public static Curve RatchetCover(Circle C, double D, double pRad)
{
ArcCurve co = new ArcCurve(new Circle(C.Plane, C.Radius - (D + pRad)));
ArcCurve ci = new ArcCurve(new Circle(C.Plane, C.Radius - ((D + pRad) * 2)));
co.Domain = ci.Domain = new Interval(0, 1);
List <double> ts = new List <double>();
for (double i = 0; i < 8; i++)
{
ts.Add(i / 8);
}
Curve[] shatterCo = co.Split(ts);
Curve[] shatterCi = ci.Split(ts);
List <Curve> shatter = new List <Curve>();
for (int i = 0; i < 8; i += 2)
{
shatter.Add(shatterCo[i]);
shatter.Add(shatterCi[i + 1]);
shatter.Add(new LineCurve(shatterCo[i].PointAtEnd, shatterCi[i + 1].PointAtStart));
Vector3d v = shatterCi[i + 1].PointAtEnd - C.Center; v.Unitize();
shatter.Add(new LineCurve(shatterCi[i + 1].PointAtEnd, shatterCi[i + 1].PointAtEnd + (v * (D + pRad))));
}
Curve covers = Curve.JoinCurves(shatter)[0];
Curve cover = Curve.CreateFilletCornersCurve(covers, (D + pRad) * 0.48, 0.001, 0.001);
return(cover);
}
public static Curve RatchetPawl(Circle C, int T, double D, int pawlCount, double pRad, double Spring, out Curve SpringPawl)
{
List <Curve> rachets = new List <Curve>();
List <Curve> paws = new List <Curve>();
List <double> split = new List <double>();
for (int i = 0; i < T; i++)
{
double ta = (Math.PI * 2 / T) * i;
double tb = (Math.PI * 2 / T) * ((i + 1) % T);
//teeth build
Point3d start = new Circle(C.Plane, C.Radius - D).PointAt(ta); //fillet corner point
Vector3d va = C.PointAt(ta) - start; va.Unitize();
Vector3d vb = C.PointAt(tb) - start; vb.Unitize();
Curve lineA = new LineCurve(C.PointAt(ta), start);
Curve lineB = new LineCurve(C.PointAt(tb), start);
Curve teeth = Curve.CreateFilletCurves(lineA, start + (va * 0.1), lineB, start + (vb * 0.1), 0.2, true, true, true, 0.01, 0.01)[0];
rachets.Add(teeth);
//pawl build
double t_paw = (double)T / (double)pawlCount;
if (i == 0 || i + 1 > paws.Count * t_paw)
{
ArcCurve innC = new ArcCurve(new Circle(C.Plane, C.Radius - D - pRad));
Point3d pawP = start + (va * (D - 0.2));
double side = Math.Sqrt(Math.Pow(C.Center.DistanceTo(pawP), 2) - Math.Pow(innC.Radius, 2));
ArcCurve tanC = new ArcCurve(new Circle(pawP, side));
//diection
var ccx = Rhino.Geometry.Intersect.Intersection.CurveCurve(innC, tanC, 0.1, 0.1);
Point3d tanP;
if (i == 0)
{
tanP = ccx[1].PointA;
}
else
{
tanP = ccx[0].PointA;
}
List <double> angle = Trigonometry(C.Center.DistanceTo(pawP), pawP.DistanceTo(tanP), innC.Radius, TrigLaw.SSS, Traingle.Angle);
Point3d depthP = pawP + ((Spring / Math.Sin(angle[1])) * Math.Tan(angle[1]) * -va);
Vector3d tan2cen = C.Center - tanP; tan2cen.Unitize();
Vector3d springY = Vector3d.CrossProduct(tan2cen, C.Normal); springY.Unitize();
//pawl teeth
List <Point3d> points = new List <Point3d> {
tanP + (tan2cen * Spring), depthP, pawP, tanP
};
PolylineCurve pawl = new PolylineCurve(points);
//spring arc
ArcCurve springArc = new ArcCurve(new Arc(tanP + (tan2cen * Spring), tanP + (tan2cen * Spring * 1.5) - springY * Spring * 0.5, tanP + (tan2cen * Spring * 2)));
Transform xform = Transform.Rotation(-Math.PI / (pawlCount * 3), C.Normal, C.Center);
springArc.Transform(xform);
ArcCurve extendSpring = new ArcCurve(new Arc(tanP + (tan2cen * Spring), tanP - pawP, springArc.PointAtStart));
ArcCurve clipSpring = new ArcCurve(new Arc(tanP + (tan2cen * Spring) + tan2cen * Spring, tanP - pawP, springArc.PointAtEnd));
clipSpring.Reverse();
//innC intersection
Line innRay = new Line(clipSpring.PointAtEnd, clipSpring.PointAtEnd - (tanP - pawP) * 2);
Point3d rayStop = Point3d.Unset;
double clt;
var clx = Rhino.Geometry.Intersect.Intersection.LineCircle(innRay, new Circle(C.Plane, C.Radius - D - pRad),
out clt, out rayStop, out clt, out rayStop);
LineCurve innSpring = new LineCurve(clipSpring.PointAtEnd, rayStop);
paws.Add(Curve.JoinCurves(new List <Curve> {
pawl, extendSpring, springArc, clipSpring, innSpring
})[0]);
//split t values
double splitA; double splitB;
new ArcCurve(new Circle(C.Plane, C.Radius - D - pRad)).ClosestPoint(rayStop, out splitA);
new ArcCurve(new Circle(C.Plane, C.Radius - D - pRad)).ClosestPoint(tanP, out splitB);
split.Add(splitA); split.Add(splitB);
}
}
ArcCurve innCircle = new ArcCurve(new Circle(C.Plane, C.Radius - D - pRad));
Curve[] shatter = innCircle.Split(split);
for (int i = 0; i < shatter.Length; i += 2)
{
paws.Add(shatter[i]);
}
SpringPawl = Curve.JoinCurves(paws)[0];
return(Curve.JoinCurves(rachets)[0]);
}
