Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (6): 813-824.doi: https://doi.org/10.1007/s10483-022-2852-5
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Guoxin JIN1, Zhenghao WANG2, Tianzhi YANG2
Received:2021-12-10
Revised:2022-03-29
Published:2022-06-11
Supported by:2010 MSC Number:
Guoxin JIN, Zhenghao WANG, Tianzhi YANG. Cascaded quasi-zero stiffness nonlinear low-frequency vibration isolator inspired by human spine. Applied Mathematics and Mechanics (English Edition), 2022, 43(6): 813-824.
| [1] IBRAHIM, R. A. Recent advances in nonlinear passive vibration isolators. Journal of Sound and Vibration, 314, 371-452(2008) [2] LIU, C. C., JING, X. J., DALEY, S., and LI, F. M. Recent advances in micro-vibration isolation. Mechanical Systems and Signal Processing, 56-57, 55-80(2015) [3] LEE, W. B., CHEUNG, C. F., and TO, S. Materials induced vibration in ultra-precision machining. Journal of Materials Processing Technology, 89-90, 318-325(1999) [4] LU, Z., WANG, Z. X., ZHOU, Y., and LU, X. L. Nonlinear dissipative devices in structural vibration control:a review. Journal of Sound and Vibration, 423, 18-49(2018) [5] LIU, Y. Q., XU, L. L., SONG, C. F., GU, H. S., and WEN, J. Dynamic characteristics of a quasi-zero stiffness vibration isolator with nonlinear stiffness and damping. Archive of Applied Mechanics, 89, 1743-1759(2019) [6] 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, 678-689(2007) [7] YAO, Y. H., LI, H. G., LI, Y., and WANG, X. J. Analytical and experimental investigation of a high-static-low-dynamic stiffness isolator with cam-roller-spring mechanism. International Journal of Mechanical Sciences, 186, 105888(2020) [8] SUN, M. N., SONG, G. Q., LI, Y. M., and HUANG, Z. L. Effect of negative stiffness mechanism in a vibration isolator with asymmetric and high-static-low-dynamic stiffness. Mechanical Systems and Signal Processing, 124, 388-407(2019) [9] MA, H. Y. and YAN, B. Nonlinear damping and mass effects of an electromagnetic shunt damping for enhanced nonlinear vibration isolation. Mechanical Systems and Signal Processing, 146, 107010(2021) [10] 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, 707-717(2009) [11] ZHOU, J. X., WANG, X. L., XU, D. L., 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) [12] WANG, X. J., LIU, H., CHEN, Y. Q., and GAO, P. Beneficial stiffness design of a high-static-lowdynamic-stiffness vibration isolator based on static and dynamic analysis. International Journal of Mechanical Sciences, 142-143, 235-244(2018) [13] HUANG, X. C., LIU, X. T., SUN, J. Y., ZHANG, Z. Y., and HUA, H. X. Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector:a theoretical and experimental study. Journal of Sound and Vibration, 333, 1132-1148(2014) [14] SUN, X. T. and JING, X. J. Multi-direction vibration isolation with quasi-zero stiffness by employing geometrical nonlinearity. Mechanical Systems and Signal Processing, 62-63, 149-163(2015) [15] YAN, G., ZOU, H. X., WANG, S., ZHAO, L. C., GAO, Q. H., TAN, T., and ZHANG, W. M. Large stroke quasi-zero stiffness vibration isolator using three-link mechanism. Journal of Sound and Vibration, 478, 115344(2020) [16] 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, 4843-4858(2014) [17] WANG, K., ZHOU, J. X., and XU, D. L. Sensitivity analysis of parametric errors on the performance of a torsion quasi-zero-stiffness vibration isolator. International Journal of Mechanical Sciences, 134, 336-346(2017) [18] YE, K., JI, J. C., and BROWN, T. A novel integrated quasi-zero stiffness vibration isolator for coupled translational and rotational vibrations. Mechanical Systems and Signal Processing, 149, 107340(2021) [19] JING, X. J., CHAI, Y. Y., XU, C., and JING, B. In-situ adjustable nonlinear passive stiffness using X-shaped mechanisms. Mechanical Systems and Signal Processing, 170, 108267(2022) [20] CHENG, C., LI, S. M., WANG, Y., and JIANG, X. X. Force and displacement transmissibility of a quasi-zero stiffness vibration isolator with geometric nonlinear damping. Nonlinear Dynamics, 87, 2267-2279(2017) [21] SUN, X. T., XU, J., JING, X. J., and CHENG, L. Beneficial performance of a quasi-zero-stiffness vibration isolator with time-delayed active control. International Journal of Mechanical Sciences, 82, 32-40(2014) [22] DAI, H. H., JING, X. J., WANG, Y., YUE, X. K., and YUAN, J. P. Post-capture vibration suppression of spacecraft via a bio-inspired isolation system. Mechanical Systems and Signal Processing, 105, 214-240(2018) [23] SUN, X. T., JING, X. J., XU, J., and CHENG, L. Vibration isolation via a scissor-like structured platform. Journal of Sound and Vibration, 333, 2404-2420(2014) [24] LIU, C. C., JING, X. J., and LI, F. M. Vibration isolation using a hybrid lever-type isolation system with an X-shape supporting structure. International Journal of Mechanical Sciences, 98, 169-177(2015) [25] JING, X. J., ZHANG, L. L., FENG, X., SUN, B., and LI, Q. K. A novel bio-inspired anti-vibration structure for operating hand-held jackhammers. Mechanical Systems and Signal Processing, 118, 317-339(2019) [26] FENG, X. and JING, X. J. Human body inspired vibration isolation:beneficial nonlinear stiffness, nonlinear damping & nonlinear inertia. Mechanical Systems and Signal Processing, 117, 786-812(2019) [27] WU, Z. J., JING, X. J., BIAN, J., LI, F. M., and ALLEN, R. Vibration isolation by exploring bio-inspired structural nonlinearity. Bioinspiration & Biomimetics, 10, 056015(2015) [28] JIANG, G. Q., JING, X. J., and GUO, Y. Q. A novel bio-inspired multi-joint anti-vibration structure and its nonlinear HSLDS properties. Mechanical Systems and Signal Processing, 138, 106552(2020) [29] DENG, T. C., WEN, G. L., 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) [30] PENG, Z. K., MENG, G., LANG, Z. Q., ZHANG, W. M., and CHU, F. L. Study of the effects of cubic nonlinear damping on vibration isolations using harmonic balance method. International Journal of Non-Linear Mechanics, 47, 1073-1080(2012) [31] WANG, K., ZHOU, J. X., CHANG, Y. P., OUYANG, H. J., XU, D. L., and YANG, Y. A nonlinear ultra-low-frequency vibration isolator with dual quasi-zero-stiffness mechanism. Nonlinear Dynamics, 101, 755-773(2020) [32] WU, W. L. and TANG, B. An approximate method for solving force and displacement transmissibility of a geometrically nonlinear isolation system. International Journal of Non-Linear Mechanics, 125, 103512(2020) [33] SCHMIDT, H., HEUER, F., DRUMM, J., KLEZL, Z., CLAES, L., and WILKE, H. J. Application of a calibration method provides more realistic results for a finite element model of a lumbar spinal segment. Clinical Biomechanics, 22, 377-384(2007) [34] WAGNAC, E., ARNOUX, P. J., GARO, A., and AUBIN, C. E. Finite element analysis of the influence of loading rate on a model of the full lumbar spine under dynamic loading conditions. Medical and Biological Engineering and Computing, 50, 903-915(2012) [35] GUO, L. X., ZANG, M., WANG, Z. W., ZHANG, Y. M., WEN, B. C., and LI, J. L. Influence of anteroposterior shifting of trunk mass centroid on vibrational configuration of human spine. Computers in Biology Medicine, 38, 146-151(2008) [36] BAZRGARI, B., ADL, A. S., and ARJMAND, N. Analysis of aquat and stoop dynamic lifting:muscle forces and internal spinal loads. European Spine Journal, 16, 687-699(2007) [37] 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, 700-711(2008) |
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