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Unified discretization method for blade curved surfaces based on curvature characteristics

A technology of blades and curved surfaces, which is applied in the field of selection of discrete tool positions in wide-row CNC machining, and can solve problems such as tool path fluctuations

Active Publication Date: 2014-02-12
BEIHANG UNIV +1
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0006] 1. Purpose: The purpose of the present invention is to provide a unified discretization method based on the curvature characteristics of the blade surface to solve the problem of tool track fluctuations caused by the distortion of the parameter lines near the blade inlet and exhaust edges

Method used

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  • Unified discretization method for blade curved surfaces based on curvature characteristics
  • Unified discretization method for blade curved surfaces based on curvature characteristics
  • Unified discretization method for blade curved surfaces based on curvature characteristics

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Embodiment Construction

[0104] The invention proposes a method for uniformly discretizing blade curved surfaces based on curvature features. The blade section line is generally composed of the blade pot part, the blade back part and the small transition arcs at both ends. Wherein the central position of the circular arc transition of the curved surface of the blade is the midpoint of the small transitional arc. Such as figure 1 shown. Process flow of the present invention such as Figure 7 shown.

[0105] The specific implementation is as follows:

[0106] It may be advisable to set the shape parameter direction of the blade as the V direction, and the parameter equation of the blade surface as S(u, v), where 0≤u, v≤1.

[0107] Step 1 Select a representative section line r, and determine the center point B of the arc segment of the intake and exhaust edges on it 1 , B 2 Location. The specific process is as follows:

[0108] A certain isoparametric line S(u, v of the selected blade 0 ) as a...

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Abstract

The invention discloses a unified discretization method for blade curved surfaces based on curvature characteristics. The unified discretization method comprises the following steps: firstly, selecting a section line r, and determining central points B1 and B2 of an arc section; secondly, working out longitudinal curvature lines L2 and L6 from the points B1 and B2; thirdly, finding four points V1, V2, V3 and V4 from the two sides of the points B1 and B2; fourthly, working out longitudinal curvature lines L1, L3, L5 and L7 passing through the four points at the two ends of a blade; fifthly, taking the longitudinal curvature lines L1, L2 and L3 as isoparametric lines, parameterizing a region between the longitudinal curvature lines L1 and L3, and determining boundary lines l1 and l3; taking the longitudinal curvature lines L5, L6 and L7 as isoparametric lines, parameterizing a region between the longitudinal curvature lines L5 and L7, and determining boundary lines l5 and l7; sixthly, respectively determining arc central points M1 and M2 on the section line r; seventhly, determining longitudinal curvature lines L4 and L8 passing through the arc central points M1 and M2; eighthly, taking the longitudinal curvature lines L2, L4, L6 and L8 and the boundary lines l1, l3, l5 and l7 as isoparametric lines of a new parameter region, and re-parameterizing; ninthly, carrying out non-uniform discretization on curved surfaces according to new parameters.

Description

technical field [0001] The invention provides a unified discretization method for blade curved surfaces based on curvature characteristics, which is a discretization method for workpiece curved surfaces used for tool path planning in wide-row numerical control machining, and relates to a discrete tool position in wide-row numerical control machining A point selection method belongs to the technical field of surface numerical control processing. Background technique [0002] The isoparametric line method is one of the commonly used tool path planning methods in NC machining. This method mainly makes the tool move along a parameter direction of the workpiece surface. The isoparametric method relies on the parametrization of surfaces. [0003] In the commonly used CAM system, arc length parameterization is generally used for surface modeling. This parameterization method does not take into account the curvature of the surface, so the parameter line may be twisted or fluctuated...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 陈志同甘植旺吴献珍徐义平
Owner BEIHANG UNIV
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