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2 - Vibration Protection Systems with Negative and Quasi-Zero Stiffness

Developmental Trends and Theory Baseline

Published online by Cambridge University Press:  29 October 2021

Chang-Myung Lee  and
Vladimir Nicholas Goverdovskiy
Chang-Myung Lee
Affiliation:
University of Ulsan, South Korea
Vladimir Nicholas Goverdovskiy
Affiliation:
University of Ulsan, South Korea
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Summary

Within a short run, a novel class of mechanisms and systems has been created with parametric (elastic-dissipative) elements of sign-changing stiffness controlled in a range from positive to negative or quasi-zero values. A great deal of natural and hand-made designs on different physical bases appeared that could reveal such a phenomenon. These mechanisms and systems can cut the stiffness and provide a perfect vibration protection in a frequency range required. However, only some of them either are ready for to substitute or could be used in advanced hybrids in parallel with conventional vibration protection mechanisms and systems in certain types of machines and equipment. The main reason is very small travel where the negative or quasi-zero stiffness can be realized. A small error in passive control or a soft fault in an active one is enough to move such mechanisms and systems to performance degradation. A generic model of the parametric elements with negative and quasi-zero stiffness in small and a transition model to provide these effects in large are formulated. The model analysis led to important predictions on how to obtain an optimal trade-off between the dimensions and performance of the mechanisms and systems of novel class.

Keywords

Vibration protection systems with negative and quasi-zero stiffness: developmental trends and theory baseline
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Vibration Protection Systems
Negative and Quasi-Zero Stiffness
 , pp. 25 - 51
Publisher: Cambridge University Press
Print publication year: 2021

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References

Lee, C.-M., Goverdovskiy, V.N., and Sotenko, A.V., Helicopter vibration isolation: design approach and test results. Journal of Sound and Vibration, 366 (2016), 15–26.CrossRefGoogle Scholar
Ungar, E.E. and Pirsons, K.S., New constant force spring systems. Product Engineering, 27 (1961), 32‒34.Google Scholar
Pakhomov, M.P., Structure, Design, and Operation of Jumping Springs (Omsk, Russia: Omsk Transport University, 1983). In Russian.Google Scholar
Chyuprakov, Y.I., Hydraulic Systems for Whole-Body Vibration Isolation (Moscow: Engineering, 1987). In Russian.Google Scholar
Alabuzhev, P.M., Kim, L.I., Grytchine, A.A., Migirenko, G.S., Chon, V.F., and Stepanov, P.T., Vibration Protecting and Measuring Systems with Quasi-Zero Stiffness (New York: Taylor and Francis, 1989).Google Scholar
Yurjev, G.S., Vibration Isolation of Precision Instrument (Novosibirsk, Russia: Budker Institute of Nuclear Physics, 1989). In Russian.Google Scholar
Zyuev, A.K. and Lebedev, O.N., Highly Effective Vibration Isolation of Ship Equipment (Novosibirsk, Russia: State Academy of Water Transport, 1997). In Russian.Google Scholar
Rivin, E.I., Passive Vibration Isolation (New York: Taylor and Francis, 2003).CrossRefGoogle Scholar
Vibration isolation platform and table systems, Minus K Technology. Available at www.minusk.com.Google Scholar
Sarlis, A.A., Theja, D., Pasala, R., Constantinou, M.C., Reinhorn, A.M., Nagarajaiah, S., and Taylor, D., Negative stiffness device for seismic protection of structures – an analytical and experimental study. In Proceedings the 3rd Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011) (Corfu, Greece, 2011), 1−23.Google Scholar
Robertson, W.S.P., Cazzolato, B.S., and Zander, A., Planar analysis of a quasi-zero stiffness mechanism using inclined linear springs. Acoustics, Victor Harbor, Australia, November 17–20, 2013.Google Scholar
Araki, Y., Kimura, K., Asai, T., Masui, T., Omori, T., and Kainuma, R., Integrated mechanical and material design of quasi-zero-stiffness vibration isolator with superelastic Cu-Al-Mn shape memory alloy bars. Journal of Sound and Vibration, 358 (2015), 74–83.Google Scholar
Wang, S., Xin, W., Ning, Y., Li, B., and Hu, Y., Design, experiment, and improvement of a quasi-zero-stiffness vibration isolation system. Applied Sciences, 10 (2020), 2273.Google Scholar
Krejcir, O., Pneumaticka vibroizolace, Doctorska Disertacna Prace, Liberec, Czech Republic, 1986. In Czech.Google Scholar
Newport Technology. Available at www.newport.com.Google Scholar
Mizuno, T., Ishii, T., and Araki, K., Self-sensing magnetic suspension using hysteresis amplifiers. Control Engineering Practice, 6 (1998), 1133‒1140.CrossRefGoogle Scholar
Carrella, A., Brennan, M.J., Waters, T.P., and Shin, K., On the design of a high static-low-dynamic stiffness isolator using linear mechanical springs and magnets. Journal of Sound and Vibration, 315 (2008), 712−720.Google Scholar
Mizuno, T., Vibration isolation system using negative stiffness, 2010. Available at www.intechopen.com/books.CrossRefGoogle Scholar
Gurova, E.G., A calculation of power of the electromagnetic stiffness compensator, 2012. Available at www.online-electric.ru.Google Scholar
Leav, O.Y., Eriksson, C., Cazzolato, B.S., Robertson, W.S.P., and Ding, B., A novel semi-active quasi-zero stiffness vibration isolation system using a constant-force magnetic spring and an electromagnetic linear motor. International Noise-2014, Melbourne, Australia, November 16−19, 2014.Google Scholar
Westerman, S., Design of a statically balanced mechanism using magnets and springs, PhD thesis, Delft Technical University, 2015.Google Scholar
Jiang, Y.-L., Song, C.-S., Ding, C.-M., and Xu, B.-H., Design of magnetic-air hybrid quasi-zero stiffness vibration isolation system. Journal of Sound and Vibration, 477 (2020), 115346.CrossRefGoogle Scholar
Zhou, J., Xu, D., and Bishop, S., A torsion quasi-zero stiffness vibration isolator. Journal of Sound and Vibration, 338 (2015), 121−133.Google Scholar
Xu, J., Yang, X., Li, W., Zheng, J., Wang, Y., Fan, M., Zhou, W., and Lu, Y., Design of quasi-zero stiffness joint actuator and research on vibration isolation performance. Journal of Sound and Vibration, 479 (2020), 115367.Google Scholar
Chang, Y., Zhou, J., Wang, K., and Xu, D., A quasi-zero-stiffness dynamic vibration absorber. Journal of Sound and Vibration, 494 (2021), 115859.Google Scholar
Lee, C.-M. and Goverdovskiy, V.N., Alternative vibration protecting systems for men-operators of transport machines: Modern level and prospects. Journal of Sound and Vibration, 249 (2002), 635–647.Google Scholar
Feodosjev, V.I., Elastic Elements for Precise Instrument Engineering (Moscow: Defense Publishing, 1949). In Russian.Google Scholar
Biezeno, C.B. and Grammel, R., Technische Dynamik, 2 vols. (Berlin: Springer, 1953). In German.Google Scholar
Kauderer, H., Nichtlineare Mechanik (Berlin: Springer, 1958). In German.CrossRefGoogle Scholar
Timoshenko, S. and Wornowsky-Krieger, S., Theory of Plates and Shells, 2nd ed. (New York: McGraw-Hill, 1959).Google Scholar
Volmir, A.S., Stability of Deformed Systems (Moscow: Science, 1967). In Russian.Google Scholar
Budianski, B., Theory of buckling and post-buckling behavior of elastic structures. In Advances in Applied Mechanics, ed. Brooke Benjamin, T., Fung, Y.C., German, P. et al. (New York: Academic Press, 1974), 1−65.Google Scholar
Lukasiewicz, S., Local Loads in Plates and Shells (Dordrecht, Netherlands: Springer, 1979).Google Scholar
Lee, C.-M., Goverdovskiy, V.N., and Temnikov, A.I., Design of springs with “negative” stiffness to improve vehicle driver vibration isolation. Journal of Sound and Vibration, 302 (2007), 865−874.Google Scholar
Cardarelli, F., Materials Handbook, 3rd ed. (New York: Springer, 2018).Google Scholar

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