Milling stability prediction method based on implicit exponential time-history difference multi-step method

Abstract

A milling stability prediction method based on an implicit exponential time-history difference multistep method comprises the steps that a milling system is analyzed, a kinetic model is established, then a forced vibration stage is divided into a plurality of time intervals at equal intervals, discrete values at discrete points are solved through the implicit exponential time-history difference multistep method within each time interval, the state transfer matrix of the milling system in the adjacent periods is obtained, the characteristic value of the state transfer matrix is calculated, andthe stability of the milling system is judged according to the Floquet theory, so that the prediction precision and the calculation efficiency are improved, and therefore, proper process parameters can be optimally selected to improve the processing efficiency and reduce the production cost; specifically, in the high-speed cutting process of a numerical control precision machining center, reasonable cutting parameters are selected through a milling flutter stability lobe graph, flutter-free stable cutting machining is achieved, and better surface quality and machining precision are obtained.

Description

technical field [0001] The invention relates to the field of advanced manufacturing technology, in particular to a milling stability prediction method based on an implicit exponential time history difference multi-step method. Background technique [0002] With the development of high-precision and high-quality key parts in the field of machinery manufacturing such as aviation, aerospace and vehicles, more and more stringent requirements are put forward for the performance of CNC machine tools. As the most common and important machining technology, CNC milling has the advantages of small deformation, low milling force, high precision and high efficiency. However, the milling process is often accompanied by various vibrations, which will accelerate tool wear and Damage seriously affects the surface quality of the workpiece, greatly restricts the machining accuracy and efficiency, and makes it difficult for machine tools and tools to perform their functions. By predicting the...

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Problems solved by technology

[0003] Currently, the literature "Jiang SL, Sun YW, Yuan XL, Liu WR. A second-order semi-discretization method for the efficient and accurate stability prediction of milling process. The International Journal of Advanced Manufacturing Technology, 2017; 92(1–4): 583–595” discloses a milling stability prediction method based on the second-order semi-discrete method, which uses the fine integration method to calculate the exponential matrix, which improves the calculation efficiency, but the calculation accuracy is very poor

The literature "Wu Y, You YP, Liu AM, Deng B, Liu W. An implicit exponentially fitted method for chatter stability prediction of milling processes. The International Journal of Advanced Manufacturing Technology, 2020, 106:2189–2204" discloses a method based on three Milling stability analysis method based on step exponential fitting method, which has high calculation efficiency but low calculation accuracy

In addition, the Chinese patent document "CN106843147A" discloses a method for predicting milling stability based on the Hamming formula, which has high computational efficiency but low computational accuracy

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