ESTIMATION ON THE WEAR AND DURABILITY OF THE HEAD OF THE MILLS USING DIFFERENT MODELS

SĂRĂCIN IOAN ALEXANDRU, ILIE FILIP, VOICU GHEORGHE

Abstract


The mathematical model presented in this paper is one of the possible mathematical models to use to estimate the wear and lifespan of the head of the milling cutter, which has an appreciable age and initially modeled a relatively similar phenomenon of aggression or erosion of an entity by a high. The mathematical model of the prey-predator population system, well known in ecology and expressed in a system of differential equations always of the order of AJ Lotka and V. Volterra is successfully applied in other fields: economics, services, prediction of technological evolution, adoption cryptocurrencies, hygiene, communications (security and optimization), medicine, passenger transport forecast, plasma physics. In this wide context of applications, there are also applications used in the paper, of the prey-predator model, Lotka-Volterra, to the interaction phenomenon between the dental milling cutter and the milled material. The application starts from the assimilation of the dental cutter with the predator that extracts material from the body of the milled material, assimilated with the prey. The milling action, the action of the predator, does not remain without negative results for him, the milling material also losing particles. Both parts of this phenomenon cannot grow as a mass, an experimental aspect that turns into an important hypothesis

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