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Minimum velocity fluctuation interpolation method based on twice Taylor expansion

A speed fluctuation and interpolation technology, applied in the direction of program control, instrument, computer control, etc., can solve the problem of poor surface quality of parts, and achieve the effect of eliminating truncation errors.

Active Publication Date: 2022-02-11
GUANGDONG UNIV OF TECH
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Problems solved by technology

[0003] In order to solve the above-mentioned technical problems, the object of the present invention is to provide a minimum velocity fluctuation interpolation method based on two Taylor expansions to eliminate the disadvantages of poor machining surface quality of parts caused by speed fluctuations

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  • Minimum velocity fluctuation interpolation method based on twice Taylor expansion
  • Minimum velocity fluctuation interpolation method based on twice Taylor expansion
  • Minimum velocity fluctuation interpolation method based on twice Taylor expansion

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Embodiment Construction

[0043] The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments. For the step numbers in the following embodiments, it is only set for the convenience of illustration and description, and the order between the steps is not limited in any way. The execution order of each step in the embodiments can be adapted according to the understanding of those skilled in the art sexual adjustment.

[0044] refer to figure 1 and figure 2 , the present invention provides a minimum velocity fluctuation interpolation method based on two Taylor expansions, the method comprising the following steps:

[0045] S1. Constructing a path curve and a speed curve according to path information and constraint conditions;

[0046] S1.1, read path information (x 1 ,y 1 ), (x 2 ,y 2 ), (x 3 ,y 3 ),...,(x n ,y n );

[0047] S1.2. Obtain the path curve C(u)=(x(u), y(u), z(u)) based on NURBS curve fitting, where u is a pa...

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Abstract

The invention discloses a minimum velocity fluctuation interpolation method based on twice Taylor expansion. The method comprises the following steps: constructing a path curve and a velocity curve according to path information and constraint conditions; on the basis of Taylor expansion, calculating an uncompensated interpolation point in the path curve according to the speed curve to obtain an uncompensated interpolation point; performing plane transformation on the uncompensated interpolation point to obtain an uncompensated interpolation point after plane transformation; on the basis of second-order Taylor expansion, calculating compensation interpolation points in the same plane according to the uncompensated interpolation points after plane transformation; and carrying out inverse transformation on the compensation interpolation point to obtain a final interpolation point. By using the method, the defect that the quality of the machined surface of a part is poor due to speed fluctuation is overcome. The minimum velocity fluctuation interpolation method based on twice Taylor expansion can be widely applied to the field of motion control.

Description

technical field [0001] The invention relates to the field of motion control, in particular to a minimum velocity fluctuation interpolation method based on two Taylor expansions. Background technique [0002] With the development of power energy, aerospace and other technologies, the requirements for processing quality and processing efficiency of complex curved surface parts are getting higher and higher. The NURBS curve interpolation method is widely used in the industry due to its flexibility in fitting various paths. However, in the process of parameter interpolation, the parameter u of NURBS curve fitting and the arc length s along the tool path cannot be completely realized. Correspondingly, that is, the arc length converted from the interpolation parameter increment deviates from the planned interpolation step length, so this becomes the unsmooth feed motion of the CNC system-speed fluctuation. In order to reduce the speed fluctuation, some The interpolation method ba...

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Application Information

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IPC IPC(8): G05B19/41
CPCG05B19/41G05B2219/34083
Inventor 高健张桂鑫张揽宇陈桪陈云贺云波陈新
Owner GUANGDONG UNIV OF TECH
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