A quasi-zero-stiffness isolator with a shear-thinning viscous damper

doi:10.1007/s10483-022-2829-9

Abstract

Abstract: Quasi-zero-stiffness (QZS) vibration isolators have been widely studied, because they show excellent high static and low dynamic stiffnesses and can effectively solve low-frequency and ultralow-frequency vibration. However, traditional QZS (T-QZS) vibration isolators usually adopt linear damping, owing to which achieving good isolation performance at both low and high frequencies is difficult. T-QZS isolators exhibit hardening stiffness characteristics, and their vibration isolation performance is even worse than that of linear vibration isolators under a large excitation amplitude. Therefore, this study proposes a QZS isolator with a shear-thinning viscous damper (SVD) to improve the vibration isolation performance of the T-QZS isolators. The force-velocity relation of the SVD is obtained, and a dynamic model is established for the isolator. The dynamic responses of the system are solved using the harmonic balance method (HBM) and the Runge-Kutta method. The vibration isolation performance of the system is evaluated using force transmissibility, and the isolator parameters are analyzed. The results show that compared with the T-QZS isolators, the proposed QZS-SVD isolator achieves the lower initial vibration isolation frequency and peak value, and exhibits better vibration isolation performance at medium and high frequencies. Moreover, the proposed isolator can withstand a large excitation amplitude in the effective vibration isolation range.

Key words: quasi-zero-stiffness (QZS) isolator, shear-thinning viscous damper (SVD), vibration isolation, force transmissibility

2010 MSC Number:

74H45

Guilin WEN, Yu LIN, Junfeng HE. A quasi-zero-stiffness isolator with a shear-thinning viscous damper. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 311-326.

TrendMD

References

[1] IBRAHIM, R. A. Recent advances in nonlinear passive vibration isolators. Journal of Sound and Vibration, 314(3-5), 371–452(2008)
[2] LIU, J., CHEN, T., ZHANG, Y., WEN, G., QING, Q., WANG, H., SEDAGHATI, R., and XIE, Y. M. On sound insulation of pyramidal lattice sandwich structure. Composite Structures, 208, 385–394(2019)
[3] ZHANG, S. J., TO, S., ZHANG, G. Q., and ZHU, Z. W. A review of machine-tool vibration and its influence upon surface generation in ultra-precision machining. International Journal of Machine Tools & Manufacture, 91, 34–42(2015)
[4] LI, L., TAN, L., KONG, L., WANG, D., and YANG, H. The influence of flywheel micro vibration on space camera and vibration suppression. Mechanical Systems and Signal Processing, 100, 360–370(2018)
[5] ZHOU, J., WANG, K., XU, D., OUYANG, H., and FU, Y. Vibration isolation in neonatal transport by using a quasi-zero-stiffness isolator. Journal of Vibration and Control, 24(15), 3278–3291(2018)
[6] RIVIN, E. Passive vibration isolation. Applied Mechanics Reviews, 57(6), B31–B32(2004)
[7] ALABUZHEV, P. M. and RIVIN, E. I. Vibration Protecting and Measuring Systems with QuasiZero Stiffness, Hemisphere Publishing, New York, 21–90(1989)
[8] CARRELLA, A., BRENNAN, M. J., and WATERS, T. P. Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic. Journal of Sound and Vibration, 301(3-5), 678–689(2007)
[9] CARRELLA, A., BRENNAN, M. J., KOVACIC, I., and WATERS, T. P. On the force transmissibility of a vibration isolator with quasi-zero-stiffness. Journal of Sound and Vibration, 322(4-5), 707–717(2009)
[10] KOVACIC, I., BRENNAN, M. J., and WATERS, T. P. A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic. Journal of Sound and Vibration, 315(3), 700–711(2008)
[11] KOVACIC, I., BRENNAN, M. J., and LINETON, B. Effect of a static force on the dynamic behaviour of a harmonically excited quasi-zero stiffness system. Journal of Sound and Vibration, 325(4-5), 870–883(2009)
[12] XU, D., ZHANG, Y., ZHOU, J., and LOU, J. On the analytical and experimental assessment of the performance of a quasi-zero-stiffness isolator. Journal of Vibration and Control, 20(15), 2314–2325(2014)
[13] LAN, C. C., YANG, S. A., and WU, Y. S. Design and experiment of a compact quasi-zero-stiffness isolator capable of a wide range of loads. Journal of Sound and Vibration, 333(20), 4843–4858(2014)
[14] LIU, X., HUANG, X., and HUA, H. On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector. Journal of Sound and Vibration, 332(14), 3359–3376(2013)
[15] NIU, F., MENG, L., WU, W., SUN, J., ZHANG, W., MENG, G., and RAO, Z. Design and analysis of a quasi-zero stiffness isolator using a slotted conical disk spring as negative stiffness structure. Journal of Vibroengineering, 16(4), 1769–1785(2014)
[16] ZHOU, J., WANG, X., XU, D., and BISHOP, S. Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam-roller-spring mechanisms. Journal of Sound and Vibration, 346, 53–69(2015)
[17] ZHOU, J., XIAO, Q., XU, D., OUYANG, H., and LI, Y. A novel quasi-zero-stiffness strut and its applications in six-degree-of-freedom vibration isolation platform. Journal of Sound and Vibration, 394, 59–74(2017)
[18] ZHOU, J., XU, D., and BISHOP, S. A torsion quasi-zero stiffness vibration isolator. Journal of Sound and Vibration, 338, 121–133(2015)
[19] ZENG, R., WEN, G., ZHOU, J., and ZHAO, G. Limb-inspired bionic quasi-zero stiffness vibration isolator. Acta Mechanica Sinica, 37(7), 1155–1170(2021)
[20] ROBERTSON, W. S., KIDNER, M. R. F., CAZZOLATO, B. S., and ZANDER, A. C. Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation. Journal of Sound and Vibration, 326(1-2), 88–103(2009)
[21] WU, W., CHEN, X., and SHAN, Y. Analysis and experiment of a vibration isolator using a novel magnetic spring with negative stiffness. Journal of Sound and Vibration, 333(13), 2958–2970(2014)
[22] XU, D., YU, Q., ZHOU, J., and BISHOP, S. R. Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic. Journal of Sound and Vibration, 332(14), 3377–3389(2013)
[23] JIANG, Y., SONG, C., DING, C., and XU, B. Design of magnetic-air hybrid quasi-zero stiffness vibration isolation system. Journal of Sound and Vibration, 477, 1–15(2020)
[24] LIU, C. and YU, K. A high-static-low-dynamic-stiffness vibration isolator with the auxiliary system. Nonlinear Dynamics, 94(3), 1549–1567(2018)
[25] FENG, X., JING, X., XU, Z., and GUO, Y. Bio-inspired anti-vibration with nonlinear inertia coupling. Mechanical Systems and Signal Processing, 124, 562–595(2019)
[26] YANG, J., JIANG, J. Z., and NEILD, S. A. Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators. Nonlinear Dynamics, 99(3), 1823–1839(2020)
[27] LU, Z., YANG, T., BRENNAN, M. J., LIU, Z., and CHEN, L. Q. Experimental investigation of a two-stage nonlinear vibration isolation system with high-static-low-dynamic stiffness. Journal of Applied Mechanics, 84(2), 021001(2017)
[28] WANG, X., ZHOU, J., XU, D., OUYANG, H., and DUAN, Y. Force transmissibility of a two-stage vibration isolation system with quasi-zero stiffness. Nonlinear Dynamics, 87(1), 633–646(2017)
[29] ZHAO, F., JI, J. C., YE, K., and LUO, Q. Increase of quasi-zero stiffness region using two pairs of oblique springs. Mechanical Systems and Signal Processing, 144, 106975(2020)
[30] WANG, K., ZHOU, J., CHANG, Y., OUYANG, H., XU, D., and YANG, Y. A nonlinear ultralow-frequency vibration isolator with dual quasi-zero-stiffness mechanism. Nonlinear Dynamics, 101(2), 755–773(2020)
[31] DENG, T., WEN, G., DING, H., LU, Z. Q., and CHEN, L. Q. A bio-inspired isolator based on characteristics of quasi-zero stiffness and bird multi-layer neck. Mechanical Systems and Signal Processing, 145, 106967(2020)
[32] KIM, J., JEON, Y., UM, S., PARK, U., KIM, K. S., and KIM, S. A novel passive quasi-zero stiffness isolator for ultra-precision measurement systems. International Journal of Precision Engineering and Manufacturing, 20(9), 1573–1580(2019)
[33] WANG, Q., ZHOU, J., XU, D., and OUYANG, H. Design and experimental investigation of ultra-low frequency vibration isolation during neonatal transport. Mechanical Systems and Signal Processing, 139, 106633(2020)
[34] DING, H., JI, J., and CHEN, L. Q. Nonlinear vibration isolation for fluid-conveying pipes using quasi-zero stiffness characteristics. Mechanical Systems and Signal Processing, 121, 675–688(2019)
[35] LANG, Z. Q., JING, X. J., BILLINGS, S. A., TOMLINSON, G. R., and PENG, Z. K. Theoretical study of the effects of nonlinear viscous damping on vibration isolation of sdof systems. Journal of Sound and Vibration, 323(1-2), 352–365(2009)
[36] LV, Q. and YAO, Z. Analysis of the effects of nonlinear viscous damping on vibration isolator. Nonlinear Dynamics, 79(4), 2325–2332(2015)
[37] MOFIDIAN, S. M. M. and BARDAWEEL, H. Displacement transmissibility evaluation of vibration isolation system employing nonlinear-damping and nonlinear-stiffness elements. Journal of Vibration and Control, 24(18), 4247–4259(2018)
[38] LIU, C., TANG, J., YU, K., LIAO, B., HU, R., and ZANG, X. On the characteristics of a quasizero-stiffness vibration isolator with viscoelastic damper. Applied Mathematical Modelling, 88, 367–381(2020)
[39] ZHANG, Z., NIU, M., YUAN, K., and ZHANG, Y. Research on linear/nonlinear viscous damping and hysteretic damping in nonlinear vibration isolation systems. Applied Mathematics and Mechanics (English Edition), 41(7), 983–998(2020) https://doi.org/10.1007/s10483-020-2630-6
[40] DHOLE, S. D., CHHABRA, R. P., and ESWARAN, V. Flow of power-law fluids past a sphere at intermediate Reynolds numbers. Industrial & Engineering Chemistry Research, 45(13), 4773–4781(2006)
[41] IYER, S. S., VEDAD-GHAVAMI, R., LEE, H., LIGER, M., KAVEHPOUR, H. P., and CANDLER, R. N. Nonlinear damping for vibration isolation of microsystems using shear thickening fluid. Applied Physics Letters, 102(25), 251902(2013)