A Compact Quasi-Zero Stiffness Vibration Isolator Using Flexure-Based Spring Mechanisms Capable of Tunable Stiffness

Authors: Thanh-Phong Dao, Shyh-Chour Huang

Abstract:

This study presents a quasi-zero stiffness (QZS) vibration isolator using flexure-based spring mechanisms which afford both negative and positive stiffness elements, which enable self-adjustment. The QZS property of the isolator is achieved at the equilibrium position. A nonlinear mathematical model is then developed, based on the pre-compression of the flexure-based spring mechanisms. The dynamics are further analyzed using the Harmonic Balance method. The vibration attention efficiency is illustrated using displacement transmissibility, which is then compared with the corresponding linear isolator. The effects of parameters on performance are also investigated by numerical solutions. The flexure-based spring mechanisms are subsequently designed using the concept of compliant mechanisms, with evaluation by ANSYS software, and simulations of the QZS isolator.

Keywords: Vibration isolator, quasi-zero stiffness, flexure-based spring mechanisms, compliant mechanism.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1126329

References:

[1] D. Platus, “Negative-stiffness-mechanism vibration isolation systems,” Proceedings of the SPIE's International Symposium on Vibration control in Microelectronics, Optics and Metrology, 1991.
[2] A. Carrella, M. J. Brennan, T. P. Waters, “Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic,” Journal of Sound and Vibration, vol. 301, no. 3-5, pp. 678–689, 2007.
[3] G. Gatti, I. Kovacic, M. J. Brennan, “On the response of a harmonically excited two degree-of-freedom system consisting of a linear and a nonlinear quasi-zero stiffness oscillator,” Journal of Sound and Vibration, vol. 329, pp. 1823–1835, 2010.
[4] X. C. Huang, X. T. Liu, J.Y. Sun, Z. Y. Zhang, “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, vol. 333, pp. 1132–1148, 2014.
[5] J. X. Zhou, X. L. Wang, D.L. Xu, S. Bishop, “Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam–roller–spring mechanisms,” Journal of Sound and Vibration, vol. 346, pp. 53–69, 2015.
[6] D. Xu, Q. Yu, J. Zhou, S.R. Bishop, “Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic,” Journal of Sound and Vibration, vol. 332, No.14, pp. 3377–3389, 2013.
[7] I. Kovacic, M. J. Brennan, T. P. Waters, “A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic,” Journal of Sound and Vibration, vol. 315, pp. 700–711, 2008.
[8] I. Kovacic, M. J. Brennan, B. Lineton, “Effect of a static force on the dynamic behaviour of a harmonically excited quasi-zero stiffness system,” Journal of Sound and Vibration, vol. 325, pp. 870–883, 2009.
[9] W. S. Robertson, M. R. F. Kidner, B. S. Cazzolato, A. C. Zander, “Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation,” Journal of Sound and Vibration, vol. 326, no.1-2, pp. 88–103, 2009.
[10] C. M. Lee, V. N. Goverdovskiy, A. I. Temnikov, “Design of springs with negative stiffness to improve vehicle driver vibration isolation,” Journal of Sound and Vibration, vol. 302, pp. 865–874, 2007.
[11] N. Zhou, K. Liu, “A tunable high-static-low-dynamic stiffness vibration isolator,” Journal of Sound and Vibration, vol. 329, pp. 1254–1273, 2010.
[12] R. A. Ibrahim, “Recent advances in nonlinear passive vibration isolators,” Journal of Sound and Vibration, vol. 314, no. 3–5, pp. 371–452, 2008.
[13] T. D. Le, K.K. Ahn, “Experimental investigation of a vibration isolation system using negative stiffness structure,” International Journal of Mechanical Sciences, vol. 70, pp. 99–112, 2013.
[14] K. R. Kim, Y. H. You, H. J. Ahn, “Optimal design of a QZS isolator using flexures for a wide range of payload,” International Journal of Precision Engineering and Manufacturing, vol. 14, no. 6, pp. 911–917, 2013.
[15] L. S. Meng, J. G. Sun, W. J. Wu, “Theoretical design and characteristics analysis of a quasi-zero stiffness isolator using a disk spring as negative stiffness element,” Shock and Vibration, 2015.
[16] T. P. Dao, S. C. Huang, “Robust design for a flexible bearing with 1-DOF translation using the Taguchi method and the utility concept,” Journal of Mechanical Science and Technology, vol. 29, no. 8, pp. 3309–3320, 2015.
[17] T. P. Dao, S. C. Huang, “An optimal study of a gripper compliant mechanism based on Fuzzy-Taguchi method,” Applied Mechanics and Material, vol. 418, pp. 141–144, 2013.
[18] T. P. Dao, S. C. Huang, “Design and analysis of a 2-DOF compliant mechanism for nano scale positioning,” International Journal of Innovation and Applied Studies, vol. 10, no. 1, pp. 226–236, 2015.
[19] T. P. Dao, S. C. Huang, “Optimization of multiresponse performance measure in slider-rocker compliant mechanism using Fuzzy-Taguchi method,” Advanced Materials Research, vol. 683, pp 708–711, 2013.
[20] T. P. Dao, S. C. Huang, “Design and analysis of flexible slider crank mechanism,” World Academy of Science, Engineering and Technology International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, vol. 8, no.5, pp. 784–791, 2014.
[21] T. P. Dao, S. C. Huang, “A flexible bearing with 1-DOF translation for high-precision mechanism,”" Applied Mechanics and Materials, vols. 764-765, pp 155–159, 2015.
[22] T. P. Dao, S. C. Huang, “Optimization of flapper compliant mechanism using fuzzy logic combined Taguchi method,” Applied Mechanics and Materials, vol. 300, pp. 710–713, 2013.
[23] T. P. Dao, S. C. Huang, “Design, fabrication, and predictive model of a 1-dof translational, flexible bearing for high precision mechanism,” Transactions of The Canadian Society for Mechanical Engineering, vol. 39, no. 3, pp. 419–429, 2015.
[24] T. P. Dao, S. C. Huang, “Design and analysis of compliant rotary joint,” Applied Mechanics and Materials, vol. 372, pp. 467–470, 2013.