DOI: https://doi.org/10.20535/2305-9001.2013.68.36254

INVESTIGATION OF LABORATORY CENTRIFUGE MOTION AS MULTIBODY SYSTEM

А. Е. Бабенко, Я. І. Лавренко, Й. Штракельян

Abstract


Purpose. Definition of influence of gyroscopic effect on vibrations of a laboratory centrifuge. Design/methodology/approach. Vibrations take into account six degrees of freedom. Were found dependences of own frequencies depending on frequency and direction of rotation of a centrifuge. The correlation of results of numerical and experimental definition of values of own frequencies were shown. The model of a gyroscope accepted in article is calculated on its use at the solution of a number of applied tasks. The dynamic characteristics of the centrifuge with design features that consist in fact that it is multi-mass system fixed on elastic support is determined. Contrast to the previous well-known approaches in which the centrifuge is seen as a single-mass construction and do not take into account the design features fixing is shown. In order to study its motion used Lagrange equations of the second kind. Differential equations of motion and the specific features the centrifuge motion defined. Findings. With influence of gyroscopic effect on every degree of freedom we have two resonant frequencies instead of one. Originality/value. This research was important and original in field of vibrations of medical machines, which usually work with high values of frequencies. It shows changes of own frequencies depending on work frequencies. It can help to avoid a resonance during operation.

Keywords


lab centrifuge; rotor; equation of motion.

References


Nesterenko V. Automaticheskaya balansirovka rotorov pryborov i mashin so mnogimi stepenyami svobody [Automatic balancing rotors of devices and machines with many degrees of freedom]. Tomsk, 1985, p.84.

Filimonihin G.B. Zrivnovazhennja i vibrozahyst rotoriv avto balansyramy z tverdymy koryguval'nymy vantazhamy [Balincing and vibroprotaction of rotors by autobalance with solid weights]. Kirovograd, 2004, 352p.

Lurie A.I. Analytycheskaya mechanica [Analytical mechanics]. Moscow, 1961, 824p.

Arnold V.I. Matematicheskie metody klasicheskoy mechaniki [Mathematical Methods Classical Mechanics]. Moscow, 1974, 431p.

Gusarov A.A. Automaticheskaya balansirovka rotorov mashin [Automatic balancing rotors machines]. Moscow, 1979, 306p.

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


GOST Style Citations


1. Нестеренко В.П. Автоматическая балансировка роторов проборов и машин со многими степенями свободы / В.П. Нестеренко. – Томск: Изд-во Томского ун-та, 1985. – 84 с.


2. Філімоніхін Г.Б. Зрівноваження і віброзахист роторів авто балансирами з твердими коригувальними вантажами / Г.Б. Філімоніхін. – Кіровоград: КНТУ, 2004. – 352с.


3. Лурье А.И. Аналитическая механика. М., 1961. – 824с.


4. Арнольд В.И. Математические методы классической механики. М., «Наука», 1974. – 431с.


5. Гусаров А.А. Автоматическая балансировка роторов машин. – М.: Наука, 1979. – 306с.


6. Бабенко А.Є., Лавренко Я.І., Куренков М.М. Вплив гіроскопічних ефектів на коливання валу центрифуги. // Вісник НТУУ “КПІ”, Машинобудування. — К.: НТУУ “КПІ”. - 2013 . — Вып. 65 – с. 166-174





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