Add initial libraries
This commit is contained in:
commit
e7c68ba5a7
|
@ -0,0 +1,181 @@
|
||||||
|
/*
|
||||||
|
* knurledFinishLib_v2.scad
|
||||||
|
*
|
||||||
|
* Written by aubenc @ Thingiverse
|
||||||
|
*
|
||||||
|
* This script is licensed under the Public Domain license.
|
||||||
|
*
|
||||||
|
* http://www.thingiverse.com/thing:31122
|
||||||
|
*
|
||||||
|
* Derived from knurledFinishLib.scad (also Public Domain license) available at
|
||||||
|
*
|
||||||
|
* http://www.thingiverse.com/thing:9095
|
||||||
|
*
|
||||||
|
* Usage:
|
||||||
|
*
|
||||||
|
* Drop this script somewhere where OpenSCAD can find it (your current project's
|
||||||
|
* working directory/folder or your OpenSCAD libraries directory/folder).
|
||||||
|
*
|
||||||
|
* Add the line:
|
||||||
|
*
|
||||||
|
* use <knurledFinishLib_v2.scad>
|
||||||
|
*
|
||||||
|
* in your OpenSCAD script and call either...
|
||||||
|
*
|
||||||
|
* knurled_cyl( Knurled cylinder height,
|
||||||
|
* Knurled cylinder outer diameter,
|
||||||
|
* Knurl polyhedron width,
|
||||||
|
* Knurl polyhedron height,
|
||||||
|
* Knurl polyhedron depth,
|
||||||
|
* Cylinder ends smoothed height,
|
||||||
|
* Knurled surface smoothing amount );
|
||||||
|
*
|
||||||
|
* ...or...
|
||||||
|
*
|
||||||
|
* knurl();
|
||||||
|
*
|
||||||
|
* If you use knurled_cyl() module, you need to specify the values for all and
|
||||||
|
*
|
||||||
|
* Call the module ' help(); ' for a little bit more of detail
|
||||||
|
* and/or take a look to the PDF available at http://www.thingiverse.com/thing:9095
|
||||||
|
* for a in depth descrition of the knurl properties.
|
||||||
|
*/
|
||||||
|
|
||||||
|
|
||||||
|
module knurl( k_cyl_hg = 12,
|
||||||
|
k_cyl_od = 25,
|
||||||
|
knurl_wd = 3,
|
||||||
|
knurl_hg = 4,
|
||||||
|
knurl_dp = 1.5,
|
||||||
|
e_smooth = 2,
|
||||||
|
s_smooth = 0)
|
||||||
|
{
|
||||||
|
knurled_cyl(k_cyl_hg, k_cyl_od,
|
||||||
|
knurl_wd, knurl_hg, knurl_dp,
|
||||||
|
e_smooth, s_smooth);
|
||||||
|
}
|
||||||
|
|
||||||
|
module knurled_cyl(chg, cod, cwd, csh, cdp, fsh, smt)
|
||||||
|
{
|
||||||
|
cord=(cod+cdp+cdp*smt/100)/2;
|
||||||
|
cird=cord-cdp;
|
||||||
|
cfn=round(2*cird*PI/cwd);
|
||||||
|
clf=360/cfn;
|
||||||
|
crn=ceil(chg/csh);
|
||||||
|
|
||||||
|
echo("knurled cylinder max diameter: ", 2*cord);
|
||||||
|
echo("knurled cylinder min diameter: ", 2*cird);
|
||||||
|
|
||||||
|
if( fsh < 0 )
|
||||||
|
{
|
||||||
|
union()
|
||||||
|
{
|
||||||
|
shape(fsh, cird+cdp*smt/100, cord, cfn*4, chg);
|
||||||
|
|
||||||
|
translate([0,0,-(crn*csh-chg)/2])
|
||||||
|
knurled_finish(cord, cird, clf, csh, cfn, crn);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else if ( fsh == 0 )
|
||||||
|
{
|
||||||
|
intersection()
|
||||||
|
{
|
||||||
|
cylinder(h=chg, r=cord-cdp*smt/100, $fn=2*cfn, center=false);
|
||||||
|
|
||||||
|
translate([0,0,-(crn*csh-chg)/2])
|
||||||
|
knurled_finish(cord, cird, clf, csh, cfn, crn);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
intersection()
|
||||||
|
{
|
||||||
|
shape(fsh, cird, cord-cdp*smt/100, cfn*4, chg);
|
||||||
|
|
||||||
|
translate([0,0,-(crn*csh-chg)/2])
|
||||||
|
knurled_finish(cord, cird, clf, csh, cfn, crn);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module shape(hsh, ird, ord, fn4, hg)
|
||||||
|
{
|
||||||
|
x0= 0; x1 = hsh > 0 ? ird : ord; x2 = hsh > 0 ? ord : ird;
|
||||||
|
y0=-0.1; y1=0; y2=abs(hsh); y3=hg-abs(hsh); y4=hg; y5=hg+0.1;
|
||||||
|
|
||||||
|
if ( hsh >= 0 )
|
||||||
|
{
|
||||||
|
rotate_extrude(convexity=10, $fn=fn4)
|
||||||
|
polygon(points=[ [x0,y1],[x1,y1],[x2,y2],[x2,y3],[x1,y4],[x0,y4] ],
|
||||||
|
paths=[ [0,1,2,3,4,5] ]);
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
rotate_extrude(convexity=10, $fn=fn4)
|
||||||
|
polygon(points=[ [x0,y0],[x1,y0],[x1,y1],[x2,y2],
|
||||||
|
[x2,y3],[x1,y4],[x1,y5],[x0,y5] ],
|
||||||
|
paths=[ [0,1,2,3,4,5,6,7] ]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module knurled_finish(ord, ird, lf, sh, fn, rn)
|
||||||
|
{
|
||||||
|
for(j=[0:rn-1])
|
||||||
|
assign(h0=sh*j, h1=sh*(j+1/2), h2=sh*(j+1))
|
||||||
|
{
|
||||||
|
for(i=[0:fn-1])
|
||||||
|
assign(lf0=lf*i, lf1=lf*(i+1/2), lf2=lf*(i+1))
|
||||||
|
{
|
||||||
|
polyhedron(
|
||||||
|
points=[
|
||||||
|
[ 0,0,h0],
|
||||||
|
[ ord*cos(lf0), ord*sin(lf0), h0],
|
||||||
|
[ ird*cos(lf1), ird*sin(lf1), h0],
|
||||||
|
[ ord*cos(lf2), ord*sin(lf2), h0],
|
||||||
|
|
||||||
|
[ ird*cos(lf0), ird*sin(lf0), h1],
|
||||||
|
[ ord*cos(lf1), ord*sin(lf1), h1],
|
||||||
|
[ ird*cos(lf2), ird*sin(lf2), h1],
|
||||||
|
|
||||||
|
[ 0,0,h2],
|
||||||
|
[ ord*cos(lf0), ord*sin(lf0), h2],
|
||||||
|
[ ird*cos(lf1), ird*sin(lf1), h2],
|
||||||
|
[ ord*cos(lf2), ord*sin(lf2), h2]
|
||||||
|
],
|
||||||
|
triangles=[
|
||||||
|
[0,1,2],[2,3,0],
|
||||||
|
[1,0,4],[4,0,7],[7,8,4],
|
||||||
|
[8,7,9],[10,9,7],
|
||||||
|
[10,7,6],[6,7,0],[3,6,0],
|
||||||
|
[2,1,4],[3,2,6],[10,6,9],[8,9,4],
|
||||||
|
[4,5,2],[2,5,6],[6,5,9],[9,5,4]
|
||||||
|
],
|
||||||
|
convexity=5);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module knurl_help()
|
||||||
|
{
|
||||||
|
echo();
|
||||||
|
echo(" Knurled Surface Library v2 ");
|
||||||
|
echo("");
|
||||||
|
echo(" Modules: ");
|
||||||
|
echo("");
|
||||||
|
echo(" knurled_cyl(parameters... ); - Requires a value for each an every expected parameter (see bellow) ");
|
||||||
|
echo("");
|
||||||
|
echo(" knurl(); - Call to the previous module with a set of default parameters, ");
|
||||||
|
echo(" values may be changed by adding 'parameter_name=value' i.e. knurl(s_smooth=40); ");
|
||||||
|
echo("");
|
||||||
|
echo(" Parameters, all of them in mm but the last one. ");
|
||||||
|
echo("");
|
||||||
|
echo(" k_cyl_hg - [ 12 ] ,, Height for the knurled cylinder ");
|
||||||
|
echo(" k_cyl_od - [ 25 ] ,, Cylinder's Outer Diameter before applying the knurled surfacefinishing. ");
|
||||||
|
echo(" knurl_wd - [ 3 ] ,, Knurl's Width. ");
|
||||||
|
echo(" knurl_hg - [ 4 ] ,, Knurl's Height. ");
|
||||||
|
echo(" knurl_dp - [ 1.5 ] ,, Knurl's Depth. ");
|
||||||
|
echo(" e_smooth - [ 2 ] ,, Bevel's Height at the bottom and the top of the cylinder ");
|
||||||
|
echo(" s_smooth - [ 0 ] ,, Knurl's Surface Smoothing : File donwn the top of the knurl this value, i.e. 40 will snooth it a 40%. ");
|
||||||
|
echo("");
|
||||||
|
}
|
||||||
|
|
|
@ -0,0 +1,195 @@
|
||||||
|
// path_extrude.scad -- Extrude a path in 3D space
|
||||||
|
// usage: add "use <path_extrude.scad>;" to the top of your OpenSCAD source code
|
||||||
|
|
||||||
|
// Copyright (C) 2014-2019 David Eccles (gringer) <bioinformatics@gringene.org>
|
||||||
|
|
||||||
|
// This program is free software: you can redistribute it and/or modify
|
||||||
|
// it under the terms of the GNU General Public License as published by
|
||||||
|
// the Free Software Foundation, either version 3 of the License, or
|
||||||
|
// (at your option) any later version.
|
||||||
|
|
||||||
|
// This program is distributed in the hope that it will be useful,
|
||||||
|
// but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
// GNU General Public License for more details.
|
||||||
|
|
||||||
|
// You should have received a copy of the GNU General Public License
|
||||||
|
// along with this program. If not, see <https://www.gnu.org/licenses/>.
|
||||||
|
|
||||||
|
// Determine the projection of a point on a plane centered at c1 with normal n1
|
||||||
|
function project(p, c, n) =
|
||||||
|
p - (n * (p - c)) * n / (n * n);
|
||||||
|
|
||||||
|
// determine angle between two points with a given normal orientation
|
||||||
|
// see https://stackoverflow.com/questions/14066933/
|
||||||
|
// direct-way-of-computing-clockwise-angle-between-2-vectors
|
||||||
|
// dot = p1 * p2;
|
||||||
|
// det = (p1[0]*p2[1]*n1[2] + p2[0]*n1[1]*p1[2] + n1[0]*p1[1]*p2[2]) -
|
||||||
|
// (n1[0]*p2[1]*p1[2] + p1[0]*n1[1]*p2[2] + p2[0]*p1[1]*n1[2]);
|
||||||
|
// atan2(det, dot);
|
||||||
|
// determine angle between two planar points and a centre
|
||||||
|
// with a given normal orientation
|
||||||
|
function getPlanarAngle(p1, p2, c1, n1) =
|
||||||
|
let(p1 = p1-c1, n1=n1 / norm(n1), p2=p2-c1)
|
||||||
|
atan2((p1[0]*p2[1]*n1[2] + p2[0]*n1[1]*p1[2] + n1[0]*p1[1]*p2[2]) -
|
||||||
|
(n1[0]*p2[1]*p1[2] + p1[0]*n1[1]*p2[2] + p2[0]*p1[1]*n1[2]), p1 * p2);
|
||||||
|
|
||||||
|
function c3D(tPoints) =
|
||||||
|
(len(tPoints[0]) == undef) ? // single point
|
||||||
|
c3D([tPoints])[0] :
|
||||||
|
(len(tPoints[0]) < 3) ? // collection of 2D points
|
||||||
|
tPoints * [[1,0,0],[0,1,0]] :
|
||||||
|
tPoints; // 3D points
|
||||||
|
|
||||||
|
// translate a point (or points)
|
||||||
|
function myTranslate(ofs, points, acc = []) =
|
||||||
|
(len(points[0]) == undef) ?
|
||||||
|
myTranslate(ofs, [points])[0] :
|
||||||
|
[ for(i = [0:(len(points) - 1)])
|
||||||
|
[ for(d = [0:(len(points[0])-1)]) (ofs[d] + points[i][d])]];
|
||||||
|
|
||||||
|
// rotate a point (or points)
|
||||||
|
function myRotate(rotVec, points) =
|
||||||
|
let(rotX = [[1, 0, 0],
|
||||||
|
[0, cos(rotVec[0]), -sin(rotVec[0])],
|
||||||
|
[0, sin(rotVec[0]), cos(rotVec[0])]],
|
||||||
|
rotY = [[ cos(rotVec[1]), 0,-sin(rotVec[1])],
|
||||||
|
[ 0, 1, 0],
|
||||||
|
[ sin(rotVec[1]), 0, cos(rotVec[1])]],
|
||||||
|
rotZ = [[ cos(rotVec[2]), sin(rotVec[2]), 0],
|
||||||
|
[ sin(rotVec[2]), -cos(rotVec[2]), 0],
|
||||||
|
[0, 0, 1]])
|
||||||
|
(len(points[0]) == undef) ?
|
||||||
|
myRotate(rotVec, [points])[0] :
|
||||||
|
c3D(points) * rotX * rotY * rotZ;
|
||||||
|
|
||||||
|
// Determine spherical rotation for cartesian coordinates
|
||||||
|
function rToS(pt) =
|
||||||
|
[-acos((pt[2]) / norm(pt)),
|
||||||
|
0,
|
||||||
|
-atan2(pt[0],pt[1])];
|
||||||
|
|
||||||
|
function calcPreRot(p1, p2, p3) =
|
||||||
|
let(n1=p2-p1, // normal between the two points (i.e. the plane that the polygon sits on)
|
||||||
|
n2=p3-p2,
|
||||||
|
rt1=rToS(n1),
|
||||||
|
rt2=rToS(n2),
|
||||||
|
pj1=(p2 + myRotate(rt2, [[1e42,0,0]])[0]),
|
||||||
|
pj2=project(p=(p1 + myRotate(rt1, [[1e42,0,0]])[0]), c=p2, n=n2))
|
||||||
|
getPlanarAngle(p1=pj1, p2=pj2, c1=p2, n1=n2);
|
||||||
|
|
||||||
|
function cumSum(x, res=[]) =
|
||||||
|
(len(x) == len(res)) ? concat([0], res) :
|
||||||
|
(len(res) == 0) ? cumSum(x=x, res=[x[0]]) :
|
||||||
|
cumSum(x=x, res=concat(res, [x[len(res)] + res[len(res)-1]]));
|
||||||
|
|
||||||
|
// Create extrusion side panels for one polygon segment as triangles.
|
||||||
|
// Note: panels are not necessarily be planar due to path twists
|
||||||
|
function makeSides(shs, pts, ofs=0) =
|
||||||
|
concat(
|
||||||
|
[for(i=[0:(shs-1)]) [i+ofs, ((i+1) % shs + ofs + shs) % (shs * pts),
|
||||||
|
(i+1) % shs + ofs]],
|
||||||
|
[for(i=[0:(shs-1)]) [((i+1) % shs + ofs + shs) % (shs * pts),
|
||||||
|
i+ofs, (i + ofs + shs) % (shs * pts)]]);
|
||||||
|
|
||||||
|
// Concatenate the contents of the outermost list
|
||||||
|
function flatten(A, acc = [], aDone = 0) =
|
||||||
|
(aDone >= len(A)) ? acc :
|
||||||
|
flatten(A, acc=concat(acc, A[aDone]), aDone = aDone + 1);
|
||||||
|
|
||||||
|
// Linearly interpolate between two shapes
|
||||||
|
function makeTween(shape1, shape2, t) =
|
||||||
|
(t == 0) ? shape1 :
|
||||||
|
(t == 1) ? shape2 :
|
||||||
|
[for (i=[0:(len(shape1)-1)])
|
||||||
|
(shape1[i]*(1-t) + shape2[i % len(shape2)]*(t))];
|
||||||
|
|
||||||
|
// Extrude a 2D shape through a 3D path
|
||||||
|
// Note: merge has two effects:
|
||||||
|
// 1) Removes end caps
|
||||||
|
// 2) Adjusts the rotation of each path point
|
||||||
|
// so that the end and start match up
|
||||||
|
module path_extrude(exPath, exShape, exShape2=[],
|
||||||
|
exRots = [0], exScale = [1], merge=false, preRotate=true){
|
||||||
|
exShapeTween = (len(exShape2) == 0) ?
|
||||||
|
exShape : exShape2;
|
||||||
|
shs = len(exShape); // shs: shape size
|
||||||
|
pts = len(exPath); // pts: path size
|
||||||
|
exPathX = (merge) ? concat(exPath, [exPath[0], exPath[1]]) :
|
||||||
|
concat(exPath,
|
||||||
|
[exPath[pts-1] + (exPath[pts-1] - exPath[pts-2]),
|
||||||
|
exPath[pts-1] + 2*(exPath[pts-1] - exPath[pts-2])]);
|
||||||
|
exScaleX = (len(exScale) == len(exPath)) ? exScale :
|
||||||
|
[for (i = [0:(pts-1)]) exScale[i % len(exScale)]];
|
||||||
|
preRots = [for(i = [0:(pts-1)])
|
||||||
|
preRotate ?
|
||||||
|
calcPreRot(p1=exPathX[i], // "current" point on the path
|
||||||
|
p2=exPathX[(i+1)], // "next" point on the path
|
||||||
|
p3=exPathX[(i+2)]) :
|
||||||
|
0 ];
|
||||||
|
cumPreRots = cumSum(preRots);
|
||||||
|
seDiff = cumPreRots[len(cumPreRots)-1]; // rotation difference (start - end)
|
||||||
|
// rotation adjustment to get start to look like end
|
||||||
|
seAdj = -seDiff / (len(cumPreRots));
|
||||||
|
adjPreRots = (!merge) ? cumPreRots :
|
||||||
|
[for(i = [0:(pts-1)]) (cumPreRots[i] + seAdj * i)];
|
||||||
|
adjExRots = (len(exRots) == 1) ?
|
||||||
|
[for(i = [0:(len(adjPreRots)-1)]) (adjPreRots[i] + exRots[0])] :
|
||||||
|
[for(i = [0:(len(adjPreRots)-1)]) (adjPreRots[i] + exRots[i % len(exRots)])];
|
||||||
|
phPoints = flatten([
|
||||||
|
for(i = [0:(pts-1)])
|
||||||
|
let(p1=exPathX[i],
|
||||||
|
p2=exPathX[(i+1)],
|
||||||
|
n1=p2-p1, // normal between the two points
|
||||||
|
rt1=rToS(n1))
|
||||||
|
myTranslate(p1, myRotate(rt1, myRotate([0,0,-adjExRots[i]],
|
||||||
|
c3D(makeTween(exShape, exShapeTween, i / (pts-1)) *
|
||||||
|
exScaleX[i]))))
|
||||||
|
]);
|
||||||
|
if(merge){ // just the surface, no end caps
|
||||||
|
polyhedron(points=phPoints,
|
||||||
|
faces=flatten([
|
||||||
|
for(i = [0:(pts-1)])
|
||||||
|
makeSides(shs, pts, ofs=shs*i)
|
||||||
|
])
|
||||||
|
);
|
||||||
|
} else {
|
||||||
|
polyhedron(points=phPoints,
|
||||||
|
faces=concat(
|
||||||
|
flatten([
|
||||||
|
for(i = [0:(pts-2)])
|
||||||
|
makeSides(shs, pts, ofs=shs*i)
|
||||||
|
]),
|
||||||
|
concat( // add in start / end covers
|
||||||
|
[[for(i= [0:(shs-1)]) i]],
|
||||||
|
[[for(i= [(len(phPoints)-1):-1:(len(phPoints)-shs)]) i]]
|
||||||
|
)
|
||||||
|
));
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
myPathTrefoil = [ for(t = [0:(360 / 101):359]) [ // trefoil knot
|
||||||
|
5*(.41*cos(t) - .18*sin(t) - .83*cos(2*t) - .83*sin(2*t) -
|
||||||
|
.11*cos(3*t) + .27*sin(3*t)),
|
||||||
|
5*(.36*cos(t) + .27*sin(t) - 1.13*cos(2*t) + .30*sin(2*t) +
|
||||||
|
.11*cos(3*t) - .27*sin(3*t)),
|
||||||
|
5*(.45*sin(t) - .30*cos(2*t) +1.13*sin(2*t) -
|
||||||
|
.11*cos(3*t) + .27*sin(3*t))] ];
|
||||||
|
|
||||||
|
myPointsOctagon =
|
||||||
|
let(ofs1=15)
|
||||||
|
[ for(t = [0:(360/8):359])
|
||||||
|
((t==90)?1:2) * [cos(t+ofs1),sin(t+ofs1)]];
|
||||||
|
myPointsChunkOctagon =
|
||||||
|
let(ofs1=15)
|
||||||
|
[ for(t = [0:(360/8):359])
|
||||||
|
((t==90)?0.4:1.9) *
|
||||||
|
[cos((t * 135/360 + 45)+ofs1+45)+0.5,sin((t * 135/360 + 45)+ofs1+45)]];
|
||||||
|
//myPoints = [ for(t = [0:(360/8):359]) 2 * [cos(t+45),sin(t+45)]];
|
||||||
|
|
||||||
|
pts=[2,0,0.5];
|
||||||
|
|
||||||
|
/*translate([0,0,0]) {
|
||||||
|
path_extrude(exRots = [$t*360], exShape=myPointsOctagon,
|
||||||
|
exPath=myPathTrefoil, merge=true);
|
||||||
|
}*/
|
|
@ -0,0 +1,372 @@
|
||||||
|
/*
|
||||||
|
* ISO-standard metric threads, following this specification:
|
||||||
|
* http://en.wikipedia.org/wiki/ISO_metric_screw_thread
|
||||||
|
*
|
||||||
|
* Copyright 2017 Dan Kirshner - dan_kirshner@yahoo.com
|
||||||
|
* This program is free software: you can redistribute it and/or modify
|
||||||
|
* it under the terms of the GNU General Public License as published by
|
||||||
|
* the Free Software Foundation, either version 3 of the License, or
|
||||||
|
* (at your option) any later version.
|
||||||
|
*
|
||||||
|
* This program is distributed in the hope that it will be useful,
|
||||||
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
* GNU General Public License for more details.
|
||||||
|
*
|
||||||
|
* See <http://www.gnu.org/licenses/>.
|
||||||
|
*
|
||||||
|
* Version 2.3. 2017-08-31 Default for leadin: 0 (best for internal threads).
|
||||||
|
* Version 2.2. 2017-01-01 Correction for angle; leadfac option. (Thanks to
|
||||||
|
* Andrew Allen <a2intl@gmail.com>.)
|
||||||
|
* Version 2.1. 2016-12-04 Chamfer bottom end (low-z); leadin option.
|
||||||
|
* Version 2.0. 2016-11-05 Backwards compatibility (earlier OpenSCAD) fixes.
|
||||||
|
* Version 1.9. 2016-07-03 Option: tapered.
|
||||||
|
* Version 1.8. 2016-01-08 Option: (non-standard) angle.
|
||||||
|
* Version 1.7. 2015-11-28 Larger x-increment - for small-diameters.
|
||||||
|
* Version 1.6. 2015-09-01 Options: square threads, rectangular threads.
|
||||||
|
* Version 1.5. 2015-06-12 Options: thread_size, groove.
|
||||||
|
* Version 1.4. 2014-10-17 Use "faces" instead of "triangles" for polyhedron
|
||||||
|
* Version 1.3. 2013-12-01 Correct loop over turns -- don't have early cut-off
|
||||||
|
* Version 1.2. 2012-09-09 Use discrete polyhedra rather than linear_extrude ()
|
||||||
|
* Version 1.1. 2012-09-07 Corrected to right-hand threads!
|
||||||
|
*/
|
||||||
|
|
||||||
|
// Examples.
|
||||||
|
//
|
||||||
|
// Standard M8 x 1.
|
||||||
|
// metric_thread (diameter=8, pitch=1, length=4);
|
||||||
|
|
||||||
|
// Square thread.
|
||||||
|
// metric_thread (diameter=8, pitch=1, length=4, square=true);
|
||||||
|
|
||||||
|
// Non-standard: long pitch, same thread size.
|
||||||
|
//metric_thread (diameter=8, pitch=4, length=4, thread_size=1, groove=true);
|
||||||
|
|
||||||
|
// Non-standard: 20 mm diameter, long pitch, square "trough" width 3 mm,
|
||||||
|
// depth 1 mm.
|
||||||
|
//metric_thread (diameter=20, pitch=8, length=16, square=true, thread_size=6,
|
||||||
|
// groove=true, rectangle=0.333);
|
||||||
|
|
||||||
|
// English: 1/4 x 20.
|
||||||
|
//english_thread (diameter=1/4, threads_per_inch=20, length=1);
|
||||||
|
|
||||||
|
// Tapered. Example -- pipe size 3/4" -- per:
|
||||||
|
// http://www.engineeringtoolbox.com/npt-national-pipe-taper-threads-d_750.html
|
||||||
|
// english_thread (diameter=1.05, threads_per_inch=14, length=3/4, taper=1/16);
|
||||||
|
|
||||||
|
// Thread for mounting on Rohloff hub.
|
||||||
|
//difference () {
|
||||||
|
// cylinder (r=20, h=10, $fn=100);
|
||||||
|
//
|
||||||
|
// metric_thread (diameter=34, pitch=1, length=10, internal=true, n_starts=6);
|
||||||
|
//}
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
function segments (diameter) = min (50, ceil (diameter*6));
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
// diameter - outside diameter of threads in mm. Default: 8.
|
||||||
|
// pitch - thread axial "travel" per turn in mm. Default: 1.
|
||||||
|
// length - overall axial length of thread in mm. Default: 1.
|
||||||
|
// internal - true = clearances for internal thread (e.g., a nut).
|
||||||
|
// false = clearances for external thread (e.g., a bolt).
|
||||||
|
// (Internal threads should be "cut out" from a solid using
|
||||||
|
// difference ()).
|
||||||
|
// n_starts - Number of thread starts (e.g., DNA, a "double helix," has
|
||||||
|
// n_starts=2). See wikipedia Screw_thread.
|
||||||
|
// thread_size - (non-standard) axial width of a single thread "V" - independent
|
||||||
|
// of pitch. Default: same as pitch.
|
||||||
|
// groove - (non-standard) subtract inverted "V" from cylinder (rather than
|
||||||
|
// add protruding "V" to cylinder).
|
||||||
|
// square - Square threads (per
|
||||||
|
// https://en.wikipedia.org/wiki/Square_thread_form).
|
||||||
|
// rectangle - (non-standard) "Rectangular" thread - ratio depth/(axial) width
|
||||||
|
// Default: 1 (square).
|
||||||
|
// angle - (non-standard) angle (deg) of thread side from perpendicular to
|
||||||
|
// axis (default = standard = 30 degrees).
|
||||||
|
// taper - diameter change per length (National Pipe Thread/ANSI B1.20.1
|
||||||
|
// is 1" diameter per 16" length). Taper decreases from 'diameter'
|
||||||
|
// as z increases.
|
||||||
|
// leadin - 0 (default): no chamfer; 1: chamfer (45 degree) at max-z end;
|
||||||
|
// 2: chamfer at both ends, 3: chamfer at z=0 end.
|
||||||
|
// leadfac - scale of leadin chamfer (default: 1.0 = 1/2 thread).
|
||||||
|
module metric_thread (diameter=8, pitch=1, length=1, internal=false, n_starts=1,
|
||||||
|
thread_size=-1, groove=false, square=false, rectangle=0,
|
||||||
|
angle=30, taper=0, leadin=0, leadfac=1.0)
|
||||||
|
{
|
||||||
|
// thread_size: size of thread "V" different than travel per turn (pitch).
|
||||||
|
// Default: same as pitch.
|
||||||
|
local_thread_size = thread_size == -1 ? pitch : thread_size;
|
||||||
|
local_rectangle = rectangle ? rectangle : 1;
|
||||||
|
|
||||||
|
n_segments = segments (diameter);
|
||||||
|
h = (square || rectangle) ? local_thread_size*local_rectangle/2 : local_thread_size / (2 * tan(angle));
|
||||||
|
|
||||||
|
h_fac1 = (square || rectangle) ? 0.90 : 0.625;
|
||||||
|
|
||||||
|
// External thread includes additional relief.
|
||||||
|
h_fac2 = (square || rectangle) ? 0.95 : 5.3/8;
|
||||||
|
|
||||||
|
tapered_diameter = diameter - length*taper;
|
||||||
|
|
||||||
|
difference () {
|
||||||
|
union () {
|
||||||
|
if (! groove) {
|
||||||
|
metric_thread_turns (diameter, pitch, length, internal, n_starts,
|
||||||
|
local_thread_size, groove, square, rectangle, angle,
|
||||||
|
taper);
|
||||||
|
}
|
||||||
|
|
||||||
|
difference () {
|
||||||
|
|
||||||
|
// Solid center, including Dmin truncation.
|
||||||
|
if (groove) {
|
||||||
|
cylinder (r1=diameter/2, r2=tapered_diameter/2,
|
||||||
|
h=length, $fn=n_segments);
|
||||||
|
} else if (internal) {
|
||||||
|
cylinder (r1=diameter/2 - h*h_fac1, r2=tapered_diameter/2 - h*h_fac1,
|
||||||
|
h=length, $fn=n_segments);
|
||||||
|
} else {
|
||||||
|
|
||||||
|
// External thread.
|
||||||
|
cylinder (r1=diameter/2 - h*h_fac2, r2=tapered_diameter/2 - h*h_fac2,
|
||||||
|
h=length, $fn=n_segments);
|
||||||
|
}
|
||||||
|
|
||||||
|
if (groove) {
|
||||||
|
metric_thread_turns (diameter, pitch, length, internal, n_starts,
|
||||||
|
local_thread_size, groove, square, rectangle,
|
||||||
|
angle, taper);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// chamfer z=0 end if leadin is 2 or 3
|
||||||
|
if (leadin == 2 || leadin == 3) {
|
||||||
|
difference () {
|
||||||
|
cylinder (r=diameter/2 + 1, h=h*h_fac1*leadfac, $fn=n_segments);
|
||||||
|
|
||||||
|
cylinder (r2=diameter/2, r1=diameter/2 - h*h_fac1*leadfac, h=h*h_fac1*leadfac,
|
||||||
|
$fn=n_segments);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// chamfer z-max end if leadin is 1 or 2.
|
||||||
|
if (leadin == 1 || leadin == 2) {
|
||||||
|
translate ([0, 0, length + 0.05 - h*h_fac1*leadfac]) {
|
||||||
|
difference () {
|
||||||
|
cylinder (r=diameter/2 + 1, h=h*h_fac1*leadfac, $fn=n_segments);
|
||||||
|
cylinder (r1=tapered_diameter/2, r2=tapered_diameter/2 - h*h_fac1*leadfac, h=h*h_fac1*leadfac,
|
||||||
|
$fn=n_segments);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
// Input units in inches.
|
||||||
|
// Note: units of measure in drawing are mm!
|
||||||
|
module english_thread (diameter=0.25, threads_per_inch=20, length=1,
|
||||||
|
internal=false, n_starts=1, thread_size=-1, groove=false,
|
||||||
|
square=false, rectangle=0, angle=30, taper=0, leadin=0,
|
||||||
|
leadfac=1.0)
|
||||||
|
{
|
||||||
|
// Convert to mm.
|
||||||
|
mm_diameter = diameter*25.4;
|
||||||
|
mm_pitch = (1.0/threads_per_inch)*25.4;
|
||||||
|
mm_length = length*25.4;
|
||||||
|
|
||||||
|
echo (str ("mm_diameter: ", mm_diameter));
|
||||||
|
echo (str ("mm_pitch: ", mm_pitch));
|
||||||
|
echo (str ("mm_length: ", mm_length));
|
||||||
|
metric_thread (mm_diameter, mm_pitch, mm_length, internal, n_starts,
|
||||||
|
thread_size, groove, square, rectangle, angle, taper, leadin,
|
||||||
|
leadfac);
|
||||||
|
}
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
module metric_thread_turns (diameter, pitch, length, internal, n_starts,
|
||||||
|
thread_size, groove, square, rectangle, angle,
|
||||||
|
taper)
|
||||||
|
{
|
||||||
|
// Number of turns needed.
|
||||||
|
n_turns = floor (length/pitch);
|
||||||
|
|
||||||
|
intersection () {
|
||||||
|
|
||||||
|
// Start one below z = 0. Gives an extra turn at each end.
|
||||||
|
for (i=[-1*n_starts : n_turns+1]) {
|
||||||
|
translate ([0, 0, i*pitch]) {
|
||||||
|
metric_thread_turn (diameter, pitch, internal, n_starts,
|
||||||
|
thread_size, groove, square, rectangle, angle,
|
||||||
|
taper, i*pitch);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cut to length.
|
||||||
|
translate ([0, 0, length/2]) {
|
||||||
|
cube ([diameter*3, diameter*3, length], center=true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
module metric_thread_turn (diameter, pitch, internal, n_starts, thread_size,
|
||||||
|
groove, square, rectangle, angle, taper, z)
|
||||||
|
{
|
||||||
|
n_segments = segments (diameter);
|
||||||
|
fraction_circle = 1.0/n_segments;
|
||||||
|
for (i=[0 : n_segments-1]) {
|
||||||
|
rotate ([0, 0, i*360*fraction_circle]) {
|
||||||
|
translate ([0, 0, i*n_starts*pitch*fraction_circle]) {
|
||||||
|
//current_diameter = diameter - taper*(z + i*n_starts*pitch*fraction_circle);
|
||||||
|
thread_polyhedron ((diameter - taper*(z + i*n_starts*pitch*fraction_circle))/2,
|
||||||
|
pitch, internal, n_starts, thread_size, groove,
|
||||||
|
square, rectangle, angle);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
module thread_polyhedron (radius, pitch, internal, n_starts, thread_size,
|
||||||
|
groove, square, rectangle, angle)
|
||||||
|
{
|
||||||
|
n_segments = segments (radius*2);
|
||||||
|
fraction_circle = 1.0/n_segments;
|
||||||
|
|
||||||
|
local_rectangle = rectangle ? rectangle : 1;
|
||||||
|
|
||||||
|
h = (square || rectangle) ? thread_size*local_rectangle/2 : thread_size / (2 * tan(angle));
|
||||||
|
outer_r = radius + (internal ? h/20 : 0); // Adds internal relief.
|
||||||
|
//echo (str ("outer_r: ", outer_r));
|
||||||
|
|
||||||
|
// A little extra on square thread -- make sure overlaps cylinder.
|
||||||
|
h_fac1 = (square || rectangle) ? 1.1 : 0.875;
|
||||||
|
inner_r = radius - h*h_fac1; // Does NOT do Dmin_truncation - do later with
|
||||||
|
// cylinder.
|
||||||
|
|
||||||
|
translate_y = groove ? outer_r + inner_r : 0;
|
||||||
|
reflect_x = groove ? 1 : 0;
|
||||||
|
|
||||||
|
// Make these just slightly bigger (keep in proportion) so polyhedra will
|
||||||
|
// overlap.
|
||||||
|
x_incr_outer = (! groove ? outer_r : inner_r) * fraction_circle * 2 * PI * 1.02;
|
||||||
|
x_incr_inner = (! groove ? inner_r : outer_r) * fraction_circle * 2 * PI * 1.02;
|
||||||
|
z_incr = n_starts * pitch * fraction_circle * 1.005;
|
||||||
|
|
||||||
|
/*
|
||||||
|
(angles x0 and x3 inner are actually 60 deg)
|
||||||
|
|
||||||
|
/\ (x2_inner, z2_inner) [2]
|
||||||
|
/ \
|
||||||
|
(x3_inner, z3_inner) / \
|
||||||
|
[3] \ \
|
||||||
|
|\ \ (x2_outer, z2_outer) [6]
|
||||||
|
| \ /
|
||||||
|
| \ /|
|
||||||
|
z |[7]\/ / (x1_outer, z1_outer) [5]
|
||||||
|
| | | /
|
||||||
|
| x | |/
|
||||||
|
| / | / (x0_outer, z0_outer) [4]
|
||||||
|
| / | / (behind: (x1_inner, z1_inner) [1]
|
||||||
|
|/ | /
|
||||||
|
y________| |/
|
||||||
|
(r) / (x0_inner, z0_inner) [0]
|
||||||
|
|
||||||
|
*/
|
||||||
|
|
||||||
|
x1_outer = outer_r * fraction_circle * 2 * PI;
|
||||||
|
|
||||||
|
z0_outer = (outer_r - inner_r) * tan(angle);
|
||||||
|
//echo (str ("z0_outer: ", z0_outer));
|
||||||
|
|
||||||
|
//polygon ([[inner_r, 0], [outer_r, z0_outer],
|
||||||
|
// [outer_r, 0.5*pitch], [inner_r, 0.5*pitch]]);
|
||||||
|
z1_outer = z0_outer + z_incr;
|
||||||
|
|
||||||
|
// Give internal square threads some clearance in the z direction, too.
|
||||||
|
bottom = internal ? 0.235 : 0.25;
|
||||||
|
top = internal ? 0.765 : 0.75;
|
||||||
|
|
||||||
|
translate ([0, translate_y, 0]) {
|
||||||
|
mirror ([reflect_x, 0, 0]) {
|
||||||
|
|
||||||
|
if (square || rectangle) {
|
||||||
|
|
||||||
|
// Rule for face ordering: look at polyhedron from outside: points must
|
||||||
|
// be in clockwise order.
|
||||||
|
polyhedron (
|
||||||
|
points = [
|
||||||
|
[-x_incr_inner/2, -inner_r, bottom*thread_size], // [0]
|
||||||
|
[x_incr_inner/2, -inner_r, bottom*thread_size + z_incr], // [1]
|
||||||
|
[x_incr_inner/2, -inner_r, top*thread_size + z_incr], // [2]
|
||||||
|
[-x_incr_inner/2, -inner_r, top*thread_size], // [3]
|
||||||
|
|
||||||
|
[-x_incr_outer/2, -outer_r, bottom*thread_size], // [4]
|
||||||
|
[x_incr_outer/2, -outer_r, bottom*thread_size + z_incr], // [5]
|
||||||
|
[x_incr_outer/2, -outer_r, top*thread_size + z_incr], // [6]
|
||||||
|
[-x_incr_outer/2, -outer_r, top*thread_size] // [7]
|
||||||
|
],
|
||||||
|
|
||||||
|
faces = [
|
||||||
|
[0, 3, 7, 4], // This-side trapezoid
|
||||||
|
|
||||||
|
[1, 5, 6, 2], // Back-side trapezoid
|
||||||
|
|
||||||
|
[0, 1, 2, 3], // Inner rectangle
|
||||||
|
|
||||||
|
[4, 7, 6, 5], // Outer rectangle
|
||||||
|
|
||||||
|
// These are not planar, so do with separate triangles.
|
||||||
|
[7, 2, 6], // Upper rectangle, bottom
|
||||||
|
[7, 3, 2], // Upper rectangle, top
|
||||||
|
|
||||||
|
[0, 5, 1], // Lower rectangle, bottom
|
||||||
|
[0, 4, 5] // Lower rectangle, top
|
||||||
|
]
|
||||||
|
);
|
||||||
|
} else {
|
||||||
|
|
||||||
|
// Rule for face ordering: look at polyhedron from outside: points must
|
||||||
|
// be in clockwise order.
|
||||||
|
polyhedron (
|
||||||
|
points = [
|
||||||
|
[-x_incr_inner/2, -inner_r, 0], // [0]
|
||||||
|
[x_incr_inner/2, -inner_r, z_incr], // [1]
|
||||||
|
[x_incr_inner/2, -inner_r, thread_size + z_incr], // [2]
|
||||||
|
[-x_incr_inner/2, -inner_r, thread_size], // [3]
|
||||||
|
|
||||||
|
[-x_incr_outer/2, -outer_r, z0_outer], // [4]
|
||||||
|
[x_incr_outer/2, -outer_r, z0_outer + z_incr], // [5]
|
||||||
|
[x_incr_outer/2, -outer_r, thread_size - z0_outer + z_incr], // [6]
|
||||||
|
[-x_incr_outer/2, -outer_r, thread_size - z0_outer] // [7]
|
||||||
|
],
|
||||||
|
|
||||||
|
faces = [
|
||||||
|
[0, 3, 7, 4], // This-side trapezoid
|
||||||
|
|
||||||
|
[1, 5, 6, 2], // Back-side trapezoid
|
||||||
|
|
||||||
|
[0, 1, 2, 3], // Inner rectangle
|
||||||
|
|
||||||
|
[4, 7, 6, 5], // Outer rectangle
|
||||||
|
|
||||||
|
// These are not planar, so do with separate triangles.
|
||||||
|
[7, 2, 6], // Upper rectangle, bottom
|
||||||
|
[7, 3, 2], // Upper rectangle, top
|
||||||
|
|
||||||
|
[0, 5, 1], // Lower rectangle, bottom
|
||||||
|
[0, 4, 5] // Lower rectangle, top
|
||||||
|
]
|
||||||
|
);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
|
@ -0,0 +1,31 @@
|
||||||
|
/*
|
||||||
|
// Height of trapazoid
|
||||||
|
height = 19;
|
||||||
|
|
||||||
|
// Width of top cube
|
||||||
|
top_x = 30;
|
||||||
|
// Length of top cube
|
||||||
|
top_y = 34;
|
||||||
|
|
||||||
|
// Width of bottom cube
|
||||||
|
bottom_x = 45;
|
||||||
|
// Length of bottom cube
|
||||||
|
bottom_y = 65;
|
||||||
|
|
||||||
|
wall_thickness = 2;
|
||||||
|
*/
|
||||||
|
module trap_cube(height = 19, top_x = 30, top_y = 34, bottom_x = 45, bottom_y = 65, wall_thickness = 2) {
|
||||||
|
difference(){
|
||||||
|
hull(){
|
||||||
|
translate([0,0,height])
|
||||||
|
cube([top_x, top_y, 0.1], center=true);
|
||||||
|
cube([bottom_x, bottom_y, 0.1], center=true);
|
||||||
|
}
|
||||||
|
|
||||||
|
hull(){
|
||||||
|
translate([0,0,height])
|
||||||
|
cube([top_x - wall_thickness, top_y - wall_thickness, 0.1], center=true);
|
||||||
|
cube([bottom_x - wall_thickness, bottom_y - wall_thickness, 0.1], center=true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
Loading…
Reference in New Issue