OSCILLATORY PROCESSES IN A MULTI PARALLEL KINEMATICS MACHINE TOOLS, DUE TO THE GYROSCOPIC TORQUE ACTING ON THE SPINDLE

Authors

  • В. Б. Струтинський National Technical University of Ukraine «Kyiv Polytechnic Institute», Kyiv, Ukraine
  • В. М. Дрозденко National Technical University of Ukraine «Kyiv Polytechnic Institute», Kyiv, Ukraine
  • О. Я. Юрчишин National Technical University of Ukraine «Kyiv Polytechnic Institute», Kyiv, Ukraine

DOI:

https://doi.org/10.20535/2305-9001.2014.72.37142

Keywords:

parallel kinematics machine, spindle rotation, gyroscopic moment, mathematical model, the oscillatory process.

Abstract

The aim is to determine the characteristics of oscillatory processes in a multi parallel kinematics machines, due to gyroscopic moments acting on the spindle.

Research challenges raised establishing dynamic loads on the spindle hub, the development of a mathematical model and calculation of vibration processes in a multi parallel kinematics machines.

To solve these problems in the article the features of spatial movement parallel kinematics machine tool spindle. It is shown that the spatial movement of the spindle causes the appearance of gyroscopic moments acting on the spindle. Composite dynamic equilibrium equation spindle mounted on the platform of the machine. Structural mathematical model of the spatial displacement of the spindle under gyroscopic moments. It is shown that the dynamics of the machine parallel kinematics is characterized by structural pattern with cross feedback angular velocity transverse angular vibration platform. In this dynamic influence of rods can be provided in the form of independent random moments acting on individual subsystems, describing cross-platform angular fluctuations relative to two mutually perpendicular axes,. Established that oscillatory processes in dynamical systems with low-frequency component of the machine with frequencies 9,2..9,8 Hz and high-frequency components with frequency 45 ... 55 Hz.

References

Rybak L.A. Erzhukov V.V., Chichvarin A.V. Jeffektivnye metody reshenija zadach kinematiki i dinamiki robota-stanka parallel'noj struktury (Efficient methods for solving the kinematics and dynamics of the robot-machine parallel structure). Moscow: Fizmatlit, 2011, 148 р.

Kuznєcov Ju.M., Dmitrієv D.O., Dіnevich G.Ju. Komponovki verstatіv z mehanіzmami paralel'noї strukturi (Assembly machines with mechanisms of parallel structure). Kherson: PP Vishemirs'kij, 2009. 456 р.

Novikov M., Strutyns'kyj V., Kyrychenko A. Rozrobka verstata-geksapoda z shestykoordynatnoju sytsemoju ChPK i rezul'taty doslidnyc'kogo zastosuvannja // Engineering. Lviv: TzOV «Kinpatri LTD», 2011. no 5-6 (167-168). рр. 3-10.

Afonin V.L., Podzorov P.V., Slepcov V.V. Obrabatyvajushhee oborudovanie na osnove mehanizmov parallel'noj struktury (Processing equipment on the basis of the mechanisms of parallel structure). Moscow: Izd-vo MGTU Stankin, Janus. 2006. 452p.

Strutyns'kyj S.V., Gurzhij A.A. Prostorovi systemy pryvodiv: Monografija (Spatial Infusion drives). Kiev: Pedagogichna dumka, 2013. 492 p.

Bushuev V.V. Praktika konstruirovanija mashin (The practice of designing machines).Moscow: Mashinostroenie, 2006. 448p.

Lojcjanskij L.G., Lur'e A.I. Kurs teoreticheskoj mehaniki: v 2-h tomah. T. II. Dinamika (Course of Theoretical Mechanics: in 2 volumes. T. II. Dynamics.). Moscow: Nauka, 1983. 640 p.

Strutyns'kyj S.V. Matematychne modeljuvannja prostorovyh poperechno-kutovyh mikroperemishhen' sferychnogo sharnira z vykorystannjam rekursyvnyh zv’jazkiv. Engineering. Lviv: TzOV «Kinpatri LTD». 2009. no 1. pp.37-43.

Pavlovs'kyj M.A. Teoretychna mehanika (Theoretical Mechanics). Kiev: Tehnika, 2002. 512 p.

Besekerskij V.A., Popov E.P. Teorija sistem avtomaticheskogo upravlenija (The theory of automatic control systems). Sankt-Peterburg: Izdatel'stvo «Professija», 2003. 752 p.

Strutyns'kyj V.B., Gavrushkevych N.V., Polunichev V.E. Matematychne modeljuvannja dynamichnyh harakterystyk bagatokoordynatnyh verstativ z vykorystannjam teorii' nechitkyh mnozhyn. Technological systems, no 1(9). 2014. pp.76-87.

Strutyns'kyj V.B., Jurchyshyn O.Ja., Rudakov V.A. Vplyv giroskopichnyh momentiv na obertovi detali shpyndel'nogo vuzla verstata paralel'noi' kinematyky. Journal of Mechanical Engineering of NTUU «KPI», no 66. 2012. pp.26-31.

Strutinskij V.B., Jurchyshyn O.Ja. Jekspluatacionnye dinamicheskie nagruzki na detali vysokooborotnogo shpindel'nogo uzla stanka parallel'noj kinematiki. Problems in the design and automation engineering. Collection of scientific works. Irbit: ZAO «ONIKS», 2014. pp. 151-162.

Published

2015-02-04

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