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Numerical control machining tool path optimization method based on asymmetric PH curve

A trajectory optimization, asymmetric technology, applied in digital control, comprehensive factory control, electrical program control, etc., can solve problems such as a large increase in data volume, and achieve the effect of increasing feed rate and improving continuity

Pending Publication Date: 2022-07-08
BEIHANG UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, since each sharp corner requires one or a pair of parametric curves for smoothing, the amount of data increases greatly

Method used

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  • Numerical control machining tool path optimization method based on asymmetric PH curve
  • Numerical control machining tool path optimization method based on asymmetric PH curve
  • Numerical control machining tool path optimization method based on asymmetric PH curve

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Embodiment 1

[0088] Below as figure 2 A G01 trajectory is shown as an example to implement the steps of the present invention. The three-dimensional coordinates of the tool position point of the tool path path are shown in Table 1:

[0089] Table 1 The three-dimensional coordinates of the tool position point of the G01 path

[0090]

[0091] In step 1, the maximum allowable contour error is given as ε=0.08, and P is calculated according to formula (1). i Angle θ of sharp corners at (i=1,...,8) i , get θ 1 =1.5708, θ 2 =0.2618, θ 3 = 2.6180, θ 4 =1.3090, θ 5 =1.0471, θ 6 = 2.0943, θ 7 = 0.5236 and θ 8 =1.5708. Substitute the angle value into formula (2) to calculate the upper limit l of the characteristic length of the transition curve at the sharp corner ε，i , get l ε，1 =0.0428, l ε，2 =0.2971, l ε，3 =0.0135, l ε，4 =0.0542, l ε，5 =0.0704, l ε，6 =0.0266, l ε，7 = 0.1471 and l ε，8 = 0.0428.

[0092] In step 2, the length of each straight line segment of the G01 traject...

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Abstract

The invention discloses a numerical control machining tool path optimization method based on an asymmetric PH curve, and the method comprises the following steps: obtaining an initial tool path path: inputting a model generated in computer-aided design software into computer-aided manufacturing software, and generating a G01 path; a sharp corner in the initial tool path track is found out; performing smooth transition on the sharp corner by adopting C4 local smooth transition based on an asymmetric PH curve to obtain a transition curve; and at each sharp corner, the linear track sections on the two sides of the sharp corner are replaced with transition curves, and an optimized tool path track is obtained. According to the method, the high-order smooth track with the curvature extreme value as small as possible can be obtained on the premise of ensuring the contour error and non-selfing, and the continuity of the numerical control machining tool path track is effectively improved.

Description

technical field [0001] The invention belongs to the field of numerical control machining and manufacturing, and relates to a numerical control machining tool path trajectory optimization method based on asymmetric Pythagorean-hodograph (PH) curves, in particular to spline curve feature extraction, multi-constrained trajectory approximation, and the construction and solution of optimization problems , the use of high-order continuous micro-curves to transition sharp corners in the toolpath trajectory can reduce subsequent feedrate fluctuations and improve processing speed and accuracy. Background technique [0002] In the process of digital processing under the guidance of the CNC system, the CNC system receives processing information such as the processing track, feed rate, tool position offset, etc., and then the interpolation module calculates the interpolation points in the processing process in real time according to the processing information. The machining path is usua...

Claims

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Application Information

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IPC IPC(8): G05B19/19
CPCG05B19/19G05B2219/35349Y02P90/02
Inventor 姜鑫胡一飞霍冠英苏澄李禾雄郑志明
Owner BEIHANG UNIV
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