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Plenary Lecture

A Study on Centerless Grinding

Associate Professor Nicolae-Doru Stanescu
Faculty of Mechanics and Technology
Department of Applied Mechanics
University of Pitesti
Pitesti, Romania
E-mail: s_doru@yahoo.com

Abstract: Our goal is to perform a study on the dynamics of the piece in the centerless grinding process. The model constructed in this paper is a high non-linear one, resulted from the geometry of the centerless grinding. For this model we perform the development into Taylor series to obtain the depth of cut as function of the displacement of the piece, as a third degree polynomial. In this form, we get three potential positions of equilibrium for the piece. To avoid two such equilibrium positions (which are unstables) and lead to a mathematical model that uses the Heaviside step function, we determine the geometric condition for the existence and uniqueness of the equilibrium position. We also prove that this unique position of equilibrium is a simply stable one. This condition is one and the same to the condition of existence for the harmonic development of the solution around the simply stable equilibrium position. We determine this solution till the third order harmonic and we present the condition to avoid the secular terms in the solution. In this way we give a theoretical explanation for the triangular shape of the obtained piece by centerless grinding. The study assumed that the cutting force is a linear expression in depth of cut and the piece does not loose the contact to both cutting disc and driven disc.

Brief Biography of the Speaker:Nicolae-Doru Stanescu (born 1965) graduated the Faculty of Machines Construction’s Technology at the “Politehnica” University of Bucharest in 1989, and the Faculty of Mathematics and Computer Science at the University of Pitesti in 1995. Since 2003 he is PhD in Mechanical Engineering at the University of Pitesti, and since 2008 he is PhD in Mathematics at the University of Bucharest. Now, he is Associate Professor at the Department of Automotive and Transportation at the University of Pitesti, where he teaches Mechanics, Numerical Methods, Mechanics of System. He wrote more than 200 articles and 10 books, two of them with international publishing houses. He participated as researcher or was director at 8 grants. He is member of the International Institute of Accoustic and Vibration in USA, and of Societe des Ingineurs de l’Automobile, France, among other associations. He was invited professor at Instituto Superior Tecnico, Lisbon, Portugal, and University Tor Vergata, Rome, Italy. His fields of interests are: mechanics of systems, non-linear vibrations, dynamical systems, stability, chaos, and numerical analysis. He is the winner of ‘Traian Vuia” prize of the Romanian Academy.

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