Articles | Volume 10, issue 2
Research article
06 Nov 2019
Research article |  | 06 Nov 2019

The nonlinear vibrations of a vertical hard gyroscopic rotor with nonlinear characteristics

Zharilkassin Iskakov and Kuatbay Bissembayev

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The nonlinear vibrations of orthogonal mechanism of vibrating table in view of friction
Zharilkassin Iskakov, Kuatbay Bissembayev, and Nutpulla Jamalov
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Cited articles

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Fujiwara, H., Nakaura, H., and Watanabei, K.: The vibration behavior of flexibly fixed rotating machines, in: Proceedings of the 14th IFToMM World Congress, Taipei, Taiwan, 25–30 October 2015, 2058–2063, available at: (last access: 1 October 2017), 2015. 
Gil-Negrete, N., Vinolas, J., and Kari L.: A non-linear rubber material model combining fractional order viscoelasticity and amplitude dependent effects, J. Appl. Mech., 76, 9–11, 2009. 
Hayashi, C.: Non-linear Oscillations in Physical Systems, chap. 1, 3–6, McGraw – Hill, 1964. 
Ho, C., Lang Z., and Billings, S. A.: The benefits of non-linear cubic viscous damping on the force transmissibility of a Duffing-type vibration isolator, in: Proceedings of UKACC International Conference on Control, UK, Cardiff, UK, 3–5 September 2012, 479–484, 2012. 
Short summary
• Linear and cubic nonlinear damping can significantly suppress the resonance peak of the fundamental harmonic, eliminate the jumping phenomena. • In resonance area, an increase in linear or cubic nonlinear damping significantly suppresses the ability to absolute displacement. • In high speed areas, cubic nonlinear damping can slightly suppress the vibration amplitude and may slightly increase the moment of force transmissibility.