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Method for plane segmented approximation of arc

A technology of plane segment and arc, applied in the field of sheet metal processing

Active Publication Date: 2017-01-25
HARBIN INST OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0003] Laser plate forming technology is a typical technology for local forming of plates. During the forming process, the laser beam is irradiated on the surface of the plate to be formed with a certain spot size, and the scanning area is bent and formed. The combination of many scanning areas can be Forming the sheet into a variety of shapes, it is this local scanning forming method that causes the laser sheet forming technology to face the problem of scanning strategy planning

Method used

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  • Method for plane segmented approximation of arc

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Embodiment 1

[0058] As described above, the method for approaching a circular arc by plane segmentation, the difference of this embodiment is that the method performs arbitrary segmentation on a plane or a straight line, and uses the chord angle theorem to establish the relative bending angle mathematics between adjacent segmentation segments. model, and then use the law of cosines to calculate the angle between the split node and the end of the plane or straight line or other split nodes relative to the adjacent segment, and then calculate the angle between the split node and the end of the plane or straight line or the other split nodes Length, and finally calculate the height of the end of the plane or line or other segmented nodes relative to the initial position of the plane or line, and use this height as the basis for approximating the arc.

[0059] Compared with other arc approximation methods, the present invention has the advantage of providing a method based on the relative displ...

Embodiment 2

[0061] As described above, the method for approaching a circular arc by plane segments, the difference of this embodiment is that the implementation of the method for approaching a circular arc by plane segments according to the present invention is realized through the following steps:

[0062] Step 1: Divide the plane or straight line arbitrarily to obtain the length of each segment.

[0063] Step 2: Calculate the relative bending angles between adjacent segments.

[0064] Step 3: According to the relative bending angle of the adjacent segment and the cosine law, calculate the angle between the segment node and the end of the plane or the line connecting the other segment nodes with respect to the adjacent segment.

[0065] Step 4: Use the law of cosines to calculate the length of the connecting line between the split node and the end of the plane or straight line or other split nodes.

[0066] Step 5: According to the calculation results of steps 3 and 4, finally calculate...

Embodiment 3

[0070] As mentioned above, the method for approaching a circular arc by plane segments, the difference of this embodiment is that the implementation of the present invention is divided into five steps. Curvature, and then divide the plane or straight line according to the given division method, and then calculate the displacement of the end of the plane or straight line and each division point relative to the initial position after each bending, as the basis for approximating the arc, as shown in the attached figure 1 shown.

[0071] Step 1: As attached figure 1 As shown, the plane or straight line is arbitrarily divided into n parts, and the length of each part is L 1 , L 2 , L 3 …L n , the central angle corresponding to each part is α 1 、α 2 、α 3 …α n , then there are n-1 split nodes after splitting.

[0072] Step 2: Calculate the relative bending angle between adjacent segments by using the chord cut angle theorem, that is, the sum of the circumferential angles of ...

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Abstract

The invention provides a method for plane segmented approximation of an arc. The method is suitable for a forming path in forming technologies such as laser plate forming and plate local bending forming. The plane or straight line feature segmented approximation is performed based on sine and cosine theorem and a triangle geometrical relationship to be arc with a given curvature. According to the method for plane segmented approximation of the arc, a plane or a straight line is segmented in advance, a segmentation mode is uniform segmentation or random segmentation, the elevated heights of the end of the plane or the straight line and each segmentation node relative to the initial position of the plane or the straight line after each segmentation section is calculated based on the sine and cosine theorem and the triangle geometrical relationship according to the curvature radius of the to-be-approximated arc, each segmentation section is bent to approximate the arc, and finally the goal of approximating the arc with the given curvature is achieved. A relationship of a laser forming technology and a mathematical theory model can be established, and the method is of very good guiding significance for improving forming precision.

Description

technical field [0001] The invention relates to the field of sheet material processing, in particular to a method for approaching a circular arc in plane segments. Background technique [0002] Sheet metal forming technology is widely used in modern industry, and its formed parts account for a large proportion. There are many methods for sheet metal forming, such as aging forming, incremental bending forming, shot peening forming, laser bending forming, etc. In these methods The laser bending forming in the medium belongs to local bending forming. By arranging a certain scanning area on the heating surface of the plate, and then bending forming a certain amount of deformation on the plate, using different forming parameters to control the bending angle of the plate can be formed into different shapes, while the arc A shape is one of the formed shapes. Forming a plate into a circular arc with a certain curvature is widely used in actual industries. For example, many plate st...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): B21D5/00
CPCB21D5/00
Inventor 杨立军付守冲张宏志王扬王懋露
Owner HARBIN INST OF TECH
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