Rotation interpolation method for arbitrary curves

A curve interpolation and interpolation technology, applied in the field of numerical control, can solve the problem of less application of rotary interpolation

Active Publication Date: 2014-01-22
HANGZHOU DIANZI UNIV
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Problems solved by technology

However, due to various reasons, in most CNC systems, the application of rotation interpolation for these non-circular curves is relatively small.

Method used

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  • Rotation interpolation method for arbitrary curves

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Embodiment Construction

[0037] Such as figure 1 As shown, an arbitrary curve rotation interpolation method of the present invention includes the following steps:

[0038] Step (1) The matrix form of the rotation transformation is:

[0039] (1)

[0040] Representation point Rotate a certain angle counterclockwise around the origin of the coordinates , Get a new point . among them For point coordinates Means, For point coordinates Means, Is the angle of counterclockwise rotation.

[0041] Step (2) Since the graph of the rotation curve in the coordinate system is not a monotonic function, the trajectory is generally not a monotonic function, and it has to involve the control of the interpolation direction. The entire rotation curve can be divided into N parts by re-dividing each part, so that the rotation curve in each part is a monotonic function.

[0042] Step (3) Determine the interpolation direction output of this part of the rotation curve according to the s...

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Abstract

The invention relates to a rotation interpolation method for arbitrary curves. The rotation interpolation of non-circular curves is applied less by a traditional numerical control system, and the processing requirement of high-complexity curves cannot be met. The method disclosed by the invention comprises the following steps of firstly dividing a rotation curve into N monotone functions, then, controlling X-axis and Z-axis directions, then, performing accumulated computation on the output of standard non-circular curve interpolation modules, and performing interpolation output when the accumulation reaches a certain value until the interpolation is ended. The rotation interpolation algorithm for the arbitrary curves provided by the invention is simple in programming, and can be suitable for the rotation interpolation of the arbitrary curves. The processing efficiency and the processing quality are determined by the standard curve interpolation modules.

Description

Technical field [0001] The invention belongs to the technical field of numerical control, and specifically relates to an arbitrary curve rotation interpolation method. Background technique [0002] Numerical control systems are widely used in trajectory control of machining, mainly including CNC machine tools, robots, welding machines and other equipment. [0003] Interpolation calculation is to input basic data to the CNC system, use certain algorithms to calculate, and send feed commands to the corresponding coordinates according to the calculation results. Corresponding to each feed command, the CNC system moves a certain step in the corresponding coordinate direction Long, so that the workpiece can be machined into the required contour shape. [0004] With the continuous development of numerical control technology, the complexity of processing curves is increasing day by day, such as various non-circular curves such as ellipse, parabola, hyperbola, sine curve and cosine curve. ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B19/41
Inventor 高明煜楼佳祥吴占雄黄继业曾毓何志伟李芸杨宇翔
Owner HANGZHOU DIANZI UNIV
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