NECESSARY CONDITIONS OF STABILITY MOVING PARTS OF ROTOR CENTRIFUGE

Authors

  • Jens Strackeljan Otto-von-Guericke University Magdeburg, Germany, Germany
  • Andriy Babenko The National Technical University of Ukraine "Kyiv Polytechnic Institute", Kyiv, Ukraine, Ukraine
  • Iaroslav Lavrenko The National Technical University of Ukraine "Kyiv Polytechnic Institute", Kyiv, Ukraine, Ukraine http://orcid.org/0000-0002-4384-4866

DOI:

https://doi.org/10.20535/2305-9001.2014.72.33790

Keywords:

Motion, stability, rotation, speed, vibration

Abstract

Design features of modern centrifuges studied. Revealed that their rotors are movable elements that revolve around horizontal axes. The dynamics of these moving parts of laboratory centrifuge considered. Using the Lagrange equation of the second kind the resulting differential equations of their motion considered. The modeling visualization of motion using the software package RecurDyn was made. The results that obtained by the research package RecurDyn and analytically showed that their motion can be unstable in the positions that are optimal in terms of the technological process. The differential equation can be not integrated in elementary functions, so direct analysis of movement is difficult. As a result of this stability conditions for motion with linear approximation investigated. Necessary conditions for stability of motion required of the design obtained.

References

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Babenko А., Lavrenko Ia., Kurenkov М. Journal of Mechanical Engineering of the National Technical University of Ukraine “Kyiv Politechnic Institute”, 2013, no 65, pp. 166-174.

Babenko А.Е., Lavrenko Ia.I., Kurenkov M.M. Fluctuations centrifuge with gyroscopic effect. All-university Scientific Conference of Young Scientists and Students section "Mechanical Engineering 2014". Kiev, 2014, p.10-11.

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Maunder L. Sobstvennye chastoty kolebanij svobodnogo giroskopa s uprugim valom, ustanovlennogo v kardanovom podvese [Natural frequencies of the free gyroscope with elastic shaft mounted in gimbals]. Mechanics, Sat. Trans. and obz. foreign lang. period. lit., 1961, № 5 (69).

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Published

2014-12-17

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