def involute_points(self, num=10):
pts = linspace(self.involute_start, self.involute_end, num=num)
fx = self.involute_function_x()
x = array(map(fx, pts))
fy = self.involute_function_y()
y = array(map(fy, pts))
rot = rotation(self.involute_rot - self.backlash / 4)
xy = rot(transpose(array([x, y])))
return(xy)
def undercut_points(self, num=10):
pts = linspace(0, self.undercut_end, num=num)
fx = self.undercut_function_x()
x = array(map(fx, pts))
fy = self.undercut_function_y()
y = array(map(fy, pts))
xy = transpose([x, y])
rotate = rotation(
self.undercut_rot + self.phipart / 2 - self.backlash / 4)
xy = rotate(xy)
return(array(xy))
def points(self, num = 10):
inner_x = self.hypocycloide_x()
inner_y = self.hypocycloide_y()
outer_x = self.epicycloide_x()
outer_y = self.epicycloide_y()
t_inner_end = self.inner_end()
t_outer_end = self.outer_end()
t_vals_outer = linspace(0, t_outer_end, num)
t_vals_inner = linspace(t_inner_end,0,num)
pts_outer_x = map(outer_x, t_vals_outer)
pts_outer_y = map(outer_y, t_vals_outer)
pts_inner_x = map(inner_x, t_vals_inner)
pts_inner_y = map(inner_y, t_vals_inner)
pts_outer = transpose([pts_outer_x, pts_outer_y])
pts_inner = transpose([pts_inner_x, pts_inner_y])
pts1 = vstack([pts_inner[:-2],pts_outer])
rot =rotation(self.phipart / 4 - self.backlash)
pts1 = rot(pts1)
ref = reflection(0.)
pts2 = ref(pts1)[::-1]
one_tooth = [pts1,array([pts1[-1],pts2[0]]), pts2]
return(one_tooth)
def gearfunc(self, x):
rot = rotation(2 * x / self.dw, self.midpoint)
return(rot)