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Copy pathdifferential-asymetric.py
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differential-asymetric.py
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from madcad import *
from madcad.gear import *
from madcad.joints import *
# bevelgear with annotations
def sbevelgear(step, z, pitch_cone_angle, **kwargs):
part = bevelgear(step, z, pitch_cone_angle, **kwargs)
top = project(part.group(4).barycenter(), Z)
bot = project(part.group(1).barycenter(), Z)
return Solid(
part = part .option(color=gear_color),
summit = O,
axis = Axis(top, -Z, interval=(0, length(top))),
bot = Axis(bot, Z, interval=(0, length(top-bot))),
annotations = [
note_radius(part.group(part.groupnear(top+z*step*X))),
note_radius(part.group(part.groupnear(mix(top, bot, 0.5)))),
],
)
# bolt with annotations
def bolt(a, b, dscrew, washera=False, washerb=False):
dir = normalize(b-a)
rwasher = washer(dscrew)
thickness = rwasher['part'].box().width.z
rscrew = screw(dscrew, stceil(distance(a,b) + 1.2*dscrew, precision=0.2))
rnut = nut(dscrew)
rscrew['annotations'] = [
note_distance(O, -stceil(distance(a,b) + 1.2*dscrew)*Z, offset=2*dscrew*X),
note_radius(rscrew['part'].group(0)),
]
return Solid(
screw = rscrew.place((Revolute, rscrew['axis'], Axis(a-thickness*dir*int(washera), -dir))),
nut = rnut.place((Revolute, rnut['top'], Axis(b+thickness*dir*int(washerb), -dir))),
w1 = rwasher.place((Revolute, rwasher['top'], Axis(b, -dir))),
w2 = rwasher.place((Revolute, rwasher['top'], Axis(a, dir))),
)
settings.resolution = ('sqradm', 0.5)
transmiter_angle = pi/6
transmiter_z = 8
gear_step = 6
output_radius = 5
gear_color = vec3(0.2, 0.3, 0.4)
shell_thickness = 1
dscrew = 3
helix_angle = 0 #radians(-20)
axis_z = round(transmiter_z/tan(transmiter_angle))
transmiter_rint = stceil((transmiter_z * gear_step / (2*pi) - 0.6*gear_step) * (0.5 + 0.2*sin(transmiter_angle)))
# mechanism
# interface shafts
bearing_height = stceil(output_radius)
bearing_radius = stceil(output_radius*2.5)
out_gear = sbevelgear(gear_step, axis_z, pi/2-transmiter_angle,
bore_radius=output_radius,
bore_height=1.2*bearing_height,
helix_angle = helix_angle,
)
output = Solid(
gear = out_gear,
bearing = bearing(stceil(output_radius*1.5*2), bearing_radius*2, bearing_height)
.transform(out_gear['axis'].origin - 0.5*bearing_height*Z),
)
output1 = output
output2 = output.transform(rotate(pi,Y))
# internal transmission shafts
transmiter_axis_thickness = stceil(transmiter_rint*0.4)
transmiter_washer_thickness = stceil(transmiter_rint*0.2)
transmiter_gear = sbevelgear(gear_step, transmiter_z, transmiter_angle,
bore_height=0,
bore_radius=transmiter_rint*1.05,
helix_angle = -helix_angle,
)
transmiter = Solid(
gear = transmiter_gear,
bearing = slidebearing(
(transmiter_rint-transmiter_axis_thickness)*2,
stceil(distance(transmiter_gear['axis'].origin, transmiter_gear['bot'].origin) + 2*transmiter_rint),
transmiter_axis_thickness,
) .transform(translate(transmiter_gear['bot'].origin) * rotate(pi,X)),
washer = washer(
stceil(transmiter_rint*2),
stceil(transmiter_rint*1.8*2),
transmiter_washer_thickness,
) .transform(transmiter_gear['axis'].origin),
).transform(rotate(pi/2,Y))
transmiter_amount = ceil(axis_z / (1.5*transmiter_z/pi))
transmiters = [transmiter.transform(rotate(i*2*pi/transmiter_amount,Z)) for i in range(transmiter_amount)]
space_radius = transmiter_z*gear_step/(2*pi) / sin(transmiter_angle) + transmiter_washer_thickness
# interior shell
interior_top = revolution(Wire([
out_gear['axis'].origin + bearing_radius*X - bearing_radius*0.15*X,
out_gear['axis'].origin + bearing_radius*X,
out_gear['axis'].origin + bearing_radius*X - bearing_height*Z,
out_gear['axis'].origin + bearing_radius*X - bearing_height*1.2*Z + bearing_height*0.2*X,
out_gear['axis'].origin + space_radius*X - bearing_height*1.2*Z,
]).flip().segmented())
interior_out = (
interior_top
+ interior_top.transform(scaledir(Z,-1)).flip()
).finish()
r = length(transmiter['gear']['axis'].origin)
h = transmiter_rint
w = r + transmiter_washer_thickness*1.5
interior_transmision = revolution(Wire([
2*r*X + h*Z,
w*X + h*Z,
w*X + 2.5*h*Z,
w*X + 2.5*h*Z + h*(X+Z),
]).flip().segmented(),
Axis(O,X))
interior_transmisions = repeat(interior_transmision, transmiter_amount, rotate(2*pi/transmiter_amount, Z))
interior_space = union(
icosphere(O, space_radius),
cylinder(
out_gear['axis'].origin,
out_gear['axis'].origin*vec3(1,1,-1),
bearing_radius*1.05,
fill=False),
).flip()
interior_shell = union(interior_space, interior_out)
interior = union(interior_shell, interior_transmisions.group({0,1})) + interior_transmisions.group({2,3,4,5})
# asymetrical exterior shell
exterior_shell = inflate(interior_shell.flip(), shell_thickness)
# interface shape and botls
mount_thickness = 4*shell_thickness
neighscrew = 1.4*dscrew
rscrew = stceil(max(bearing_radius + 1.2*neighscrew, space_radius + dscrew*0.5 + shell_thickness*0.5), precision=0.1)
a = out_gear['axis'].origin + rscrew*X + shell_thickness*Z
b = a - mount_thickness*Z
bolt = bolt(a, b, dscrew, False, False)
bolts = [bolt.transform(rotate((i+0.5)*2*pi/8, Z)) for i in range(8)]
screw_support = revolution(wire(
Wire([
project(a, Z),
a + 1.3*dscrew*X,
]).segmented(),
Softened([
b + 1.3*dscrew*X,
project(b, Z) + space_radius*X,
space_radius*X,
]),
))
slot = cylinder(b+1e-2*Z, noproject(b, Z), neighscrew).flip()
slots = mesh.mesh([slot.transform(b.pose) for b in bolts])
head = intersection(screw_support, slots)
l = length(transmiter['gear']['axis'].origin) + 2*transmiter_rint
transmiter_back = revolution(Wire([
l*Z,
l*Z + transmiter_rint*1.5*X,
rotate(pi/6, Y) * space_radius*Z,
]).segmented()) .transform(rotate(pi/2, Y))
exterior_shell = union(
exterior_shell,
mesh.mesh([
transmiter_back.transform(rotate(i*2*pi/transmiter_amount, Z))
for i in range(transmiter_amount) ]))
exterior = union(head, exterior_shell)
interior.mergeclose()
part = intersection(interior, exterior).finish()
# part decomposition of the shell
split = revolution(Wire([
a + 2*neighscrew*X - 2*shell_thickness*Z,
project(a, Z) + bearing_radius*X + 2*shell_thickness*X - 2*shell_thickness*Z,
project(a, Z) + bearing_radius*X - mount_thickness*Z,
project(a, Z) + bearing_radius*X - mount_thickness*Z - shell_thickness*(X+Z),
]).segmented()).finish()
part_top = intersection(part, split)
part_bot = intersection(part, split.flip())
# annotations
transmiters[0]['bearing']['annotations'] = [
note_radius(transmiter['bearing']['part'].group(1)),
note_distance_planes(*transmiter['bearing']['part'].group(2).islands()),
]
output1['bearing']['annotations'] = [
note_radius(output1['bearing']['part'].group(2)),
note_radius(output1['bearing']['part'].group(9)),
note_distance_planes(output1['bearing']['part'].group(0), output1['bearing']['part'].group(3)),
]
annotations = [
note_distance(O, a, project=X, offset=15*Z),
]
show([
part_top, part_bot,
output1, output2, transmiters,
bolts,
])