Abstract
Quasi-zero stiffness (QZS) device is widely studied for their better performance in low-frequency and micro-vibration isolation due to the high-static and low-dynamic (HSLD) stiffness characteristics. The previous QZS isolator with determined parameters is not suitable for variable isolated mass. In this study, a novel compound regulative quasi-zero stiffness air spring (CRQSAS) has been proposed and designed by introducing a bidirectional regulator for the horizontal air springs. The CRQSAS could change the quasi-zero region depending on the payload. To identify the parameters of the convoluted air spring (CAS) and novel rubber air spring (NRAS), the air spring testing system is established. The stiffness functions of air springs are obtained by the multi-parameter fitting method. According to the structure of the CRQSAS, the dynamic model of the system is analyzed and simplified by Taylor Expansion. The harmonic balance method (HBM) is applied to calculate the frequency response and absolute displacement transmissibility. An experimental prototype has been set up to verify the theoretical model and simulation. Compared with the single NRAS, CRQSAS performs better in low-frequency and micro-amplitude vibration. The research proves that CRQSAS is a passive device widely applied for improving isolation precision under low-frequency vibration.
References
Zhang M, Weihua M A, Luo S. Application of levitation frame with mid-set air spring on maglev vehicles. J Phys-Conf Ser, 2019, 1187: 032035
Zhu G N, Liu J Y, Cao Q J, et al. A two degree of freedom stable quasi-zero stiffness prototype and its applications in aseismic engineering. Sci China Tech Sci, 2020, 63: 496–505
Kim S M, Elliott S J, Brennan M J. Decentralized control for multichannel active vibration isolation. IEEE Trans Contr Syst Technol, 2001, 9: 93–100
Palomares E, Nieto A J, Morales A L, et al. Numerical and experimental analysis of a vibration isolator equipped with a negative stiffness system. J Sound Vib, 2018, 414: 31–42
Shan Y H, Wu W J, Chen X D. Design of a miniaturized pneumatic vibration isolator with high-static-low-dynamic stiffness. J Vib Acoust, 2015, 137: 045001
Gao X, Teng H D. Dynamics and isolation properties for a pneumatic near-zero frequency vibration isolator with nonlinear stiffness and damping. Nonlinear Dyn, 2020, 102: 2205–2227
Alabuzhev P M, Rivin E I. Vibration Protecting and Measurement with Quasi-zero Stiffness. New York: Hemisphere Pub. Corp, 1989
Huang X C, Liu X T, Hua H X. Effects of stiffness and load imperfection on the isolation performance of a high-static-low-dynamic-stiffness non-linear isolator under base displacement excitation. Int J Non-Linear Mech, 2014, 65: 32–43
Luo Y, Dong G, Zhang X, et al. Design of a high stiffness and hyperdamping vibration isolator based on negative stiffness mechanism (in Chinese). J Vib Shock, 2017, 36: 239–246
Kovacic I, Brennan M J, Waters T P. A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic. J Sound Vib, 2008, 315: 700–711
Cao Q, Wiercigroch M, Pavlovskaia E E, et al. The limit case response of the archetypal oscillator for smooth and discontinuous dynamics. Int J Non-Linear Mech, 2008, 43: 462–473
Yan G, Zou H X, Wang S, et al. Large stroke quasi-zero stiffness vibration isolator using three-link mechanism. J Sound Vib, 2020, 478: 115344
Shaw A D, Neild S A, Wagg D J, et al. Experimental investigation into a passive vibration isolator incorporating a bistable composite plate. In: 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Boston, 2013. 1833
Wang Y, Li S, Cheng C, et al. Dynamic analysis of a high-static-low-dynamic-stiffness vibration isolator with time-delayed feedback control. Shock Vib, 2015, 2015: 1–19
Zheng Y, Zhang X, Xie S, et al. Theoretical and experimental study of a vibration isolator using a negative stiffness magnetic spring. In: 24th International Conference of Sound and Vibration. London, 2017
Sun X, Xu J, Jing X, et al. Beneficial performance of a quasi-zero-stiffness vibration isolator with time-delayed active control. Int J Mech Sci, 2014, 82: 32–40
Zhou J, Wang X, Xu D, et al. Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam-roller-spring mechanisms. J Sound Vib, 2015, 346: 53–69
Zhang S. A quasi-zero-stiffness vibration isolation system and its application on the on-board precision vibration isolation (in Chinese). Dissertation for Master’s Degree. Changsha: Hunan University, 2011
Ren X D. Characteristics analysis and application study of the quasizero stiffness isolator using air spring (in Chinese). Dissertation for Doctoral Degree. Beijing: Academy of Military Medical Sciences China, 2017
Hao P. Analysis and design of a pneumatic quasi-zero stiffness isolator (in Chinese). Dissertation for Master’s Degree. Changsha: Hunan University. 2018
Vo N Y P, Le T D. Adaptive pneumatic vibration isolation platform. Mech Syst Signal Process, 2019, 133: 106258
Vo N Y P, Nguyen M K, Le T D. Analytical study of a pneumatic vibration isolation platform featuring adjustable stiffness. Commun Nonlinear Sci Numer Simul, 2021, 98: 105775
Gatti G. Statics and dynamics of a nonlinear oscillator with quasi-zero stiffness behaviour for large deflections. Commun Nonlinear Sci Numer Simul, 2020, 83: 105143
Lu Z Q, Liu W H, Ding H, et al. Energy transfer of an axially loaded beam with a parallel-coupled nonlinear vibration isolator. J Vib Acoust, 2022, 144: 051009
Lu Z Q, Brennan M, Ding H, et al. High-static-low-dynamic-stiffness vibration isolation enhanced by damping nonlinearity. Sci China Tech Sci, 2019, 62: 1103–1110
Lu Z, Yang T, Brennan M J, et al. Experimental investigation of a two-stage nonlinear vibration isolation system with high-static-low-dynamic stiffness. J Appl Mech, 2017, 84: 021001
Lu Z Q, Gu D H, Ding H, et al. Nonlinear vibration isolation via a circular ring. Mech Syst Signal Process, 2020, 136: 106490
Hao R B, Lu Z Q, Ding H, et al. Orthogonal six-DOFs vibration isolation with tunable high-static-low-dynamic stiffness: Experiment and analysis. Int J Mech Sci, 2022, 222: 107237
Hao R B, Lu Z Q, Ding H, et al. A nonlinear vibration isolator supported on a flexible plate: Analysis and experiment. Nonlinear Dyn, 2022, 108: 941–958
Sun Z, Xu S, Cheng L, et al. Design and analysis of a pneumatic spring testing system for precision manufacturing. Materials, 2022, 15: 1121
Yin W. Investigation on nonlinear dynamical behavior in automobile air spring suspension system (in Chinese). Dissertation for Doctoral Degree. Beijing: Beijing Jiaotong University, 2007
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This work was supported by the National Key Research and Development Project (Grant No. 2021YFC0122502), and the National Natural Science Foundation of China (Grant Nos. 52205043 and 52275043).
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Shi, Y., Xu, S., Li, Z. et al. Dynamic frequency response characteristics of a compound regulative quasi-zero stiffness air spring system. Sci. China Technol. Sci. 66, 2013–2024 (2023). https://doi.org/10.1007/s11431-022-2268-2
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DOI: https://doi.org/10.1007/s11431-022-2268-2