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A milling stability domain prediction method based on cotes numerical integration

A technology of numerical integration and stable domain, applied in geometric CAD, electrical digital data processing, special data processing applications, etc., can solve problems such as high calculation efficiency, high calculation accuracy, and large calculation time consumption, so as to reduce calculation times, calculate Effects of improved accuracy and increased computational efficiency

Active Publication Date: 2022-05-13
NANCHANG HANGKONG UNIVERSITY
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Problems solved by technology

Another example: Chinese patent "a milling stability prediction method based on orthogonal polynomials" (announcement number: 104680000), when calculating the stability lobe diagram, the transfer matrix needs m iterations at discrete intervals, and the calculation efficiency is still not high enough
In general, in actual industrial applications, the dynamic analysis of milling systems usually involves a large parameter matrix, which will consume a lot of computing time when performing stability prediction
For the existing frequency domain methods and discrete methods, it is difficult to meet the requirements of strong versatility, high calculation accuracy and high calculation efficiency at the same time

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  • A milling stability domain prediction method based on cotes numerical integration
  • A milling stability domain prediction method based on cotes numerical integration
  • A milling stability domain prediction method based on cotes numerical integration

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Embodiment Construction

[0079] The present invention will be further described below in conjunction with drawings and embodiments. see Figure 1 to Figure 3 , a method for determining the stable region of milling based on Cotes numerical integration, the specific steps are as follows:

[0080] Step 1: Establish the milling dynamics differential equation in state space form considering regeneration effect:

[0081]

[0082] Specific steps are as follows:

[0083] S01: The milling dynamics differential equation of n degrees of freedom considering the regenerative effect can be expressed as:

[0084]

[0085] Among them, M, C and K are the modal mass matrix, modal damping matrix and modal stiffness matrix of the tool system with n degrees of freedom, q(t) is the vibration displacement vector of the tool with n degrees of freedom, K c (t) is the dynamic milling force matrix suffered by the system, t is the continuous time, T is the cutting cycle of a single tooth, a p is the axial depth of cut;...

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Abstract

The invention discloses a milling stable domain determination method based on Cotes numerical integration, which establishes a milling dynamics differential equation in the form of a state space considering the regeneration effect: the continuous time in a cycle t Represented as a discrete time node: calculate the equation expression in the interval: calculate the equation about the state item, and obtain the state transition matrix of the system within one cycle, and finally take the spindle speed as the abscissa, and the axial depth of cut as the ordinate A plot is made to obtain a stability diagram. When selecting the milling processing parameters, in the stable area below the black curve, select the corresponding spindle speed and axial depth of cut for milling processing, that is, chatter-free cutting can be obtained. The invention reduces the number of calculations of the exponential matrix and the state transition matrix, so that the calculation efficiency is greatly improved compared with the discrete method; and due to the mathematical approximation error reaching O ( h 6 ), the calculation accuracy is also greatly improved compared with the frequency domain method and the discrete method.

Description

technical field [0001] The invention belongs to the numerical control milling processing technology and is applied to predict the flutter problem in the numerical control milling processing process. In particular, it relates to a prediction method of milling stable region based on Cotes numerical integration. Background technique [0002] With the rapid development of modern manufacturing industries such as aviation, aerospace, ships and vehicles and the continuous advancement of science and technology. The requirements for product performance are also constantly improving. Some structural parts with large overall size, complex structural shape and high material removal rate, such as: the processing of structural parts such as aircraft girders, wall panels, and overall engine blisks, meet the design performance requirements. At the same time, it brings great difficulties to the manufacturing process and processing efficiency. How to manufacture these key parts with high qu...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F30/17G06F119/14
CPCG06F30/20G06F30/17G06F2119/14
Inventor 秦国华娄维达叶海潮林锋吴竹溪
Owner NANCHANG HANGKONG UNIVERSITY
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