The strategy of driving the contour of the open gear by the chord


The example verification shows a schematic diagram of the end section of the workpiece. Point B (24.493, - 6.686) is a sharp point; the outer circumference of the workpiece has a spiral angle B = 30b, and the spiral direction is right-handed. The axial distance between the disc cutter and the workpiece during machining is A=75mm, and the inter-axis angle between the cutter and the workpiece is obtained.
Obtained from the known conditions: pz=2PR/tanBp=pz/2P=R/tanB=51.961mmri=24.4932 (-6.686)2=25.3891mmA=arctan(-6.686/24.493)=-0.26648rad as shown, according to the article The proposed computer-aided mapping method and the calculation flow shown in the figure, substituting the parameters p, ri, and A obtained according to the known conditions into equations (2) and (5), and plotting the function A=f(H) and the function E =g(H) corresponding curves C1, C2, according to the known condition A=75mm as the horizontal line L1, the only intersection point L1 and C1 is Inspnt1 (0.10995,75), and the intersection point is L2, which can obtain L2 and curve. C2 unique intersection Inspnt2 (0.10995, 64.236b), the abscissa of the point Inspnt2 is the corner H, and the ordinate is the inter-axis angle E. Therefore, it can be obtained: H=0.10995radE=64.236b The above known conditions and solution results E substitution into both (1) and (2) can be established. The verification results show that the computer-aided mapping method proposed in this paper can effectively solve the installation parameters of the disc cutter.
/r0/w0/x6,y60/x2,y20/l0/0/x3,y30/-H0)(command/move0/w0/x6,y60/x2,y20/0/0,00/@-L,00 In the program, xn and yn are specific coordinate values. The formation of the involute gear tooth profile generates an envelope. Involute gear tooth profile 1. When using, in the AutoCAD environment, open the graphic file containing a content. Dwg). Load and run the above program, type /(load/envelope.lsp0)0 at the command line, press enter, enter carriage, and press Enter to get the outline of the rack tool in different positions on the screen until b is shown.
2. To actually get the envelope of these rack tool contours, you must also use AutoCAD's fill command (bhatch), in a separate layer (for the next delete operation), within the top of the tooth circle, The hollow area of ​​the rack tool profile at different positions in the series is filled with any pattern, and the option to retain the boundary of the fill range is selected when filling. After the filling is completed, the unrelated primitives are deleted, and only the boundary of the filling range is retained, and the envelope of the rack tool profile of a series of different positions is obtained, that is, all the tooth profiles of the required involute standard gears are shown as c.
Conclusion The above method for obtaining the involute gear tooth profile is simple and practical, and all the tooth profiles including the root portion and the actual processed gear (standard gear or displacement gear) can be obtained at one time, which can meet the precise drawing. Some special requirements for the involute gear profile. Although this method must be supported by the AutoLISP language program embedded in AutoCAD, there are not many functions and syntax involved in the program. As long as you are familiar with AutoCAD, it is easy to master.

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