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Stability state acquiring method of milling system

A system stability and acquisition method technology, applied in the field of digital manufacturing in NC machining, can solve problems such as difficult stability analysis of time-delay differential equations

Active Publication Date: 2019-07-30
SHANGHAI UNIVERSITY OF ELECTRIC POWER
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Problems solved by technology

However, from a mathematical point of view, the milling dynamics model is a differential equation with a time-delay term, and the equation has an infinite-dimensional state space, which makes it very difficult to analyze the stability of the time-delay differential equation. There is no fast and effective Method for Obtaining Stability State of Milling System

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  • Stability state acquiring method of milling system

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Embodiment Construction

[0032] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments. Apparently, the described embodiments are some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts shall fall within the protection scope of the present invention.

[0033] As shown in the figure, the present invention relates to a method for obtaining a stable state of a milling system, comprising the following steps:

[0034] Step 1. Construct a function integral and quadrature formula based on the Hermite interpolation polynomial; the specific construction content is as follows:

[0035] Assuming that the continuous function is f(x) and the estimated function is g(x), then g(x) can be expressed as the following formula:

[0036]

[0037] In the formula, h is the length of the discrete inte...

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Abstract

The invention relates to a stability state acquiring method of a milling system. The method comprises the steps of 1, building a Hermite interpolation polynomial functional integration quadrature formula; 2, building a function relation between a free vibration starting point an ending point of a cutter based on the theory that the cutter vibrates during cutting by a milling cutter; and building amilling state transferring torque; 3, determining the stability of the milling system based on the floquet theory and the built milling state transferring trolley; and 4, building a stability boundary diagram based on the determined stability of the milling system. Compared with the prior art, the method has the advantages that the milling system stability state can be acquired on the premise that the calculation accuracy is not reduced, and the stable boundary of the milling system can be quickly constructed, so that the method is of important significance on selecting of non-vibration milling processing parameters in production process.

Description

technical field [0001] The invention relates to the field of digital manufacturing in numerical control machining, in particular to a method for acquiring the stability state of a milling system. Background technique [0002] Chatter is a harmful phenomenon in the metal cutting process. When chatter occurs in the milling process, the unstable process system will increase the wear of the tool, accelerate the damage of the machine tool and fixture, reduce the processing efficiency and generate large noise pollution. When chatter occurs in the milling process, the milling process is in an unstable state. Explore the milling dynamics model, study the stability of the milling dynamics model, and determine the stable milling parameters to guide actual processing. However, from a mathematical point of view, the milling dynamics model is a differential equation with a time-delay term, and the equation has an infinite-dimensional state space, which makes it very difficult to analyze ...

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Application Information

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IPC IPC(8): B23Q11/00
CPCB23Q11/0039
Inventor 董新峰仇中柱韩清鹏
Owner SHANGHAI UNIVERSITY OF ELECTRIC POWER
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