def bracket_installed(face_length, hole_radius, mount_radius, mount_offset,
mass):
face_moment = _plate_with_hole(face_length, hole_radius, mass / 2.0)
r1 = (mount_radius**2 + (mount_offset + face_length / 2.0)**2)**0.5
r2 = ((mount_radius + face_length / 2.0)**2 + mount_offset**2)**0.5
m1 = mp.parallel_axis(face_moment, r1, mass / 2.0)
m2 = mp.parallel_axis(face_moment, r2, mass / 2.0)
return m1 + m2
def m4_nut_orthogonal_axis_end(radius, offset):
moment = ma.hex_nut_orthogonal_axis_end(mc.M4_NUT_OD / 2.0,
mc.M4_NUT_OD / 2.0,
mc.M4_NUT_ID / 2.0,
mc.M4_NUT_LENGTH, mc.M4_NUT_MASS)
return mp.parallel_axis(moment, (radius**2 + offset**2)**0.5,
mc.M4_NUT_MASS)
def bearing_orthogonal_axis_center(radius):
moment = mp.cylinder_hollow_orthogonal_axis_center(mc.BEARING_ID,
mc.BEARING_OD,
mc.BEARING_LENGTH,
mc.BEARING_MASS)
return mp.parallel_axis(moment, radius + mc.BEARING_LENGTH / 2.0,
mc.BEARING_MASS)
def bolt_installed_on_axis(min_radius, max_radius, head_radius, head_height,
plate_height, shaft_radius, shaft_length,
mount_radius, mount_offset, mass):
density = bolt_density(min_radius, max_radius, head_radius, head_height,
plate_height, shaft_radius, shaft_length, mass)
head_volume = bolt_head_volume(min_radius, max_radius, head_radius,
head_height)
head_mass = head_volume * density
head_moment = bolt_head_on_axis(min_radius, max_radius, head_radius,
head_mass)
plate_volume = math.pi * head_radius**2 * plate_height
plate_mass = plate_volume * density
plate_moment = mp.cylinder_solid_on_axis(head_radius, plate_mass)
shaft_volume = math.pi * shaft_radius**2 * shaft_length
shaft_mass = shaft_volume * density
shaft_moment = mp.cylinder_solid_on_axis(shaft_radius, shaft_mass)
total_moment = head_moment + plate_moment + shaft_moment
distance = (mount_radius**2 + mount_offset**2)**0.5
return mp.parallel_axis(total_moment, distance, mass)
def square_tube_on_axis(side, thickness, mass):
radius = (side - thickness) / 2.0
side_1 = side
side_2 = side - 2.0 * thickness
mass_1 = (mass / 2.0) * (side_1 / side_2)
mass_2 = (mass / 2.0) * (side_2 / side_1)
moment_1 = mp.cuboid_solid_face_centered(side_1, thickness, mass_1)
moment_2 = mp.cuboid_solid_face_centered(side_2, thickness, mass_2)
moment_1 = mp.parallel_axis(moment_1, radius, mass_1)
moment_2 = mp.parallel_axis(moment_2, radius, mass_2)
return 2.0 * (moment_1 + moment_2)
def bolt_installed_orthogonal_axis_center(min_radius, max_radius, head_radius,
head_height, plate_height,
shaft_radius, shaft_length,
mount_radius, mount_offset, mass,
head_out):
density = bolt_density(min_radius, max_radius, head_radius, head_height,
plate_height, shaft_radius, shaft_length, mass)
head_volume = bolt_head_volume(min_radius, max_radius, head_radius,
head_height)
head_mass = head_volume * density
head_moment = bolt_head_orthogonal_axis_center(min_radius, max_radius,
head_radius, head_height,
head_mass)
head_distance = ((mount_radius + plate_height + head_height / 2.0)**2 +
mount_offset**2)**0.5
if not head_out:
head_distance = ((mount_radius - plate_height - head_height / 2.0)**2 +
mount_offset**2)**0.5
head_moment = mp.parallel_axis(head_moment, head_distance, head_mass)
plate_volume = math.pi * head_radius**2 * plate_height
plate_mass = plate_volume * density
plate_moment = mp.cylinder_solid_orthogonal_axis_center(
head_radius, plate_height, plate_mass)
plate_distance = ((mount_radius + plate_height / 2.0)**2 +
mount_offset**2)**0.5
if not head_out:
plate_distance = ((mount_radius - plate_height / 2.0)**2 +
mount_offset**2)**0.5
plate_moment = mp.parallel_axis(plate_moment, plate_distance, plate_mass)
shaft_volume = math.pi * shaft_radius**2 * shaft_length
shaft_mass = shaft_volume * density
shaft_moment = mp.cylinder_solid_orthogonal_axis_center(
shaft_radius, shaft_length, shaft_mass)
shaft_distance = ((mount_radius - shaft_length / 2.0)**2 +
mount_offset**2)**0.5
if not head_out:
shaft_distance = ((mount_radius + shaft_length / 2.0)**2 +
mount_offset**2)**0.5
shaft_moment = mp.parallel_axis(shaft_moment, shaft_distance, shaft_mass)
return head_moment + plate_moment + shaft_moment
def square_tube_orthogonal_axis_end(side, thickness, length, mass):
radius = (side - thickness) / 2.0
side_1 = side
side_2 = side - 2.0 * thickness
mass_1 = (mass / 2.0) * (side_1 / side_2)
mass_2 = (mass / 2.0) * (side_2 / side_1)
moment_1 = mp.cuboid_solid_face_major(length, side_1, mass_1)
moment_2 = mp.cuboid_solid_face_major(length, thickness, mass_2)
moment_2 = mp.parallel_axis(moment_2, radius, mass_2)
return 2.0 * (moment_1 + moment_2)
def m4_nut_on_axis(radius):
moment = ma.hex_nut_on_axis(mc.M4_NUT_OD / 2.0, mc.M4_NUT_OD / 2.0,
mc.M4_NUT_ID, mc.M4_NUT_MASS)
return mp.parallel_axis(moment, radius, mc.M4_NUT_MASS)
def hall(radius):
moment = mp.cuboid_solid_face_centered(mc.HALL_L, mc.HALL_D, mc.HALL_MASS)
distance = ((radius + mc.HALL_D / 2.0)**2 +
(mc.HALL_L / 2.0 - mc.HALL_AXIS_CENTER)**2)**0.5
return mp.parallel_axis(moment, distance, mc.HALL_MASS)