Abstract
The paper studies dynamics of the statically unbalanced support centrifuge with a cylindrical cavity partially filled with a multiphase liquid medium and mounted on an elastic foundation. The centrifuge is a rotor, installed cantilevered on the shaft. It is fixed at the lower hinged bearing and the upper elastic bearing and rotates with a constant angular velocity. It is easy to pass from the dynamic model of the support centrifuge to the model of the suspended centrifuge. A mathematical model of the system “centrifuge-multiphase liquid-foundation” is developed and solved analytically.
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References
Rahimov ER, Rahmatullaev AS, Kydyrbekuly AB (1987) Dynamics of unbalanced rotor in the interaction with the other physical fields. In: Transactions seventh world congress on the theory of machines and mechanisms, Sevilla, Spain, 1987, pp 532–539
Rahmatullaev AS, Kydyrbekuly AB (2003) Dynamics of rotor with cavity partially filled by weakly conducting ideal fluid. In: Proceedings of the IV international Kazakhstan–Russia scientific-practical conference “Mathematical simulation of scientific-technical and ecology problems of oil and gas industry”, Almaty, 2003, pp 115–120
Kydyrbekuly AB (2012) Rotor-liquid-fundament system’s oscillation. Advances in mechanisms design. Mechanisms and machine science, vol 8. Springer Science + Business, Media, Dordrecht, pp 223–229
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Kydyrbekuly, A., Khajiyeva, L. (2015). Dynamics of the Unbalanced Support Centrifuge with Cavity Partially Filled with a Multiphase Liquid Medium. In: Sinha, J. (eds) Vibration Engineering and Technology of Machinery. Mechanisms and Machine Science, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-09918-7_51
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DOI: https://doi.org/10.1007/978-3-319-09918-7_51
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09917-0
Online ISBN: 978-3-319-09918-7
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