A milling stability domain prediction method using Newton and Hermite interpolation methods

A technology of Hermitian interpolation and forecasting methods, applied in special data processing applications, instruments, complex mathematical operations, etc., can solve problems such as large amount of calculation, calculation accuracy and calculation efficiency cannot be improved at the same time

Active Publication Date: 2019-05-10
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

[0005] Purpose of the invention: In order to solve the problem that the above-mentioned calculation accuracy and calculation efficiency cannot be improved at the ...

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  • A milling stability domain prediction method using Newton and Hermite interpolation methods
  • A milling stability domain prediction method using Newton and Hermite interpolation methods
  • A milling stability domain prediction method using Newton and Hermite interpolation methods

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[0088] The drawings constituting a part of the present invention are used to provide a further understanding of the present invention, and the schematic embodiments of the present invention and their descriptions are used to explain the present invention, and do not constitute an improper limitation of the present invention.

[0089] Such as Figure 7 As shown, the present invention provides a milling stable domain prediction method utilizing Newton and Hermitian interpolation method, the method specifically includes the following steps;

[0090] Step 1: Construct the time-delay differential equation considering the dynamics of single-degree-of-freedom regenerative chatter milling, as shown in Equation 22:

[0091]

[0092] Among them, ζ, ω n 、m t, w and q(t) are the damping ratio, natural frequency, mass, axial depth of cut and coordinates of the tool, respectively, is the first derivative of q(t), is the second derivative of q(t), h(t) represents the cutting force c...

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Abstract

The invention provides a milling stability domain prediction method using a Newton and Hermite interpolation method, the time delay period is equally divided into a plurality of discrete cells; and then, a third-order Newton interpolation polynomial and a segmented third-order Hermite interpolation polynomial are adopted for respectively interpolating a state item and a time lag item in a time lagdifferential equation on each cell, and required items are approximated by adopting the same function value on the node and the same derivative value on the node, so that the fitting error of a calculation method is reduced. According to the method, the calculation precision and the calculation efficiency can be effectively improved, so that the milling stability domain can be predicted more accurately and efficiently, and a theoretical basis is provided for selecting reasonable cutting parameters for cutting technicians to improve the surface quality of parts.

Description

technical field [0001] The invention belongs to the field of advanced manufacturing technology, in particular to a method for predicting the stable region of milling by using the Newton and Hermitian interpolation method. Background technique [0002] As an efficient mechanical processing, milling has the advantages of high processing precision, high material removal rate and low processing cost, so it is widely used in the fields of aviation, aerospace, shipbuilding and key automotive parts processing. Chatter often exists in the milling process and is the main factor causing the instability of the process. In addition, chatter during milling will not only affect the surface quality of machined parts, but also reduce the life of CNC machine tools. Through the chatter stability prediction in the milling process, the chatter-free milling parameter combination can be selected to avoid chatter, improve processing efficiency and reduce processing cost. Therefore, a high-precis...

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Application Information

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IPC IPC(8): G06F17/50G06F17/13
Inventor 杨文安黄超蔡旭林刘伟超郭宇廖文和
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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