refactor: Combine Hirth Joint into one class
This commit is contained in:
parent
87e99ac4ce
commit
3170a025a1
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@ -0,0 +1,6 @@
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import cadquery as Cq
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def binary_intersection(a: Cq.Assembly) -> Cq.Shape:
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objs = [s.toCompound() for _, s in a.traverse() if isinstance(s, Cq.Assembly)]
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obj1, obj2 = objs[:2]
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return obj1.intersect(obj2)
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115
nhf/joints.py
115
nhf/joints.py
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@ -10,51 +10,60 @@ def hirth_tooth_angle(n_tooth):
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"""
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"""
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return 360 / n_tooth
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return 360 / n_tooth
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def hirth_joint(radius=60,
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@dataclass(frozen=True)
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radius_inner=40,
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class HirthJoint:
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base_height=20,
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n_tooth=16,
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tooth_height=16,
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tooth_height_inner=2,
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tol=0.01,
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tag_prefix="",
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is_mated=False):
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"""
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"""
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Creates a cylindrical Hirth Joint
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A Hirth joint attached to a cylindrical base
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"""
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radius: float = 60
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radius_inner: float = 40
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base_height: float = 20
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n_tooth: float = 16
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tooth_height: float = 16
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tooth_height_inner: float = 2
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def __post_init__(self):
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# Ensures tangent doesn't blow up
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assert self.n_tooth >= 5
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assert self.radius > self.radius_inner
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assert self.tooth_height >= self.tooth_height_inner
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@property
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def _theta(self):
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return math.pi / self.n_tooth
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@property
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def tooth_angle(self):
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return hirth_tooth_angle(self.n_tooth)
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def generate(self, tag_prefix="", is_mated=False, tol=0.01):
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"""
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is_mated: If set to true, rotate the teeth so they line up at 0 degrees.
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is_mated: If set to true, rotate the teeth so they line up at 0 degrees.
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FIXME: The curves don't mate perfectly. See if non-planar lofts can solve
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FIXME: The curves don't mate perfectly. See if non-planar lofts can solve
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this issue.
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this issue.
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"""
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"""
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# ensures tangent doesn't blow up
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c, s, t = math.cos(self._theta), math.sin(self._theta), math.tan(self._theta)
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assert n_tooth >= 5
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span = self.radius * t
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assert radius > radius_inner
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radius_proj = self.radius / c
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assert tooth_height >= tooth_height_inner
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span_inner = self.radius_inner * s
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# angle of half of a single tooth
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theta = math.pi / n_tooth
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c, s, t = math.cos(theta), math.sin(theta), math.tan(theta)
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span = radius * t
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radius_proj = radius / c
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span_inner = radius_inner * s
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# 2 * raise + (inner tooth height) = (tooth height)
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# 2 * raise + (inner tooth height) = (tooth height)
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inner_raise = (tooth_height - tooth_height_inner) / 2
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inner_raise = (self.tooth_height - self.tooth_height_inner) / 2
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# Outer tooth triangle spans 2*theta radians. This profile is the radial
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# Outer tooth triangle spans 2*theta radians. This profile is the radial
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# profile projected onto a plane `radius` away from the centre of the
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# profile projected onto a plane `radius` away from the centre of the
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# cylinder. The y coordinates on the edge must drop to compensate.
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# cylinder. The y coordinates on the edge must drop to compensate.
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# The drop is equal to, via similar triangles
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# The drop is equal to, via similar triangles
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drop = inner_raise * (radius_proj - radius) / (radius - radius_inner)
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drop = inner_raise * (radius_proj - self.radius) / (self.radius - self.radius_inner)
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outer = [
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outer = [
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(span, -tol - drop),
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(span, -tol - drop),
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(span, -drop),
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(span, -drop),
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(0, tooth_height),
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(0, self.tooth_height),
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(-span, -drop),
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(-span, -drop),
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(-span, -tol - drop),
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(-span, -tol - drop),
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]
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]
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adj = radius_inner * c
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adj = self.radius_inner * c
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# In the case of the inner triangle, it is projected onto a plane `adj` away
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# In the case of the inner triangle, it is projected onto a plane `adj` away
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# from the centre. The apex must extrapolate
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# from the centre. The apex must extrapolate
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@ -62,8 +71,8 @@ def hirth_joint(radius=60,
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#
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#
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# (inner_raise + tooth_height_inner) -
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# (inner_raise + tooth_height_inner) -
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# (tooth_height - inner_raise - tooth_height_inner) * ((radius_inner - adj) / (radius - radius_inner))
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# (tooth_height - inner_raise - tooth_height_inner) * ((radius_inner - adj) / (radius - radius_inner))
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apex = (inner_raise + tooth_height_inner) - \
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apex = (inner_raise + self.tooth_height_inner) - \
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inner_raise * (radius_inner - adj) / (radius - radius_inner)
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inner_raise * (self.radius_inner - adj) / (self.radius - self.radius_inner)
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inner = [
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inner = [
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(span_inner, -tol),
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(span_inner, -tol),
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(span_inner, inner_raise),
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(span_inner, inner_raise),
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@ -75,48 +84,50 @@ def hirth_joint(radius=60,
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Cq.Workplane('YZ')
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Cq.Workplane('YZ')
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.polyline(inner)
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.polyline(inner)
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.close()
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.close()
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.workplane(offset=radius - adj)
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.workplane(offset=self.radius - adj)
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.polyline(outer)
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.polyline(outer)
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.close()
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.close()
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.loft(ruled=False, combine=True)
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.loft(ruled=False, combine=True)
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.val()
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.val()
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)
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)
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angle_offset = hirth_tooth_angle(n_tooth) / 2 if is_mated else 0
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angle_offset = hirth_tooth_angle(self.n_tooth) / 2 if is_mated else 0
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h = self.base_height + self.tooth_height
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teeth = (
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teeth = (
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Cq.Workplane('XY')
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Cq.Workplane('XY')
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.polarArray(
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.polarArray(
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radius=adj,
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radius=adj,
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startAngle=angle_offset,
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startAngle=angle_offset,
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angle=360,
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angle=360,
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count=n_tooth)
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count=self.n_tooth)
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.eachpoint(lambda loc: tooth.located(loc))
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.eachpoint(lambda loc: tooth.located(loc))
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.intersect(Cq.Solid.makeCylinder(
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.intersect(Cq.Solid.makeCylinder(
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height=base_height + tooth_height,
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height=h,
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radius=radius,
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radius=self.radius,
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))
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.intersect(Cq.Solid.makeCylinder(
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height=base_height + tooth_height,
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radius=radius,
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))
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))
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.cut(Cq.Solid.makeCylinder(
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.cut(Cq.Solid.makeCylinder(
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height=base_height + tooth_height,
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height=h,
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radius=radius_inner,
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radius=self.radius_inner,
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))
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))
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)
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)
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base = (
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base = (
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Cq.Workplane('XY')
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Cq.Workplane('XY')
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.cylinder(
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.cylinder(
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height=base_height,
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height=self.base_height,
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radius=radius,
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radius=self.radius,
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centered=(True, True, False))
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centered=(True, True, False))
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.faces(">Z").tag(f"{tag_prefix}bore")
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.faces(">Z").tag(f"{tag_prefix}bore")
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.union(teeth.val().move(Cq.Location((0,0,base_height))), tol=tol)
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.union(
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teeth.val().move(Cq.Location((0,0,self.base_height))),
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tol=tol)
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.clean()
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.clean()
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)
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)
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#base.workplane(offset=tooth_height/2).circle(radius=radius,forConstruction=True).tag("mate")
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#base.workplane(offset=tooth_height/2).circle(radius=radius,forConstruction=True).tag("mate")
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(
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(
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base
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base
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.polyline([(0, 0, base_height), (0, 0, base_height+tooth_height)], forConstruction=True)
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.polyline([
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(0, 0, self.base_height),
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(0, 0, self.base_height + self.tooth_height)
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], forConstruction=True)
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.tag(f"{tag_prefix}mate")
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.tag(f"{tag_prefix}mate")
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)
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)
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(
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(
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@ -126,18 +137,16 @@ def hirth_joint(radius=60,
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)
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)
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return base
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return base
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def hirth_assembly(n_tooth=12):
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def assembly(self):
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"""
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"""
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Example assembly of two Hirth joints
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Generate an example assembly
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"""
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"""
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#rotate = 180 / 16
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tab = (
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tab = (
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Cq.Workplane('XY')
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Cq.Workplane('XY')
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.box(100, 10, 2, centered=False)
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.box(100, 10, 2, centered=False)
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)
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)
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obj1 = (
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obj1 = (
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hirth_joint(n_tooth=n_tooth)
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self.generate()
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.faces(tag="bore")
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.faces(tag="bore")
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.cboreHole(
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.cboreHole(
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diameter=10,
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diameter=10,
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.union(tab)
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.union(tab)
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)
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)
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obj2 = (
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obj2 = (
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hirth_joint(n_tooth=n_tooth, is_mated=True)
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self.generate(is_mated=True)
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.union(tab)
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.union(tab)
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)
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)
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angle = hirth_tooth_angle(n_tooth)
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angle = 1 * self.tooth_angle
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result = (
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result = (
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Cq.Assembly()
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Cq.Assembly()
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.add(obj1, name="obj1", color=Role.PARENT.color)
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.add(obj1, name="obj1", color=Role.PARENT.color)
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@ -429,10 +438,10 @@ class TorsionJoint:
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spring = self.spring()
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spring = self.spring()
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result = (
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result = (
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Cq.Assembly()
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Cq.Assembly()
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.add(spring, name="spring", color=Cq.Color(0.5,0.5,0.5,1))
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.add(spring, name="spring", color=Role.DAMPING.color)
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.add(track, name="track", color=Cq.Color(0.5,0.5,0.8,0.3))
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.add(track, name="track", color=Role.PARENT.color)
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.constrain("track?spring", "spring?top", "Plane")
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.constrain("track?spring", "spring?top", "Plane")
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.add(rider, name="rider", color=Cq.Color(0.8,0.8,0.5,0.3))
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.add(rider, name="rider", color=Role.CHILD.color)
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.constrain("rider?spring", "spring?bot", "Plane")
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.constrain("rider?spring", "spring?bot", "Plane")
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.constrain("track?directrix", "spring?directrix_bot", "Axis")
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.constrain("track?directrix", "spring?directrix_bot", "Axis")
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.constrain("rider?directrix0", "spring?directrix_top", "Axis")
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.constrain("rider?directrix0", "spring?directrix_top", "Axis")
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@ -16,6 +16,7 @@ class Role(Enum):
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# Parent and child components in a load bearing joint
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# Parent and child components in a load bearing joint
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PARENT = _color('blue4', 0.6)
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PARENT = _color('blue4', 0.6)
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CHILD = _color('darkorange2', 0.6)
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CHILD = _color('darkorange2', 0.6)
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DAMPING = _color('springgreen', 0.5)
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STRUCTURE = _color('gray', 0.4)
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STRUCTURE = _color('gray', 0.4)
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DECORATION = _color('lightseagreen', 0.4)
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DECORATION = _color('lightseagreen', 0.4)
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ELECTRONIC = _color('mediumorchid', 0.5)
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ELECTRONIC = _color('mediumorchid', 0.5)
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@ -8,12 +8,14 @@ from nhf.checks import binary_intersection
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class TestJoints(unittest.TestCase):
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class TestJoints(unittest.TestCase):
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def test_joint_hirth(self):
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def test_joint_hirth(self):
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j = nhf.joints.hirth_joint()
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j = nhf.joints.HirthJoint()
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obj = j.generate()
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self.assertIsInstance(
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self.assertIsInstance(
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j.val().solids(), Cq.Solid,
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obj.val().solids(), Cq.Solid,
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msg="Hirth joint must be in one piece")
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msg="Hirth joint must be in one piece")
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def test_joints_hirth_assembly(self):
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def test_joints_hirth_assembly(self):
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assembly = nhf.joints.hirth_assembly()
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j = nhf.joints.HirthJoint()
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assembly = j.assembly()
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isect = binary_intersection(assembly)
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isect = binary_intersection(assembly)
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self.assertLess(isect.Volume(), 1e-6,
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self.assertLess(isect.Volume(), 1e-6,
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"Hirth joint assembly must not have intersection")
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"Hirth joint assembly must not have intersection")
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@ -30,10 +30,12 @@ import cadquery as Cq
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import nhf.joints
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import nhf.joints
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import nhf.handle
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import nhf.handle
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from nhf import Material
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from nhf import Material
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from nhf.joints import HirthJoint
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from nhf.handle import Handle
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import nhf.touhou.houjuu_nue.wing as MW
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import nhf.touhou.houjuu_nue.wing as MW
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import nhf.touhou.houjuu_nue.trident as MT
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import nhf.touhou.houjuu_nue.trident as MT
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@dataclass(frozen=True)
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@dataclass
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class Parameters:
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class Parameters:
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"""
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"""
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Defines dimensions for the Houjuu Nue cosplay
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Defines dimensions for the Houjuu Nue cosplay
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# Harness
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# Harness
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harness_thickness: float = 25.4 / 8
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harness_thickness: float = 25.4 / 8
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harness_width = 300
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harness_width: float = 300
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harness_height = 400
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harness_height: float = 400
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harness_fillet = 10
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harness_fillet: float = 10
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harness_wing_base_pos = [
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harness_wing_base_pos = [
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("r1", 70, 150),
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("r1", 70, 150),
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# Holes drilled onto harness for attachment with HS joint
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# Holes drilled onto harness for attachment with HS joint
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harness_to_root_conn_diam = 6
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harness_to_root_conn_diam = 6
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hs_hirth_joint: HirthJoint = HirthJoint(
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radius=30,
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radius_inner=20,
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tooth_height=10,
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base_height=5
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)
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# Wing root properties
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# Wing root properties
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#
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#
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# The Houjuu-Scarlett joint mechanism at the base of the wing
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# The Houjuu-Scarlett joint mechanism at the base of the wing
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hs_joint_base_width = 85
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hs_joint_base_width: float = 85
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hs_joint_base_thickness = 10
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hs_joint_base_thickness: float = 10
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hs_joint_ring_thickness = 5
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hs_joint_corner_fillet: float = 5
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hs_joint_tooth_height = 10
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hs_joint_corner_cbore_diam: float = 12
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hs_joint_radius = 30
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hs_joint_corner_cbore_depth: float = 2
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hs_joint_radius_inner = 20
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hs_joint_corner_inset: float = 12
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hs_joint_corner_fillet = 5
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hs_joint_corner_cbore_diam = 12
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hs_joint_corner_cbore_depth = 2
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hs_joint_corner_inset = 12
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hs_joint_axis_diam = 12
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hs_joint_axis_diam: float = 12
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hs_joint_axis_cbore_diam = 20
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hs_joint_axis_cbore_diam: float = 20
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hs_joint_axis_cbore_depth = 3
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hs_joint_axis_cbore_depth: float = 3
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# Exterior radius of the wing root assembly
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# Exterior radius of the wing root assembly
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wing_root_radius = 40
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wing_root_radius: float = 40
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"""
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"""
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Heights for various wing joints, where the numbers start from the first joint.
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Heights for various wing joints, where the numbers start from the first joint.
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"""
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"""
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wing_r1_height = 100
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wing_r1_height: float = 100
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wing_r1_width = 400
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wing_r1_width: float = 400
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wing_r2_height = 100
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wing_r2_height: float = 100
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wing_r3_height = 100
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wing_r3_height: float = 100
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trident_handle: nhf.handle.Handle = nhf.handle.Handle(
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trident_handle: Handle = Handle(
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diam=38,
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diam=38,
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diam_inner=33,
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diam_inner=33,
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# M27-3
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# M27-3
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@ -100,7 +105,7 @@ class Parameters:
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)
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)
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def __post_init__(self):
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def __post_init__(self):
|
||||||
assert self.wing_root_radius > self.hs_joint_radius,\
|
assert self.wing_root_radius > self.hs_hirth_joint.radius,\
|
||||||
"Wing root must be large enough to accomodate joint"
|
"Wing root must be large enough to accomodate joint"
|
||||||
|
|
||||||
|
|
||||||
|
@ -174,20 +179,12 @@ class Parameters:
|
||||||
(-dx, dx),
|
(-dx, dx),
|
||||||
]
|
]
|
||||||
|
|
||||||
def hs_joint_component(self):
|
|
||||||
hirth = nhf.joints.hirth_joint(
|
|
||||||
radius=self.hs_joint_radius,
|
|
||||||
radius_inner=self.hs_joint_radius_inner,
|
|
||||||
tooth_height=self.hs_joint_tooth_height,
|
|
||||||
base_height=self.hs_joint_ring_thickness)
|
|
||||||
return hirth
|
|
||||||
|
|
||||||
def hs_joint_parent(self):
|
def hs_joint_parent(self):
|
||||||
"""
|
"""
|
||||||
Parent part of the Houjuu-Scarlett joint, which is composed of a Hirth
|
Parent part of the Houjuu-Scarlett joint, which is composed of a Hirth
|
||||||
coupling, a cylindrical base, and a mounting base.
|
coupling, a cylindrical base, and a mounting base.
|
||||||
"""
|
"""
|
||||||
hirth = self.hs_joint_component().val()
|
hirth = self.hs_hirth_joint.generate()
|
||||||
#hirth = (
|
#hirth = (
|
||||||
# hirth
|
# hirth
|
||||||
# .faces("<Z")
|
# .faces("<Z")
|
||||||
|
@ -231,7 +228,7 @@ class Parameters:
|
||||||
result
|
result
|
||||||
.faces(">Z")
|
.faces(">Z")
|
||||||
.workplane()
|
.workplane()
|
||||||
.union(hirth.move(Cq.Location((0, 0, self.hs_joint_base_thickness))), tol=0.1)
|
.union(hirth.translate((0, 0, self.hs_joint_base_thickness)), tol=0.1)
|
||||||
.clean()
|
.clean()
|
||||||
)
|
)
|
||||||
result = (
|
result = (
|
||||||
|
@ -247,7 +244,12 @@ class Parameters:
|
||||||
result.faces("<Z").tag("base")
|
result.faces("<Z").tag("base")
|
||||||
return result
|
return result
|
||||||
|
|
||||||
|
def wing_root(self) -> Cq.Shape:
|
||||||
|
"""
|
||||||
|
Generate the wing root which contains a Hirth joint at its base and a
|
||||||
|
rectangular opening on its side, with the necessary interfaces.
|
||||||
|
"""
|
||||||
|
return MW.wing_root(joint=self.hs_hirth_joint)
|
||||||
|
|
||||||
def wing_r1_profile(self) -> Cq.Sketch:
|
def wing_r1_profile(self) -> Cq.Sketch:
|
||||||
"""
|
"""
|
||||||
|
@ -288,13 +290,6 @@ class Parameters:
|
||||||
)
|
)
|
||||||
return result
|
return result
|
||||||
|
|
||||||
def wing_root(self) -> Cq.Shape:
|
|
||||||
"""
|
|
||||||
Generate the wing root which contains a Hirth joint at its base and a
|
|
||||||
rectangular opening on its side, with the necessary interfaces.
|
|
||||||
"""
|
|
||||||
return MW.wing_root()
|
|
||||||
|
|
||||||
######################
|
######################
|
||||||
# Assemblies #
|
# Assemblies #
|
||||||
######################
|
######################
|
||||||
|
@ -310,12 +305,18 @@ class Parameters:
|
||||||
j = self.hs_joint_parent()
|
j = self.hs_joint_parent()
|
||||||
(
|
(
|
||||||
result
|
result
|
||||||
.add(j, name=f"hs_{name}p", color=Material.PLASTIC_PLA.color)
|
.add(j, name=f"hs_{name}", color=Material.PLASTIC_PLA.color)
|
||||||
#.constrain(f"harness?{name}", f"hs_{name}p?mate", "Point")
|
#.constrain(f"harness?{name}", f"hs_{name}p?mate", "Point")
|
||||||
.constrain("harness?mount", f"hs_{name}p?base", "Axis")
|
.constrain("harness?mount", f"hs_{name}?base", "Axis")
|
||||||
)
|
)
|
||||||
for i in range(4):
|
for i in range(4):
|
||||||
result.constrain(f"harness?{name}_{i}", f"hs_{name}p?h{i}", "Point")
|
result.constrain(f"harness?{name}_{i}", f"hs_{name}?h{i}", "Point")
|
||||||
|
angle = 6 * self.hs_hirth_joint.tooth_angle
|
||||||
|
(
|
||||||
|
result.add(self.wing_root(), name="w0_r1", color=Material.PLASTIC_PLA.color)
|
||||||
|
.constrain("w0_r1?mate", "hs_r1?mate", "Plane")
|
||||||
|
.constrain("w0_r1?directrix", "hs_r1?directrix", "Axis", param=angle)
|
||||||
|
)
|
||||||
result.solve()
|
result.solve()
|
||||||
return result
|
return result
|
||||||
|
|
||||||
|
|
|
@ -20,7 +20,7 @@ class Test(unittest.TestCase):
|
||||||
self.assertLess(bbox.zlen, 255, msg=msg)
|
self.assertLess(bbox.zlen, 255, msg=msg)
|
||||||
def test_wings(self):
|
def test_wings(self):
|
||||||
p = M.Parameters()
|
p = M.Parameters()
|
||||||
p.wing_r1()
|
p.wing_root()
|
||||||
def test_harness(self):
|
def test_harness(self):
|
||||||
p = M.Parameters()
|
p = M.Parameters()
|
||||||
p.harness_assembly()
|
p.harness_assembly()
|
||||||
|
|
|
@ -1,5 +1,10 @@
|
||||||
|
"""
|
||||||
|
This file describes the shapes of the wing shells. The joints are defined in
|
||||||
|
`__init__.py`.
|
||||||
|
"""
|
||||||
import math
|
import math
|
||||||
import cadquery as Cq
|
import cadquery as Cq
|
||||||
|
from nhf.joints import HirthJoint
|
||||||
|
|
||||||
def wing_root_profiles(
|
def wing_root_profiles(
|
||||||
base_sweep=150,
|
base_sweep=150,
|
||||||
|
@ -117,7 +122,13 @@ def wing_root_profiles(
|
||||||
.wires().val()
|
.wires().val()
|
||||||
)
|
)
|
||||||
return base, middle, tip
|
return base, middle, tip
|
||||||
def wing_root():
|
|
||||||
|
|
||||||
|
def wing_root(joint: HirthJoint,
|
||||||
|
bolt_diam: int = 12):
|
||||||
|
"""
|
||||||
|
Generate the contiguous components of the root wing segment
|
||||||
|
"""
|
||||||
root_profile, middle_profile, tip_profile = wing_root_profiles()
|
root_profile, middle_profile, tip_profile = wing_root_profiles()
|
||||||
|
|
||||||
rotate_centre = Cq.Vector(-200, 0, -25)
|
rotate_centre = Cq.Vector(-200, 0, -25)
|
||||||
|
@ -175,4 +186,16 @@ def wing_root():
|
||||||
result = seg1.union(seg2).union(seg3)
|
result = seg1.union(seg2).union(seg3)
|
||||||
result.faces("<Z").tag("base")
|
result.faces("<Z").tag("base")
|
||||||
result.faces(">X").tag("conn")
|
result.faces(">X").tag("conn")
|
||||||
|
|
||||||
|
j = (
|
||||||
|
joint.generate(is_mated=True)
|
||||||
|
.faces("<Z")
|
||||||
|
.hole(bolt_diam)
|
||||||
|
)
|
||||||
|
result = (
|
||||||
|
result
|
||||||
|
.union(j.translate((0, 0, -10)))
|
||||||
|
.union(Cq.Solid.makeCylinder(57, 5).moved(Cq.Location((0, 0, -10))))
|
||||||
|
.clean()
|
||||||
|
)
|
||||||
return result
|
return result
|
||||||
|
|
Loading…
Reference in New Issue