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A Milling Stability Prediction Method Based on Cubic Polynomial

A stability prediction and polynomial technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problems of low calculation efficiency of calculation methods

Inactive Publication Date: 2017-11-28
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

[0003] The article "On the higher-order semi-discretizations for periodic delayed systems" in the "Journal of Sound and Vibration" magazine, Issue 313, 2008, published by the international publishing group ELSEVIER discloses a milling chatter based on a high-order semi-discrete method. Stability prediction method, which has high calculation accuracy, but the calculation method has low calculation efficiency

Method used

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  • A Milling Stability Prediction Method Based on Cubic Polynomial
  • A Milling Stability Prediction Method Based on Cubic Polynomial
  • A Milling Stability Prediction Method Based on Cubic Polynomial

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Embodiment Construction

[0157] The present invention is implemented through the following steps:

[0158] ① Establish the dynamic equation of the milling cutter in the single-degree-of-freedom milling process:

[0159]

[0160] in, is a constant coefficient matrix, is the coefficient matrix that changes with time period,

[0161] x(t) represents the state response of the tool at time t, ω n Indicates the natural frequency of the tool tip point, ζ indicates the relative damping, m t Indicates the modal quality, w indicates the axial cutting depth, and τ indicates the time lag;

[0162] h(t) represents the instantaneous chip thickness, and its expression is:

[0163]

[0164] In formula (2), N represents the number of teeth of the milling cutter, K t and K n are the cutting force coefficients in the tangential and normal directions, respectively, φ j (t) is the angular displacement of the jth tooth, the expression is φ j (t)=(2πΩ / 60)t+(j-1)·2π / N, window function g(φ j (t)) is defined ...

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Abstract

The invention relates to the field of advanced manufacturing, in particular to a milling stability predicting method based on a cubic polynomial. The milling stability predicting method has the advantages that a state term, a delay term and a cycle coefficient term of a dynamics equation are approximated by the cubic polynomial, the required term is fit by a plurality of known time points and corresponding responses, the local error of a calculating method is reduced, and the accuracy of the predicting method is improved; an H matrix is substituted into the stability lobe graph obtaining process, and is not directly substituted into an F matrix for calculating, so the number of iteration times in the F matrix calculating process can be reduced, the time of the calculating method is saved, and the calculating efficiency is improved.

Description

technical field [0001] The invention relates to the field of advanced manufacturing, in particular to a milling stability prediction method based on cubic polynomials. Background technique [0002] With the continuous development of my country's aerospace, transportation and energy fields, high-speed cutting technology has emerged and has been widely used in the manufacture of complex parts. Chatter during milling seriously affects the surface quality of the workpiece and may cause damage to the machine tool. Predict the chatter stability of the milling process, select the appropriate processing conditions, improve processing efficiency, and reduce processing costs. [0003] The article "On the higher-order semi-discretizations for periodic delayed systems" in the "Journal of Sound and Vibration" magazine, Issue 313, 2008, published by the international publishing group ELSEVIER discloses a milling chatter based on a high-order semi-discrete method. The stability predictio...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F19/00
Inventor 刘志兵闫正虎王西彬王东前刘彪吕维维赵倩
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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