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fix chamfering of hirth joint
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1 changed files with 26 additions and 29 deletions
55
joiners.scad
55
joiners.scad
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@ -1329,39 +1329,36 @@ module hirth(n, ir, or, id, od, tooth_angle=60, cone_angle=0, chamfer, rounding,
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factor = crop ? 3 : 1; // Make it oversized when crop is true
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profile = is_undef(rounding) || rounding==0 ?
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let(
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chamfer=default(chamfer,0),
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vchamf = chamfer*(ridge_angle-valley_angle),
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pts = [
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[-angle*(1-chamfer/2), valley_angle+vchamf/2],
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[-angle*chamfer, ridge_angle-vchamf]
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],
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full = deduplicate(concat(pts, reverse(xflip(pts))))
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)
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back(valley_angle, skew(sxy=skew*angle/(ridge_angle-valley_angle),fwd(valley_angle,full)))
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: let(
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vround=rounding*(ridge_angle-valley_angle),
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profpts = [
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[ -angle, valley_angle+vround/2],
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[ -angle*(1-rounding/2), valley_angle+vround/2],
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[ -angle*rounding, ridge_angle-vround],
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],
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segs = max(16,segs(or*rounding)),
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full = concat(profpts, reverse(xflip(profpts))),
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skewed = back(valley_angle, skew(sxy=skew*angle/(ridge_angle-valley_angle),fwd(valley_angle,full))),
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// Using computed values for the joints lead to round-off error issues
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joints = [(skewed[1]-skewed[0]).x, (skewed[3]-skewed[2]).x/2, (skewed[3]-skewed[2]).x/2,(skewed[5]-skewed[4]).x ],
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roundpts = round_corners(skewed, joint=joints, closed=false,$fn=segs)
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)
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roundpts;
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// project spherical coordinate point onto cylinder of radius r
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cyl_proj = function (r,theta_phi)
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// project spherical coordinate point onto cylinder of radius r
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cyl_proj = function (r,theta_phi)
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[for(pt=theta_phi)
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let(xyz = spherical_to_xyz(1,pt[0], 90-pt[1]))
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r * xyz / norm(point2d(xyz))];
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edge = cyl_proj(or,[[-angle, valley_angle], [0, ridge_angle]]);
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cutfrac = first_defined([chamfer,rounding,0]);
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rounding = rounding==0? undef:rounding;
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ridgecut=xyz_to_spherical(lerp(edge[0],edge[1], 1-cutfrac));
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valleycut=xyz_to_spherical(lerp(edge[0],edge[1], cutfrac/2));
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ridge_chamf = [ridgecut.y,90-ridgecut.z];
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valley_chamf = [valleycut.y,90-valleycut.z];
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basicprof = [
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if (is_def(rounding)) [-angle, valley_chamf.y],
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valley_chamf,
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ridge_chamf
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];
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full = deduplicate(concat(basicprof, reverse(xflip(basicprof))));
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skewed = back(valley_angle, skew(sxy=skew*angle/(ridge_angle-valley_angle),fwd(valley_angle,full)));
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profile = is_undef(rounding) ? skewed
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:
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let(
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segs = max(16,segs(or*rounding)),
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// Using computed values for the joints lead to round-off error issues
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joints = [(skewed[1]-skewed[0]).x, (skewed[3]-skewed[2]).x/2, (skewed[3]-skewed[2]).x/2,(skewed[5]-skewed[4]).x ],
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roundpts = round_corners(skewed, joint=joints, closed=false,$fn=segs)
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)
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roundpts;
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bottom = min([tan(valley_angle)*ir,tan(valley_angle)*or])-base-cone_height*ir;
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safebottom = min([tan(valley_angle)*ir/factor,tan(valley_angle)*or*factor])-base-(crop?1:0)-cone_height*ir;
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ang_ofs = !rot ? -skew*angle
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