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Gear.py
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from Object import Object
import geom
import wx
import cad
import math
from Object import PyProperty
from Object import PyPropertyLength
type = 0
class Gear(Object):
def __init__(self, mod = 1.0, num_teeth = 12):
Object.__init__(self, 0)
self.tm = geom.Matrix()
self.numTeeth = num_teeth
self.module = mod
self.addendumOffset = 0.0
self.addendumMultiplier = 1.0
self.dedendumMultiplier = 1.0
self.pressureAngle = 0.34906585039886 # 20 degrees
self.tipRelief = 0.05
self.rootChamfer = 0.03
self.numInvoluteFacets = 10
self.thickness = 5.0
self.color = cad.Color(128, 128, 128)
def GetIconFilePath(self):
return wx.GetApp().cad_dir + '/icons/gear.png'
def GetTitle(self):
teeth_str = str(self.numTeeth) + (' tooth' if self.numTeeth == 1 else ' teeth')
return "Gear - M" + str(self.module) + ' ' + teeth_str
def GetType(self):
return type
def GetTypeString(self):
return "Gear"
def GetColor(self):
return self.color
def SetColor(self, col):
self.color = col
def GlLinesOneSide(self, no_color, points, square):
if not no_color:
cad.DrawContrastBlackOrWhite()
cad.BeginLines()
for point in points:
cad.GlVertex2D(point)
cad.GlVertex2D(points[0])
cad.EndLinesOrTriangles()
cad.BeginLines()
for point in square:
cad.GlVertex2D(point)
cad.GlVertex2D(square[0])
cad.EndLinesOrTriangles()
def OnGlCommands(self, select, marked, no_color):
points = self.GetPoints(0.1)
if len(points) == 0:
return
square = [geom.Point(2,0), geom.Point(0,-2), geom.Point(-2,0), geom.Point(0,2), geom.Point(2,0)]
cad.DrawPushMatrix()
cad.DrawMultMatrix(self.tm)
self.GlLinesOneSide(no_color, points, square)
a = geom.Area()
c = geom.Curve()
for point in points:
c.Append(point)
c.Append(points[0])
a.Append(c)
c2 = geom.Curve()
for point in square:
c2.Append(point)
c2.Append(square[0])
a.Append(c2)
t_list = a.GetTrianglesList()
if not no_color:
cad.DrawColor(self.color)
for t in reversed(t_list):
cad.DrawTris(t, True)
# draw all the front faces
prev_point = points[-1]
cad.BeginTriangles()
for point in points:
p0 = geom.Point3D(prev_point.x, prev_point.y, 0)
p1 = geom.Point3D(point.x, point.y, 0)
p2 = geom.Point3D(point.x, point.y, self.thickness)
p3 = geom.Point3D(prev_point.x, prev_point.y, self.thickness)
cad.GlVertex(p0)
cad.GlVertex(p1)
cad.GlVertex(p2)
cad.GlVertex(p0)
cad.GlVertex(p2)
cad.GlVertex(p3)
prev_point = point
prev_point =square[-1]
for point in square:
p0 = geom.Point3D(prev_point.x, prev_point.y, 0)
p1 = geom.Point3D(point.x, point.y, 0)
p2 = geom.Point3D(point.x, point.y, self.thickness)
p3 = geom.Point3D(prev_point.x, prev_point.y, self.thickness)
cad.GlVertex(p0)
cad.GlVertex(p1)
cad.GlVertex(p2)
cad.GlVertex(p0)
cad.GlVertex(p2)
cad.GlVertex(p3)
prev_point = point
cad.EndLinesOrTriangles()
if not no_color:
cad.DrawContrastBlackOrWhite()
for point in points:
cad.BeginLines()
cad.GlVertex(geom.Point3D(point.x, point.y, 0))
cad.GlVertex(geom.Point3D(point.x, point.y, self.thickness))
cad.EndLinesOrTriangles()
for point in square:
cad.BeginLines()
cad.GlVertex(geom.Point3D(point.x, point.y, 0))
cad.GlVertex(geom.Point3D(point.x, point.y, self.thickness))
cad.EndLinesOrTriangles()
trans = geom.Matrix()
trans.Translate(geom.Point3D(0,0,self.thickness))
cad.DrawMultMatrix(trans)
self.GlLinesOneSide(no_color, points, square)
if not no_color:
cad.DrawColor(self.color)
for t in t_list:
cad.DrawTris(t, True)
cad.DrawPopMatrix()
def Transform(self, mat):
self.tm.Multiply(mat)
def WriteXml(self):
cad.SetXmlMatrix('tm', self.tm)
cad.SetXmlValue('numTeeth', self.numTeeth)
cad.SetXmlValue('module', self.module)
cad.SetXmlValue('addendumOffset', self.addendumOffset)
cad.SetXmlValue('addendumMultiplier', self.addendumMultiplier)
cad.SetXmlValue('dedendumMultiplier', self.dedendumMultiplier)
cad.SetXmlValue('pressureAngle', self.pressureAngle)
cad.SetXmlValue('tipRelief', self.tipRelief)
cad.SetXmlValue('rootChamfer', self.rootChamfer)
cad.SetXmlValue('numInvoluteFacets', self.numInvoluteFacets)
cad.SetXmlValue('thickness', self.thickness)
Object.WriteXml(self)
def ReadXml(self):
self.tm = cad.GetXmlMatrix('tm')
self.numTeeth = cad.GetXmlInt('numTeeth', self.numTeeth)
self.module = cad.GetXmlFloat('module', self.module)
self.addendumOffset = cad.GetXmlFloat('addendumOffset', self.addendumOffset)
self.addendumMultiplier = cad.GetXmlFloat('addendumMultiplier', self.addendumMultiplier)
self.dedendumMultiplier = cad.GetXmlFloat('dedendumMultiplier', self.dedendumMultiplier)
self.pressureAngle = cad.GetXmlFloat('pressureAngle', self.pressureAngle)
self.tipRelief = cad.GetXmlFloat('tipRelief', self.tipRelief)
self.rootChamfer = cad.GetXmlFloat('rootChamfer', self.rootChamfer)
self.numInvoluteFacets = cad.GetXmlInt('numInvoluteFacets', self.numInvoluteFacets)
self.thickness = cad.GetXmlFloat('thickness', self.thickness)
Object.ReadXml(self)
def MakeACopy(self):
copy = Gear()
copy.CopyFrom(self)
return copy
def CopyFrom(self, o):
self.tm = o.tm
Object.CopyFrom(self, o)
def GetBox(self):
box = geom.Box3D()
pitch_radius = float(self.module) * self.numTeeth * 0.5
outside_radius = pitch_radius + (self.addendumMultiplier*self.module + self.addendumOffset)
steps = 20
angle_step = 2.0 * math.pi / steps
angle = 0.0
for i in range(0, 20):
p = geom.Point3D(outside_radius * math.cos(angle), outside_radius * math.sin(angle), 0.0)
p.Transform(self.tm)
box.InsertPoint(p.x, p.y, p.z)
angle += angle_step
return box
def GetProperties(self):
properties = []
properties.append(PyProperty("num teeth", 'numTeeth', self))
properties.append(PyProperty("module", 'module', self))
properties.append(PyPropertyLength("addendum offset", 'addendumOffset', self))
properties.append(PyPropertyLength("addendum multiplier", 'addendumMultiplier', self))
properties.append(PyPropertyLength("dedendum multiplier", 'dedendumMultiplier', self))
properties.append(PyProperty("pressure angle", 'pressureAngle', self))
properties.append(PyProperty("tip relief", 'tipRelief', self))
properties.append(PyProperty("root chamfer", 'rootChamfer', self))
properties.append(PyProperty("num involute facets", 'numInvoluteFacets', self))
properties.append(PyPropertyLength("thickness", 'thickness', self))
properties += Object.GetProperties(self)
return properties
def GetPoints(self, tolerance):
pitch_radius = float(self.module) * self.numTeeth * 0.5
inside_radius = pitch_radius - self.dedendumMultiplier*self.module
outside_radius = pitch_radius + (self.addendumMultiplier*self.module + self.addendumOffset)
base_radius = pitch_radius * math.cos(self.pressureAngle)
if inside_radius < base_radius:
inside_radius = base_radius
inside_phi_and_angle = involute_intersect(inside_radius, base_radius)
outside_phi_and_angle = involute_intersect(outside_radius, base_radius)
tip_relief_phi_and_angle = involute_intersect(outside_radius - self.tipRelief, base_radius)
middle_phi_and_angle = involute_intersect(pitch_radius, base_radius)
points = []
clearance = math.fabs(self.GetClearanceMM())
for i in range(0, self.numTeeth):
tooth_angle = math.pi*2*i/self.numTeeth
next_tooth_angle = math.pi*2*(i+1)/self.numTeeth
relief_vector = geom.Point(math.cos(tooth_angle), math.sin(tooth_angle))
root_vector = ~relief_vector
# incremental_angle - to space the middle point at a quarter of a cycle
incremental_angle = 0.5*math.pi/self.numTeeth - middle_phi_and_angle[1]
angle1 = tooth_angle - (inside_phi_and_angle[1] + incremental_angle)
angle2 = tooth_angle + (inside_phi_and_angle[1] + incremental_angle);
angle3 = tooth_angle + (outside_phi_and_angle[1] + incremental_angle)
angle4 = next_tooth_angle - (outside_phi_and_angle[1] + incremental_angle)
if clearance > 0.0000000001:
p1 = geom.Point(math.cos(angle1) * inside_radius, math.sin(angle1) * inside_radius) + relief_vector * (-clearance)
p2 = geom.Point(math.cos(angle2) * inside_radius, math.sin(angle2) * inside_radius) + relief_vector * (-clearance)
if self.rootChamfer > 0.000000001:
points.append(p1 + relief_vector * self.rootChamfer)
points.append(p1 + root_vector * self.rootChamfer)
points.append(p2 + root_vector * (-self.rootChamfer))
points.append(p2 + relief_vector * self.rootChamfer)
else:
points.append(p1 + v_in * clearance)
points.append(p2 + v_in * clearance)
involute(points, tooth_angle + incremental_angle, False, inside_phi_and_angle, tip_relief_phi_and_angle, base_radius, self.numInvoluteFacets)
if math.fabs(self.tipRelief) > 0.00000000001:
points.append(point_at_rad_and_angle(outside_radius, angle3 + (self.tipRelief * 0.5)/outside_radius))
points.append(point_at_rad_and_angle(outside_radius, angle4 - (self.tipRelief * 0.5)/outside_radius))
involute(points, next_tooth_angle - incremental_angle, True, inside_phi_and_angle, tip_relief_phi_and_angle, base_radius, self.numInvoluteFacets)
return points
def GetClearanceMM(self):
# 12 teeth clearance 0.8
# 20 teeth clearance 0.55
# 52 teeth clearance 0.4
# 100000 teeth clearance 0.1
return (8.4 / ( 7.2 + self.numTeeth/2.5 )) * self.module
def point_at_phi(phi, base_radius):
x = base_radius * phi
sx = math.cos(phi) * base_radius
sy = math.sin(phi) * base_radius
return geom.Point(sx + math.sin(phi) * x, sy - math.cos(phi) * x)
def point_at_rad_and_angle(r, angle):
return geom.Point(r * math.cos(angle), r * math.sin(angle))
def involute_intersect1(r, base_radius, phi, phi_step):
while True:
p = point_at_phi(phi, base_radius)
if p.Length() > r:
if phi_step > 0.0000000001:
return involute_intersect1(r, base_radius, phi-phi_step, phi_step * 0.5)
return (phi, math.atan2(p.y, p.x))
phi = phi + phi_step
def involute_intersect(r, base_radius):
return involute_intersect1(r, base_radius, 1.0, 1.0)
def involute(points, tooth_angle, do_reverse, inside_phi_and_angle, tip_relief_phi_and_angle, base_radius, steps):
first = True
start = steps if do_reverse else 0
stop = -1 if do_reverse else (steps + 1)
step = -1 if do_reverse else 1
for i in range(start, stop, step):
phi = inside_phi_and_angle[0] + (tip_relief_phi_and_angle[0] - inside_phi_and_angle[0])*i/steps
# calculate point on the first tooth
p = point_at_phi(phi, base_radius)
if do_reverse:
p.y = -p.y # mirror for reverse
# rotate by tooth angle
x = p.x * math.cos(tooth_angle) -p.y*math.sin(tooth_angle)
y = p.y * math.cos(tooth_angle) + p.x * math.sin(tooth_angle)
points.append( geom.Point(x, y))