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ON NEW APPROACH TO DEVELOPING MATHEMATICAL MODEL OF WORKPIECE SURFACE FORMING UNDER VIBRATION CLEANING

Abstract

The issues on the mathematical description of the workpiece surface forming pattern generation under the vibration cleaning are considered. The probability that the predetermined point within the specific area has been cleaned is calculated. The mathematical expectation of the workpiece random area by the particles of the processing medium is presented.

About the Authors

Anatoly P. Babichev
Don State Technical University.
Russian Federation


Nikolay T. Mishnyakov
Don State Technical University
Russian Federation


Dieudonné Essola
Don State Technical University
Russian Federation


References

1. Babichev A.P. Osnovy` vibracionnoj texnologii / A.P. Babichev, I.A. Babichev. – Izd. 2-e, pererab. i dop. – Rostov n/D: Izdatel`skij centr DGTU, 2008. – 694 s. – In Russian.

2. Kendalya M. Geometricheskie veroyatnosti / M. Kendalya, P. Moran. – M.: Nauka, 1972. – In Russian.

3. Babichev A.P. Opredelenie srednego znacheniya ploshhadi obrabotannoj ploskoj detali pri vi-broobrabotke v sluchae naiplotnejshej upakovki / A.P. Babichev, N.T. Mishnyakov // Voprosy` vi-bracionnoj texnologii: mezhvuz. sb. nauch. tr. – Rostov n/D, 2003. – In Russian.

4. Babichev A.P. K raschyotu nekotory`x parametrov vibracionnoj obrabotki na osnovanii te-oretiko-veroyatnostnoj modeli processa / A.P. Babichev, N.T. Mishnyakov // Voprosy` vibracionnoj texnologii: mezhvuz. sb. nauch. tr. – Rostov n/D, 1999. – In Russian.

5. Babichev A.P. Reshenie voprosov prodolzhitel`nosti vibroobrabotki po novoj teoretiko-veroyatnostnoj sxeme processa vibroobrabotki / A.P. Babichev, N.T. Mishnyakov // Otdelochno-uprochnyayushhaya mexanicheskaya obrabotka, kachestvo poverxnosti i e`kspluatacionny`e svojstva detalej mashin: sb. statej / RISXM. – Rostov n/D, 1978. – In Russian.

6. Babichev A.P. Opredelenie ploshhadi mnozhestva tochek na ploskosti, obrazovanny`x rovno t krugami radiusa r (na primere vibracionnoj obrabotki) / A.P. Babichev, N.T. Mishnyakov // Voprosy` vibracionnoj texnologii: mezhvuz. sb. nauch. st. – Rostov n/D: Izdatel`skij DGTU, 2007. – S.109-110. – In Russian.


Review

For citations:


Babichev A.P., Mishnyakov N.T., Essola D. ON NEW APPROACH TO DEVELOPING MATHEMATICAL MODEL OF WORKPIECE SURFACE FORMING UNDER VIBRATION CLEANING. Vestnik of Don State Technical University. 2012;12(3):136-138. (In Russ.)

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ISSN 2687-1653 (Online)