Difference Discretization Method for Milling Stability Prediction

نویسندگان

چکیده

This paper proposes a difference discretization method (DDM) under frame for the prediction of milling stability. In this method, dynamic process is described by delay differential equation (DDE) with two degrees freedom rather than traditional state-space form single discrete time delay. After discretization, only velocity and acceleration in DDE are approximated first- second-order central each smaller interval, while other items kept unchanged. Then, criterion optimal interval number put forward derived based on largest effective (also called critical interval). The use cannot obtain sufficient accuracy, but also promotes as much efficiency possible. Subsequently, new DDM (NDDM) varied numbers rotating speeds developed. Finally, effectiveness proposed algorithm demonstrated using benchmark example two-degrees-of- model compared to full (FDM) Hermite-interpolation (HFDM). results show that has satisfactory stability charts able increase 100% or more.

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ژورنال

عنوان ژورنال: Metals

سال: 2023

ISSN: ['2075-4701']

DOI: https://doi.org/10.3390/met13050896