DOI: 10.18503/1995-2732-2024-22-3-101-112
Abstract
Problem Statement (Relevance). Despite the obvious negative effect of the waviness parameter on the performance properties of parts, there are transmissions, where waviness has a positive effect. Such transmissions include friction transmissions, in particular, the belt drive of the continuously variable transmission. Additional waves influence the coefficient of friction, reducing belt slippage at high torque, and also control this phenomenon by structuring contact interaction spots. Preliminary modeling and examination of the performance characteristics and properties of wavy textures will reduce the material and time costs for conducting field experiments. However, currently available open scientific and technical literature does not contain appropriate or detailed analytical approaches to modeling the texture of surface waviness. In this regard, it is currently relevant to develop mathematical models and analytical approaches for modeling 3D waviness textures. Objectives. The research is aimed at developing an analytical approach to model 3D textures of a continuously variable transmission pulley wavy surface during finish lathe turning, using a functional geometrical description of the tool cutting edge. Methods Applied. The paper contains theoretical studies conducted by applying main provisions of the mechanical engineering technology and a mathematical analysis. Originality. The paper proposes the mathematical dependence between waviness of the V-belt transmission pulley surface as a system of piecewise functions that describes geometry of the tool cutting edge. The paper proposes a mathematical model of waviness formation in the turning process provided that there are no fluctuations, when the displacement of the cutter is considered exclusively from a geometric point of view characterized by dynamics of the cutter feed, cutter geometry and cutting depth. Result. The paper presents a proposed algorithm of geometric modeling of the pulley waviness texture to be used both in automatically controlled environment and analytical calculations, and developed models of waviness for some parameters of the cutting tool. Practical Relevance. The research is aimed at improving the quality of machining and forming the microprofile with the required texture on the V-belt transmission surface to decrease the machining time by reducing the number of technological operations.
Keywords
surface texture, turning, waviness, pulley, cutter, mathematical model
For citation
Generalova A.A., Nikulin A.A., Bychkov D.S. Modeling the Texture of a Wavy Surface During Pulley Turning. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2024, vol. 22, no. 3, pp. 101-112. https://doi.org/10.18503/1995-2732-2024-22-3-101-112
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