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PREDICTING AND CONTROLLING MACHINING ACCURACY IN MULTI-TOOL SETUPS USING MATRIX THEORY

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Abstract

This paper presents the fundamentals of the matrix theory for multi-tool machining accuracy. A comprehensive complex of analytical and stochastic mathematical models has been developed to evaluate machining errors, specifically dimensional distortions and dispersion fields. These models account for critical technological factors, including system stiffness, material properties, and cutting parameters across various setup classes. The proposed methodology enables the solution of direct problems (predicting accuracy) and inverse problems (optimizing cutting conditions and designing effective setup structures). Ultimately, these models provide a robust methodological foundation for Computer-Aided Process Planning (CAPP) systems in multi-tool turning operations.


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