STABILITY OF THIN MILL TOOL LOADED WITH RADIAL LOAD

Authors

  • А. Є. Бабенко National Technical University of Ukraine «Kyiv Polytechnic Institute», Kyiv, Ukraine
  • Ю. А. Д’якова National Technical University of Ukraine «Kyiv Polytechnic Institute», Kyiv,
  • Н. О. Балицька Zhytomyr State Technological University, Zhytomyr,

DOI:

https://doi.org/10.20535/2305-9001.2014.71.35756

Keywords:

The circular plate, stability, critical load, energy criterion

Abstract

When cutting disk cutter at its border force of cutting, which can be decomposed into radial and tangential components. Under the action of radial force thin cutters may lose stability, leading to their destruction. Thin cutter can be seen as a circular plate unit thickness radius R, which is rigidly fixed in the center and loaded radial force F, and on its outer edge radial concentrated moment and shear force available.

The use of thin detachable cutters shows that very often the case of destruction, and taking into account these aspects of the problem is urgent.

Problem determination of critical power actually divided into two phases. First - the definition of the stress-strain state of mills under the applied forces. This problem is seen as a problem of plane strain condition for the development of the method of application of the theory of functions of a complex variable, developed in the works M.Mushelishvili. The second stage - the definition of critical power, which uses the energy method.

The main aim of the calculation is to determine the stability of the critical force applied to the plate boundary. To find the critical values of Pcr in this paper uses the energy stability criterion in the form of Brian

Author Biography

А. Є. Бабенко, National Technical University of Ukraine «Kyiv Polytechnic Institute», Kyiv

д.т.н., проф.

References

Vol'mir A.S. Ustojchivost' uprugih system (Stability of elastic systems). Moscow: Nauka, 1967, 984 p.

Alfutov N.A. Jenergeticheskij kriterij ustojchivosti uprugih tel (Energy criterion of stability of elastic bodies) Moscow: Mashinostroenie, 1978, 311 p.

Mushelishvili N.I. Nekotorye osnovnye zadachi matematicheskoj teorii uprugosti (Some basic problems of mathematical theory of elasticity) Moscow: Nauka, 1966, 709 p.

Abovskij N.P., Andreev N.P. Variacionnye principy teorii uprugosti i teorii obolochek (Variational principles of elasticity theory and the theory of shells) Krasnojarsk: Izd-vo Krasnojarskogo ped. in-ta, 1973, 190 p.

Mihlin S.G. Variacionnye metody v matematicheskoj fizike (Variational methods in mathematical physics) Moscow: Nauka, 1970, 512 p.

Published

2014-12-29

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