanent magnet based nonlinear energy sink for torsional vibration suppression of rotor systems. International Journal of Non-Linear Mechanics, 149, Article 104321. https://doi.org/10.1016/j.ijnonlinmec.2022.104321.
Gatti, G., Brennan, M. J., & Tang, B. (2019). Some diverse examples of exploiting the beneficial effects of geometric stiffness nonlinearity. Mechanical Systems and Signal Processing, 125, 4–20. https://doi.org/10.1016/J.YMSSP.2018.08.024
Guo, X., Zhu, Y., Qu, Y., & Cao, D. (2022). Design and experiment of an adaptive dynamic vibration absorber with smart leaf springs. Applied Mathematics and Mechanics, 43(10), 1485-1502. https://doi.org/10.1007/s10483-022-2905-6
Huang, H., Yuan, Z., & Liu, W. (2021). Design strategy for optimising the bandwidth of the hardening vibration generator with customised response. Sensors and Actuators A: Physical, 332, Article 113197. https://doi.org/10.1016/J.SNA.2021.113197
Jin, Y., Liu, K., Xiong, L., & Tang, L. (2022). A non-traditional variant nonlinear energy sink for vibration suppression and energy harvesting. Mechanical Systems and Signal Processing. 181, Article 109479. https://doi.org/10.1016/j.ymssp.2022.109479.
Kakou, P., Gupta, S. K., & Barry, O. (2024). A nonlinear analysis of a Duffing oscillator with a nonlinear electromagnetic vibration absorber–inerter for concurrent vibration mitigation and energy harvesting. Nonlinear Dynamics. 112(8), 5847-5862. https://doi.org/10.1007/s11071-023-09163-6
Kassem, M., Yang, Z., Gu, Y., Wang, W., & Safwat, E. (2020). Active dynamic vibration absorber for flutter suppression. Journal of Sound and Vibration, 469, Article 115110. https://doi.org/10.1016/j.jsv.2019.115110
Komatsuzaki, T., Inoue, T., & Terashima, O. (2016). Broadband vibration control of a structure by using a magnetorheological elastomer-based tuned dynamic absorber. Mechatronics, 40, 128–136. https://doi.org/10.1016/j.mechatronics.2016.09.006
Li, L., & Cui, P. (2017). Novel design approach of a nonlinear tuned mass damper with duffing stiffness. Journal of Engineering Mechanics, 143(4), Article 04017004. https://doi.org/10.1061/(asce)em.1943-7889.0001229
Low, P., Ramlan, R., Ghani, H. A., & Muhammad, N. S. (2020). Experimental analysis on the transduction coefficient of a nonlinear electromagnetic energy harvesting device with softening stiffness. International Journal of Automotive and Mechanical Engineering, 7(2), 7816–7831. https://doi.org/10.15282/ijame.17.2.2020.01.0582
Mustaffer, M. H., Ramlan, R., Nazim, M., Rahman, A., & Putra, A. (2020). Experimental characterisation and performance of dynamic vibration absorber with tunable piecewise-linear stiffness. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(3), Article 355. https://doi.org/10.1007/s40430-020-02435-x
Ramlan, R., Brennan, M. J., Mace, B. R., & Kovacic, I. (2010). Potential benefits of a nonlinear stiffness in an energy harvesting device. Nonlinear Dynamics, 59(4), 545–558. https://doi.org/10.1007/s11071-009-9561-5
Rezaei, M., Talebitooti, R., Liao, W. H., & Friswell, M. I. (2024). A comparative study on vibration suppression and energy harvesting via mono-, bi-, and tri-stable piezoelectric nonlinear energy sinks. Nonlinear Dynamics, 112(13), 10871-10910. https://doi.org/10.1007/s11071-024-09562-3
Rong, K., Lu, Z., Zhang, J., Zhou, M., & Huang, W. (2023). Nonlinear gas-spring DVA for seismic response control: Experiment and numerical simulation, Engineering Structures, 283, Article 115940. https://doi.org/10.1016/j.engstruct.2023.115940.
Shui, X., & Wang, S. (2018). Investigation on a mechanical vibration absorber with tunable piecewise-linear stiffness. Mechanical Systems and Signal Processing, 100, 330–343. https://doi.org/10.1016/J.YMSSP.2017.05.046
Sun, C., Eason, R. P., Nagarajaiah, S., & Dick, A. J. (2013). Hardening Düffing oscillator attenuation using a nonlinear TMD, a semi-active TMD and multiple TMD. Journal of Sound and Vibration, 332(4), 674–686. https://doi.org/10.1016/j.jsv.2012.10.016
Sun, C., & Nagarajaiah, S. (2019). Study of a novel adaptive passive stiffness device and its application for seismic protection. Journal of Sound and Vibration, 443, 559–575. https://doi.org/10.1016/j.jsv.2018.12.015
Wang, X., Wu, H., & Yang, B. (2020). Nonlinear multi-modal energy harvester and vibration absorber using magnetic softening spring. Journal of Sound and Vibration, 476, Article 115332. https://doi.org/10.1016/j.jsv.2020.115332
ISSN 0128-7680
e-ISSN 2231-8526