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Orthogonal polynomial-based milling stability prediction method

An orthogonal polynomial and stability prediction technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as low calculation efficiency, long time, and calculation accuracy that need to be improved

Inactive Publication Date: 2015-06-03
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

[0003] "Updated semi-discretization method for periodic delay-differential equations with discrete "delay" discloses a milling chatter stability prediction method based on the semi-discrete method. Using this method, the chatter stability limit can be obtained, but the disadvantage is that the calculation efficiency of this method is low, and the stability leaf The petal map takes a long time, and the calculation accuracy of the algorithm needs to be improved

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  • Orthogonal polynomial-based milling stability prediction method
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  • Orthogonal polynomial-based milling stability prediction method

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Embodiment Construction

[0099] The present invention comprises the following steps:

[0100] ①Establish the dynamic equation of milling cutter single degree of freedom milling process:

[0101] (1)

[0102] in, is a constant coefficient matrix, is the coefficient matrix that changes with time period, Indicates that the tool is momentary status response, Indicates the natural frequency of the tip point, represents the relative damping, represents the modal mass, is the axial depth of cut, Indicates time lag;

[0103] Indicates the instantaneous chip thickness, and its expression is:

[0104] (2) In formula (2), Indicates the number of teeth of the milling cutter, and are the cutting force coefficients in the tangential and normal directions, respectively, for the first The angular displacement of the cutter tooth, the expression is , the window function The definition formula is:

[0105] (3)

[0106] In formula (3), and re...

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Abstract

The invention relates to the field of advanced manufacturing, in particular to an orthogonal polynomial-based milling stability prediction method. The orthogonal polynomial-based milling stability prediction method adopts orthogonal polynomials to approach a state term, a delay term and a periodical coefficient term in a kinetic equation, and adopts a plurality of known time points and responses thereof to fit the needed terms, so that the local errors of the calculation method are reduced, and thereby the precision of the prediction method is increased; meanwhile, in the process of obtaining a stability lobe diagram, an H matrix is introduced instead of directly substituting an F matrix for calculation, so that the number of iterations in the F matrix calculation process is reduced, consequently, the time of the calculation method is saved, and the efficiency of calculation is increased.

Description

technical field [0001] The invention relates to the field of advanced manufacturing, in particular to a method for predicting milling stability based on orthogonal polynomials. Background technique [0002] As our country continues to integrate into the global market, the manufacturing industry is facing more and more competitive pressures, and high-speed cutting technology has emerged as the times require, and has been widely used in the manufacture of complex parts in the fields of aviation, aerospace, ships, molds and automobiles. Cutting Chatter during the process seriously affects the surface quality of workpieces, reduces the service life of machine tools and cutting tools, and may cause damage to machine tools. Predicting the chatter stability of the milling process and selecting appropriate processing conditions can control the occurrence of chatter, improve processing efficiency, and reduce processing costs. If the stability prediction is not carried out, many expe...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 刘志兵闫正虎王西彬吕维维刘彪赵倩王东前
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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