class Box(ComplexSection):
dimensions = Dimensions(a=None, b=None, ta=None, tb=None)
sections = [Polygon]
def check_dimensions(self, dims):
if dims.a <= 0:
raise ValueError("Invalid dimensions: a <= 0")
if dims.b <= 0:
raise ValueError("Invalid dimensions: b <= 0")
if dims.ta <= 0:
raise ValueError("Invalid dimensions: ta <= 0")
if dims.tb <= 0:
raise ValueError("Invalid dimensions: tb <= 0")
if dims.a <= 2 * dims.tb:
raise ValueError("Invalid dimensions: a <= 2*tb")
if dims.b <= 2 * dims.ta:
raise ValueError("Invalid dimensions: b <= 2*ta")
def update_sections(self):
ao = 0.5 * self.a
ai = 0.5 * (self.a - 2 * self.tb)
bo = 0.5 * self.b
bi = 0.5 * (self.b - 2 * self.ta)
polygon = self.sections[0]
polygon[:] = [(-ao, -bo), (ao, -bo), (ao, bo), (-ao, bo), (-ao, -bi),
(-ai, -bi), (-ai, bi), (ai, bi), (ai, -bi), (-ao, -bi)]
class Ring(ComplexSection):
sections = [CircularSector]
dimensions = Dimensions(ro=None, ri=None)
def update_sections(self):
self.sections[0].set_dimensions(ro=self.ro, ri=self.ri, phi=2 * pi)
def check_dimensions(self, dims):
super(Ring, self).check_dimensions(dims)
class BaseFillet(ComplexSection):
sections = [Triangle, CircularSegment]
dimensions = Dimensions(r=None, phi=None)
densities = [1.0, -1.0]
def check_dimensions(self, dims):
if dims.r <= 0:
raise ValueError("Invalid dimensions: r <= 0")
if dims.phi <= 0:
raise ValueError("Invalid dimensions: phi <= 0")
if dims.phi == pi:
raise ValueError("Invalid dimensions: phi = pi")
if dims.phi >= 2 * pi:
raise ValueError("Invalid dimensions: phi >= 2*pi")
def update_sections(self):
def sign(x):
return x / abs(x)
alpha = self.phi / 2
beta = abs(pi - self.phi)
theta = pi * (self.phi < pi)
a = self.r * cos(alpha) / sin(alpha)
b = self.r * cos(alpha)**2 / sin(alpha) * sign(a)
c = self.r * cos(alpha)
d = self.r / sin(alpha) * sign(a)
triangle = self.sections[0]
triangle[:] = [(0, 0), (b, c), (b, -c)]
segment = self.sections[1]
segment.set_dimensions(r=self.r, phi=beta)
segment.set_position(d1=d, d2=0, theta=theta)
if self.phi > pi:
self.densities = [-d for d in self.__class__.densities]
else:
self.densities = self.__class__.densities[:]
self.set_density(self.density)
class Wedge(ComplexSection):
sections = [CircularSector]
dimensions = Dimensions(r=None, phi=None)
def update_sections(self):
self.sections[0].set_dimensions(ro=self.r, ri=0, phi=self.phi)
class Circle(ComplexSection):
dimensions = Dimensions(r=None)
sections = [CircularSector]
def update_sections(self):
self.sections[0].set_dimensions(ri=0, ro=self.r, phi=2 * pi)