Abstract
The crucial issue of controlling multi-directional, low-frequency vibrations in many vibration isolation applications has been facilitated by the development of multi-directional high-static–low-dynamic stiffness (HSLDS) structures. However, these structures are presently created by adopting parallel multiple substructures that make the HSLDS structures complex and large, and this limits the application range of these structures. The present work addresses this issue by proposing a new multi-directional HSLDS vibration isolation model that employs a single vertical air spring and two lateral air springs as isolator components in conjunction with rigid connectors and universal joints. The proposed model is structure-simple and relatively compact. The air springs and universal joints enable the isolated load to be flexibly supported from the foundation in all directions. The results of static analysis with consideration for the influence of structural parameters and the degree of nonlinearity demonstrate that the proposed system can realize linear response characteristics with suitable parameter settings, which greatly facilitates the use of this structure in engineering applications. The multi-directional dynamic behavior of the proposed system is analyzed, and the force transmissibility is compared with that of an equivalent linear system (ELS). Finally, static and dynamic experiments are performed for the HSLDS system and the ELS. The results demonstrate that the HSLDS system design reduces the initial vibration isolation frequency and improves the vibration isolation performance relative to that of the ELS. The number of isolators in the system can be selected according to the needs of individual vibration isolation applications. Therefore, the model can be applied for designing a wide range of HSLDS systems, even large-scale HSLDS mounting systems, such as HSLDS floating raft vibration isolation systems for vessels.
Similar content being viewed by others
Data availability statement
Some of the data and models generated during the study are available from the corresponding author by reasonable request.
Code availability
The data used to support the findings of this study are available from the corresponding author upon request.
References
Ross, D.: Mechanics of Underwater Noise. Pergamon Press, New York (1976)
Harris, C.M., Piersol, A.G.: Shock and Vibration Handbook. McGraw-Hill Press, New York (2002)
Zhang, Y., Xu, W., Li, Z., Yin, L.: Alignment and safety analysis of marine propulsion shafting using intelligent floating raft system. J. Mar. Sci. Tech. 26, 323–330 (2021)
Carrella, A., Brennan, M.J., Waters, T.P., Lopes, V.: Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness. Int. J. Mech. Sci. 55, 22–29 (2012)
Alabuzhev, P., Gritchin, A., Kim, L., Migirenko, G.: Vibration Protecting and Measuring Systems with Quasi-Zero Stiffness. Hemisphere Publishing Corporation, New York (1989)
Ibrahim, R.A.: Recent advances in nonlinear passive vibration isolators. J. Sound Vib. 314, 371–452 (2008)
Carrella, A., Brennan, M.J., Waters, T.P.: Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic. J. Sound Vib. 301, 678–689 (2007)
Hu, Z., Wang, X., Yao, H., Wang, G., Zheng, G.: Theoretical analysis and experimental identification of a vibration isolator with widely-variable stiffness. J. Vib. Acoust. Trans. ASME 140, 051014 (2018)
Xu, D., Zhang, Y., Zhou, J., Lou, J.: On the analytical and experimental assessment of the performance of a quasi-zero-stiffness isolator. J. Vib. Control 20, 2314–2325 (2014)
Winterflood, J., Barber, T., Blair, D.G.: Using Euler buckling springs for vibration isolation. Class. Quant. Grav. 19, 1639–1645 (2002)
Winterflood, J., Blair, D., Slagmolen, B.: High performance vibration isolation using springs in Euler column buckling mode. Phys. Lett. A 300, 122–130 (2002)
Huang, X.C., Liu, X.T., Sun, J.Y., Zhang, Z.Y., Hua, H.X.: Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector: a theoretical and experimental study. J. Sound Vib. 333, 1132–1148 (2014)
Zhou, X.H., Sun, X., Zhao, D.X., Yang, X.: The design and analysis of a novel passive quasi-zero stiffness vibration isolator. J. Vib. Eng. Technol. 9, 225–245 (2020)
Ishida, S., Suzuki, K., Shimosaka, H.: Design and experimental analysis of origami-inspired vibration isolator with quasi-zero-stiffness characteristic. J. Vib. Acoust. Trans. ASME 139, 051004 (2017)
Inamoto, K., Ishida, S.: Improved feasible load range and its effect on the frequency response of origami-inspired vibration isolators with quasi-zero-stiffness characteristics. J. Vib. Acoust Trans. ASME 141, 021004 (2019)
Zhou, J., Wang, X., Xu, D., Bishop, S.: Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam–roller–spring mechanisms. J. Sound Vib. 346, 53–69 (2015)
Yao, Y., Wang, X., Li, H.: Design and analysis of a high-static-low-dynamic stiffness isolator using the cam-roller-spring mechanism. J. Vib. Acoust Trans. ASME 142, 021009 (2020)
Sun, X., Jing, X.: Analysis and design of a nonlinear stiffness and damping system with a scissor-like structure. Mech. Syst. Signal Process. 66–67, 723–742 (2016)
Yan, G., Zou, H., Wang, S., Zhao, L.: Large stroke quasi-zero stiffness vibration isolator using three-link mechanism. J. Sound Vib. 478, 115344 (2020)
Carrella, A., Brennan, M.J., Waters, T.P., Shin, K.: On the design of a high-static-low-dynamic stiffness isolator using linear mechanical springs and magnets. J. Sound Vib. 315, 712–720 (2008)
Zhou, Z.H., Zhou, M.R., Dai, Z.H., Liu, X., Li, Z.H.: Design and experimental validation of a vibration isolator with high-static-low-dynamic stiffness and operating point variable property. J. Vib. Control (2021). https://doi.org/10.1177/10775463219905
Yuan, S.J., Sun, Y., Zhao, J.L., Meng, K., Wang, M., Pu, H.Y., Peng, Y., Luo, J., Xie, S.R.: A tunable quasi-zero stiffness isolator based on a linear electromagnetic spring. J. Sound Vib. 482, 115449 (2020)
Jiang, Y., Song, C., Ding, C., Xu, B.: Design of magnetic-air hybrid quasi-zero stiffness vibration isolation system. J. Sound Vib. 477, 115346 (2020)
Vo, N., Nguyen, M., Le, T.: Analytical study of a pneumatic vibration isolation platform featuring adjustable stiffness. Commun. Nonlinear Sci. 98, 105775 (2021)
Li, Y.S., Han, X., Liu, B.S., Xu, Y.: A Quasi Zero Stiffness Vibration Isolation System. China, Patent Application CN109578483A (2019) (in Chinese)
Sun, X., Jing, X.: Multi-direction vibration isolation with quasi-zero stiffness by employing geometrical nonlinearity. Mech. Syst. Signal Process 62–63, 149–163 (2015)
Yan, G., Zou, H., Yan, H., Tan, T., Wang, S., Zhang, W., Peng, Z., Meng, G.: Multi-direction vibration isolator for momentum wheel assemblies. J. Vib. Acoust. Trans. ASME 142, 041007 (2020)
Wu, Z., Jing, X., Sun, B., Li, F.: A 6DOF passive vibration isolator using X-shape supporting structures. J. Sound Vib. 380, 90–111 (2016)
Zhou, J., Xiao, Q., Xu, D., Ouyang, H.: A novel quasi-zero-stiffness strut and its applications in six-degree-of-freedom vibration isolation platform. J. Sound Vib. 394, 59–74 (2017)
Zhou, J., Wang, K., Xu, D., Ouyang, H., Li, Y.: A six degrees-of-freedom vibration isolation platform supported by a hexapod of quasi-zero-stiffness struts. J. Vib. Acoust. Trans. ASME 139, 034502 (2017)
Li, Y., Xu, D.: Vibration attenuation of high dimensional quasi-zero stiffness floating raft system. Int. J. Mech. Sci. 126, 186–195 (2017)
Funding
This research was funded by the National Key Research and Development Program of China, Grant Number HJ2019C020499.
Author information
Authors and Affiliations
Contributions
JM contributed to conceptualization; CS contributed to methodology; CS contributed to software; BL contributed to validation; CS and BL contributed to formal analysis; CS and BL contributed to investigation; JM contributed to resources; BL contributed to data curation; C.S. contributed to writing—original draft; BL contributed to writing—review and editing; CS and BL contributed to visualization; JM contributed to supervision; JM contributed to project administration; JM contributed to funding acquisition. All authors have read and agreed to the published version of the manuscript.
Corresponding author
Ethics declarations
Conflicts of interest
The authors have no conflicts of interest to report for this work.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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
Shuai, Cg., Li, By. & Ma, Jg. A novel multi-directional vibration isolation system with high-static–low-dynamic stiffness. Acta Mech 233, 5199–5214 (2022). https://doi.org/10.1007/s00707-022-03387-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-022-03387-0