Spatial elliptic arc interpolation method

An elliptical arc and interpolation technology, applied in the field of CNC machining, can solve the problems of complex process and large amount of calculation.

Active Publication Date: 2014-11-05
BEIHANG UNIV
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Problems solved by technology

However, in the existing public literature, coordinate transformation and trigonometric function calculation are mostly used to realize the interpolation of the space ellipse arc. These methods usually have a large amount of calculation, the process is complicated, and it is difficult to realize in the numerical control system.

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Embodiment Construction

[0066] The implementation examples of the present invention will be described in detail below in conjunction with the accompanying drawings. Taking a whole ellipse as the interpolation object, the implementation flow chart is as follows figure 1 As shown, there are the following specific steps:

[0067] Step 1, define the code format of spatial elliptical arc interpolation:

[0068] Take a major axis length of 50, a minor axis length of 30, a major axis direction vector of (3,4,0), a minor axis direction vector of (-4,3,0), and the center of the ellipse at the origin (0,0 ,0) is the interpolation object. Define the start point and end point of the ellipse arc interpolation as (30,40,0), that is, one end point of the long axis, the interpolation feed rate is 100mm / s, and the G code format is:

[0069] G03.1 X30 Y40 Z0 I-30 J-40 K0 AL50 BL30 AX3 AY4 AZ0 BX-4 BY3 BZ0 F100

[0070] Step 2, decoding to obtain the spatial elliptic arc interpolation data information:

[0071] Th...

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Abstract

A spatial elliptic arc interpolation method comprises the following six major steps: step 1, a spatial elliptic arc interpolation code format is defined; step 2, decoding is carried out to acquire spatial elliptic arc interpolation data information; step 3, an interpolation central angle is calculated; step 4, interpolation parameter increment is calculated; step 5, interpolation point calculation is carried out; and step 6, the interpolation ending point is judged. The spatial elliptic arc interpolation method of the invention is applicable to interpolation of elliptic arcs with any starting and ending points and in any spatial planes. The spatial position and the interpolation direction of an elliptic arc are determined by the long-axis direction vector and the short-axis direction vector of the elliptic arc, and regulate interpolation in the counterclockwise direction of the vector product of the two direction vectors. The spatial elliptic arc interpolation method of the invention requires no interpolation quadrant judgment, has a clear and simple process, and is easy to implement.

Description

technical field [0001] The invention relates to a space ellipse arc interpolation method, which belongs to the technical field of numerical control machining. Background technique [0002] In NC machining, it often involves the machining of spatial arcs or elliptical arcs. Spatial arc interpolation is an important method for the processing of space free curves and surfaces. Many scholars have studied the use of arc splines formed by continuous small arc segments to approximate space free curves and surfaces. Compared with the traditional small space linear segment approximation, it can greatly Reduce the number of codes and improve the approximation accuracy. Circular arc is a special case of elliptical arc. Relatively speaking, spatial circular interpolation is easier to realize, but in many cases, better results can be obtained by using spatial elliptical arcs to approximate free curves and surfaces in space. Therefore, it is necessary to study a spatial Interpolation me...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B19/41
Inventor 刘强刘焕周胜凯李传军
Owner BEIHANG UNIV
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