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/*
<?xml version='1.0' standalone='yes' ?>
<script>
<name>Cog</name>
<author>Forrest Higgs after Vik Olliver after Francois Guillet</author>
<version>1.0</version>
<date>16-May-2006</date>
<description>
This script creates an involute profile n-toothed gear. Input: pitch radius, pressure angle, and profile definition.
</description>
</script>
*/
//******************************************************************
//******************************************************************
//******************************************************************
// convert cylindrical to rectangular coordinates...
CylindricalToRectangular(double r,double theta)
{
double x;
double y;
x = r * Math.cos(theta);
y = r * Math.sin(theta);
return this;
}
//******************************************************************
//******************************************************************
//******************************************************************
// convert rectangular to cylindrical coordinates...
RectangularToCylindrical(double x, double y )
{
double r;
double theta;
r = Math.sqrt(x * x + y * y);
theta = Math.atan2(y, x);
return this;
}
//******************************************************************
//******************************************************************
//******************************************************************
scene = window.getScene();
double N;
double AP;
double AT;
double RP;
double P;
double RI;
double RO;
double RB;
double A1;
double A2;
double AD;
double Theta;
double XTemp;
double YTemp;
numberOfTeeth = new ValueField(4, ValueField.NONNEGATIVE);
pitchRadius = new ValueField(1, ValueField.NONNEGATIVE);
pressureAngle = new ValueField(20, ValueField.NONNEGATIVE);
profileDefinition = new ValueField(6, ValueField.NONNEGATIVE);
dlg = new ComponentsDialog(window, "Involute Gear Profile Generator" ,
new Widget [] { numberOfTeeth, pitchRadius, pressureAngle, profileDefinition },
new String [] { "Number of teeth (integer):", "Pitch radius:", "Pressure angle (degrees):", "Profile definition (surfaces):" } );
if (!dlg.clickedOk()) return;
N = (int) Math.round( numberOfTeeth.getValue() );
if (N < 4)
N = 4;
AP = pressureAngle.getValue();
AT = (360 / N);
RP = pitchRadius.getValue();
NP = (int) profileDefinition.getValue();
if (NP > 20)
NP = 20;
if (NP < 3)
NP = 6;
P = N / RP / 2;
RI = RP - (Math.PI / 2) / P;
RO = (1 / P) + RP;
RB = RP * Math.cos(AP * (Math.PI / 180));
A1 = 90 - AT / 4 + AP - RP * Math.sin(AP * (Math.PI/ 180)) / RB * 180 / Math.PI;
A2 = (Math.sqrt(RO * RO - RB * RB)) / RB * 180 / Math.PI + A1;
AD = ((A2 - A1) / (NP - 1));
A = A1;
double[] SplinePointsX = new double [100];
double[] SplinePointsY = new double [100];
double[] SaveClockwiseProfileX = new double [100];
double[] SaveClockwiseProfileY = new double [100];
double[] SaveAntiClockwiseProfileX = new double [100];
double[] SaveAntiClockwiseProfileY = new double [100];
double[] ToothProfileX = new double [100];
double[] ToothProfileY = new double [100];
for (int i = 1; i <= NP; i++)
{
L = RB * (A - A1) * Math.PI / 180;
X = RB * Math.cos(A * (Math.PI / 180)) + L * Math.sin(A * (Math.PI / 180));
Y = RB * Math.sin(A * (Math.PI / 180)) - L * Math.cos(A * (Math.PI / 180));
SplinePointsX[i] = X;
SplinePointsY[i] = Y;
A = A + AD;
}
x1 = RI * Math.cos(A1 * (Math.PI / 180));
y1 = RI * Math.sin(A1 * (Math.PI / 180));
x2 = RB * Math.cos(A1 * (Math.PI / 180));
y2 = RB * Math.sin(A1 * (Math.PI / 180));
XY = CylindricalToRectangular(RI, (90 - AT / 2) * (Math.PI / 180));
// Finangling factor to stop the troughs between teeth distorting > 45 teeth.
double finanglingFactor=1;
if (N>45) {
finanglingFactor=1-((N-45)*.00068);
// Works out at 0.97 for 79 teeth. But is quite horrible.
}
SaveClockwiseProfileX[1] = XY.x*finanglingFactor;
SaveClockwiseProfileY[1] = XY.y*finanglingFactor;
SaveClockwiseProfileX[2] = x1*finanglingFactor;
SaveClockwiseProfileY[2] = y1*finanglingFactor;
SaveClockwiseProfileX[3] = x2;
SaveClockwiseProfileY[3] = y2;
for (int i = 2; i <= NP; i++)
{
SaveClockwiseProfileX[2 + i] = SplinePointsX[i];
SaveClockwiseProfileY[2 + i] = SplinePointsY[i];
}
SaveClockwiseProfileX[2 + NP + 1] = 0;
SaveClockwiseProfileY[2 + NP + 1] = RO;
//******************************************************************
//******************************************************************
//******************************************************************
// mirror the tooth profile
XY = CylindricalToRectangular(RI, (90 + AT / 2) * (Math.PI / 180));
RTheta = RectangularToCylindrical( x1, y1 );
Theta = RTheta.theta * (180 / Math.PI);
Theta = 90 - Theta;
Theta = 90 + Theta;
X1Y1 = CylindricalToRectangular(RTheta.r, Theta*(Math.PI / 180));
RTheta = RectangularToCylindrical( x2, y2 );
Theta = RTheta.theta * (180 / Math.PI);
Theta = 90 - Theta;
Theta = 90 + Theta;
X2Y2 = CylindricalToRectangular(RTheta.r, Theta*(Math.PI / 180));
SaveAntiClockwiseProfileX[1] = XY.x*finanglingFactor;
SaveAntiClockwiseProfileY[1] = XY.y*finanglingFactor;
SaveAntiClockwiseProfileX[2] = X1Y1.x*finanglingFactor;
SaveAntiClockwiseProfileY[2] = X1Y1.y*finanglingFactor;
SaveAntiClockwiseProfileX[3] = X2Y2.x;
SaveAntiClockwiseProfileY[3] = X2Y2.y;
for (int i = 2; i <= NP; i++)
{
RTheta = RectangularToCylindrical( SplinePointsX[i - 1], SplinePointsY[i - 1] );
Theta = RTheta.theta * (180 / Math.PI);
Theta = 90 - RTheta.theta;
Theta = 90 + RTheta.theta;
X1Y1 = CylindricalToRectangular(RTheta.r, Theta*(Math.PI / 180));
RTheta = RectangularToCylindrical( SplinePointsX[i], SplinePointsY[i] );
Theta = RTheta.theta * (180 / Math.PI);
Theta = 90 - Theta ;
Theta = 90 + Theta ;
X2Y2 = CylindricalToRectangular(RTheta.r, Theta*(Math.PI / 180));
SaveAntiClockwiseProfileX[2 + i] = X2Y2.x;
SaveAntiClockwiseProfileY[2 + i] = X2Y2.y;
}
SaveAntiClockwiseProfileX[2 + NP + 1] = 0;
SaveAntiClockwiseProfileY[2 + NP + 1] = RO;
//******************************************************************
//******************************************************************
//******************************************************************
int ToothProfileLimit = 0;
for (int i = 1; i <= NP + 3; i++)
{
ToothProfileLimit = ToothProfileLimit + 1;
ToothProfileX[ToothProfileLimit] = SaveAntiClockwiseProfileX[i];
ToothProfileY[ToothProfileLimit] = SaveAntiClockwiseProfileY[i];
}
for (int i = NP + 2; i >= 1; i--)
{
ToothProfileLimit = ToothProfileLimit + 1;
ToothProfileX[ToothProfileLimit] = SaveClockwiseProfileX[i];
ToothProfileY[ToothProfileLimit] = SaveClockwiseProfileY[i];
}
//******************************************************************
//******************************************************************
//******************************************************************
Vec3[] v = new Vec3[(ToothProfileLimit-1)*N];
float[] smoothness = new float[(ToothProfileLimit-1)*N];
int index = 0;
double scale = 1.0;
double Xlast;
double Ylast;
for (int ii = 1; ii <= N; ii++)
{
//print ("ii = " + ii );
for (int i = 2; i <= ToothProfileLimit; i++)
{
RTheta = RectangularToCylindrical( ToothProfileX[i], ToothProfileY[i] );
Theta = RTheta.theta - (AT) * ii * (Math.PI / 180);
XY = CylindricalToRectangular( RTheta.r, Theta );
v[index] = new Vec3( XY.x, XY.y, 0 );
v[index].scale(scale);
smoothness[index]=0;
//print ("ii/i/x/y = " + ii + " " + i + " " + XY.x + " " + XY.y);
index += 1;
}
}
//******************************************************************
//******************************************************************
//******************************************************************
curve = new Curve( v, smoothness, Mesh.APPROXIMATING, true);
//we're done
window.addObject(curve, new CoordinateSystem(), "Involute Profile Gear", null);
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