Abstract
The quasi-zero stiffness (QZS) isolator has the characteristics of high-static and low-dynamic stiffness, and shows good vibration isolation performance. In this paper, a novel vehicle-mounted QZS vibration isolator is designed, which includes negative stiffness spring mechanism, cam-roller mechanism with actuator, initial static balance adjustment mechanism and initial locking mechanism. Through the adjustment of the initial stage, it can adapt to different loads. The conditions of realizing QZS of the isolator are derived, and the nonlinearity is shown in the frequency domain. Further, the output feedback H-infinity optimal control strategy based on constraints is applied to the designed vehicle-mounted QZS isolator. To test the performance of the isolator, numerical simulation is studied under the low-frequency large amplitude excitation and high-frequency small amplitude excitation in time domain. The results show that the designed QZS vibration isolator and its active controller have a good vibration isolation effect for large amplitude excitation from the road. Especially, under the excitation of small amplitude, very small active control force can significantly improve the vibration isolation effect.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Data Availability
All data generated during this study are included in this published paper.
References
Ahn HJ, Lim SH, Park C (2016) An integrated design of quasi-zero stiffness mechanism. J Mech Sci Technol 30:1071–1075. https://doi.org/10.1007/s12206-016-0210-x
Chai K, Lou JJ, Yang QC, Xiang YU (2019) Vibration isolation system based on high-static-low-dynamic-stiffness with dual time-delay feedback control. J Ship Mech 23(5):611–620. https://doi.org/10.3969/j.issn.1007-7294.2019.05.013
Chen Y, Wen H, Jin D (2020) Design and experiment of a noncontact electromagnetic vibration isolator with controllable stiffness. Acta Astronaut 168:130–137. https://doi.org/10.1016/j.actaastro.2019.12.004
Chen R, Li X, Yang Z, Xu J, Yang H (2021) A variable positive-negative stiffness joint with low frequency vibration isolation performance. Measurement 185(110046):1–11. https://doi.org/10.1016/j.measurement.2021.110046
Cheng C, Li SM, Wang Y, Jiang XX (2016) On the analysis of a high-static-low-dynamic stiffness vibration isolator with time-delayed cubic displacement feedback. J Sound Vib 378:76–91. https://doi.org/10.1016/j.jsv.2016.05.029
Cheng C, Li SM, Wang Y, Jiang XX (2017a) Performance analysis of high-static-low-dynamic stiffness vibration isolator with time-delayed displacement feedback. J Cent South Univ 24(10):2294–2305. https://doi.org/10.1007/s11771-017-3641-3
Cheng C, Li S, Wang Y, Jiang X (2017b) Force and displacement transmissibility of a quasi-zero stiffness vibration isolator with geometric nonlinear damping. Nonlinear Dyn 87:2267–2279. https://doi.org/10.1007/s11071-016-3188-0
Choi HD, Ahn CK, Lim MT, Song MK (2016) Dynamic output-feedback H∞ control for active half-vehicle suspension systems with time-varying input delay. Int J Control Autom Syst 14(1):59–68. https://doi.org/10.1007/s12555-015-2005-8
Hao RB, Lu ZQ, Ding H, Chen LQ (2022a) A nonlinear vibration isolator supported on a flexible plate: analysis and experiment. Nonlinear Dyn 108:941–958. https://doi.org/10.1007/s11071-022-07243-7
Hao RB, Lu ZQ, Ding H, Chen LQ (2022) Orthogonal six-DOFs vibration isolation with tunable high-static-low-dynamic stiffness: experiment and analysis. Int J Mech Sci 222:107237. https://doi.org/10.1016/j.ijmecsci.2022.107237
Jin G, Wang Z, Yang T (2022) Cascaded quasi-zero stiffness nonlinear low-frequency vibration isolator inspired by human spine. Appl Math Mech (English Ed) 43(6):813–824. https://doi.org/10.1007/s10483-022-2852-5
Kim J, Jeon Y, Um S, Park U, Kim KS, Kim S (2019) A novel passive quasi-zero stiffness isolator for ultra-precision measurement systems. Int J Precis Eng Manuf 20:1573–1580
Kovacic I, Brennan MJ, Waters TP (2008) A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic. J Sound Vib 315:700–711. https://doi.org/10.1016/j.jsv.2007.12.019
Liu S, Su P, Yang L, Feng X, Liu H (2020) Experimental investigation of a five-spring vibration isolator. J Phys Conf Ser 1707(1):012007. https://doi.org/10.1088/1742-6596/1707/1/012007
Liu C, Yu K, Liao B, Hu R (2021) Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter. Commun Nonlinear Sci Numer Simul 95:105654. https://doi.org/10.1016/j.cnsns.2020.105654
Lu ZQ, Liu WH, Ding H, Chen LQ (2022) Energy transfer of an axially loaded beam with a parallel-coupled nonlinear vibration isolator. J Vib Acoust 144(5):051009
Naeeni IP, Ghayour M, Keshavarzi A, Moslemi A (2019) Theoretical analysis of vibration pickups with quasi-zero-stiffness characteristic. Acta Mech 230:3205–3220. https://doi.org/10.1007/s00707-019-02465-0
Pan S, Chen J, Liu S, Wu J (2022) Design and analysis of a vibration isolator with adjustable high static-low dynamic stiffness. Iran J Sci Technol Trans Mech Eng. https://doi.org/10.1007/s40997-022-00491-3
Sonfack Bouna H, Nana Nbendjo BR, Woafo P (2020) Isolation performance of a quasi-zero stiffness isolator in vibration isolation of a multi-span continuous beam bridge under pier base vibrating excitation. Nonlinear Dyn 100:1125–1141. https://doi.org/10.1007/s11071-020-05580-z
Suman S, Balaji PS, Selvakumar K, Kumaraswamidhas LA (2021) Nonlinear vibration control device for a vehicle suspension using negative stiffness mechanism. J Vib Eng Technol 9:957–966
Sun W, Pan H, Zhang Y, Gao HJ (2014) Multi-objective control for uncertain nonlinear active suspension systems. Mechatronics 24(4):318–327. https://doi.org/10.1016/j.mechatronics.2013.09.009
Sun Y, Zhao J, Wang M, Sun Y, Pu H, Luo J, Peng Y, Xie S, Yang Y (2020) High-static–low-dynamic stiffness isolator with tunable electromagnetic mechanism. IEEE/ASME Trans Mechatron 25(1):316–326. https://doi.org/10.1109/TMECH.2019.2954910
Sun X, Qi Z, Xu J (2022) A novel multi-layer isolation structure for transverse stabilization inspired by neck structure. Acta Mech Sin 38:521543. https://doi.org/10.1007/s10409-022-09039-x
Tuo JY, Deng ZX, Zhang HS, Huang W (2019) Quasi-zero-stiffness vibration sensor system. J Jilin Univ (Eng Technol Ed) 49(1):24–29. https://doi.org/10.13229/j.cnki.jdxbgxb20170387
Wang Y, Li S, Cheng C, Jiang X (2015) Dynamic analysis of a high-static-low-dynamic-stiffness vibration isolator with time-delayed feedback control. Shock Vib 3(4):1–19. https://doi.org/10.1155/2015/712851
Wang G, Chen C, Yu S (2016) Optimization and static output-feedback control for half-car active suspensions with constrained information. J Sound Vib 378:1–13. https://doi.org/10.1016/j.jsv.2016.05.033
Wang X, Zhou J, Xu D, Ouyang H, Duan Y (2017) Force transmissibility of a two-stage vibration isolation system with quasi-zero stiffness. Nonlinear Dyn 87:633–646. https://doi.org/10.1007/s11071-016-3065-x
Wang Q, Zhou J, Xu D, Ouyang H (2020) Design and experimental investigation of ultra-low frequency vibration isolation during neonatal transport. Mech Syst Signal Process 139:1066331–10663319. https://doi.org/10.1016/j.ymssp.2020.106633
Wang K, Zhou J, Ouyang H, Cheng L, Xu D (2020) A semi-active metamaterial beam with electromagnetic quasi-zero-stiffness resonators for ultralow-frequency band gap tuning. Int J Mech Sci 176:105548. https://doi.org/10.1016/j.ijmecsci.2020.105548
Wei C, Zhang K, Cai Y, Wang Z, Yu W (2018) A new method of static output-feedback H∞ controller design for 5 DOF vehicle active suspension system. J Braz Soc Mech Sci Eng 40(132):1–12. https://doi.org/10.1007/s40430-018-1054-3
Wei C, Cai Y, Zhang K, Wang Z, Yu W (2020) Novel optimal design approach for output-feedback H∞ control of vehicle active seat-suspension system. Asian J Control 22(1):411–422. https://doi.org/10.1002/asjc.1887
Wen G, Lin Y, He JF (2022) A quasi-zero-stiffness isolator with a shear-thinning viscous damper. Appl Math Mech (English Ed) 43(3):311–326. https://doi.org/10.1007/s10483-022-2829-9
Xie Y, Niu F, Sun J, Meng L (2022) Design and analysis of a novel quasi-zero stiffness isolator under variable loads. Math Probl Eng 2022:1–17. https://doi.org/10.1155/2022/9082752
Yan G, Zou HX, Wang S, Zhao LC, Zhang WM (2020) Large stroke quasi-zero stiffness vibration isolator using three-link mechanism. J Sound Vib 478:115344. https://doi.org/10.1016/j.jsv.2020.115344
Yan B, Wang X, Wang Z, Wu C, Zhang W (2022) Enhanced lever-type vibration isolator via electromagnetic shunt damping. Int J Mech Sci. https://doi.org/10.1016/j.ijmecsci.2022.107070
Yan B, Ling P, Zhou Y, Wu C, Zhang W (2022) Shock isolation characteristics of a bistable vibration isolator with tunable magnetic controlled stiffness. J Vib Acoust 144(2):021008. https://doi.org/10.1115/1.4051850
Yan G, Zou HX, Wang S, Zhao LC, Zhang WM (2022) Bio-inspired toe-like structure for low-frequency vibration isolation. Mech Syst Signal Process 162:108010. https://doi.org/10.1016/j.ymssp.2021.108010
Yang QC, Chai K, Lou JJ, Zhu SJ (2018) Generalized chaotic synchronization for two-degree-of-freedom vibration isolation system with high-static-low-dynamic-stiffness. J Vib Eng 31(4):620–628. https://doi.org/10.16385/j.cnki.issn.1004-4523.2018.04.009
Yao Y, Li H, Li Y, Wang X (2020) Analytical and experimental investigation of a high-static-low-dynamic stiffness isolator with cam-roller-spring mechanism. Int J Mech Sci 186:105888. https://doi.org/10.1016/j.ijmecsci.2020.105888
Ye K, Ji JC (2022) An origami inspired quasi-zero stiffness vibration isolator using a novel truss-spring based stack miura-ori structure. Mech Syst Signal Process 165:108383–108395. https://doi.org/10.1016/j.ymssp.2021.108383
Yuan S, Sun Y, Zhao J, Meng K, Xie S et al (2020) A tunable quasi-zero stiffness isolator based on a linear electromagnetic spring. J Sound Vib 482:115449. https://doi.org/10.1016/j.jsv.2020.115449
Yuan S, Sun Y, Wang M, Ding J, Yang XD (2021) Tunable negative stiffness spring using Maxwell normal stress. Int J Mech Sci 193:106127. https://doi.org/10.1016/j.ijmecsci.2020.106127
Zhang Y, Mao YF, Wang Z, Gao CF (2021) Nonlinear low frequency response research for a vibration isolator with quasi-zero stiffness characteristic. KSCE J Civ Eng 25(5):1849–1856
Zhang Y, Wei G, Wen H, Jin D, Hu H (2022) Design and analysis of a vibration isolation system with cam–roller–spring–rod mechanism. J Vib Control 28(13–14):1781–1791. https://doi.org/10.1177/10775463211000516
Zhao ZM, Wei K, Ren JJ, Xu GF, Du XG, Wang P (2021a) Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators. J Zhejiang Uni-Sci A (Appl Phys Eng) 22(1):37–52
Zhao F, Ji J, Ye K, Luo Q (2021) An innovative quasi-zero stiffness isolator with three pairs of oblique springs. International Journal of Mechanical Sciences 192(15):106093. https://doi.org/10.1016/j.ijmecsci.2020.106093
Zhou J, Wang X, Xu D, Bishop S (2015) Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam-roller-spring mechanisms. J Sound Vib 346:53–69. https://doi.org/10.1016/j.jsv.2015.02.005
Zhou Z, Chen S, Xia D, He J, Zhang P (2019) The design of negative stiffness spring for precision vibration isolation using axially magnetized permanent magnet rings. J Vib Control. https://doi.org/10.1177/1077546319866035
Zhou Z, Dai Z, Liu Z, Liu X, Zhou M (2022) An adjustable low frequency vibration isolation with high-static-stiffness low-dynamic-stiffness property using a novel negative stiffness element. Appl Acoust 188(6):108571. https://doi.org/10.1016/j.apacoust.2021.108571
Zuo S, Wang D, Zhang Y, Luo Q (2022) Design and testing of a parabolic cam-roller quasi-zero-stiffness vibration isolator. Int J Mech Sci 220:107146. https://doi.org/10.1016/j.ijmecsci.2022.107146
Acknowledgements
No funding was received to assist with the preparation of this manuscript.
Author information
Authors and Affiliations
Contributions
CW provided all the data of this paper and was the only contributor in writing this paper. The author read and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The only author declares that he has no conflict of interest. This work has not been published before and its publication has been approved by the author.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wei, C. Design and Analysis of a Novel Vehicle-Mounted Active QZS Vibration Isolator. Iran J Sci Technol Trans Mech Eng 47, 2121–2131 (2023). https://doi.org/10.1007/s40997-023-00622-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40997-023-00622-4