stiffness = assembly_quads_stress_strain(nodes=nodes,
elements=elements,
thickness=1.0,
elasticity_matrix=d)
print("Evaluating force...")
def force_func(node):
if abs(node[0]) < 0.0000001:
return array([0.0, -q / m])
else:
return array([0.0, 0.0])
force = nodal_force(nodes=nodes, freedom=2, force_function=force_func)
print("Evaluating boundary conditions...")
for i in range(len(nodes)):
if abs(l - nodes[i, 0]) < 0.0000001:
assembly_initial_value(stiffness, force, 2 * i, 0.0)
assembly_initial_value(stiffness, force, 2 * i + 1, 0.0)
print("Solving a system of linear equations")
x = spsolve(stiffness, force)
u = x[0::2]
v = x[1::2]
print(min(u), " <= u <= ", max(u))
print(min(v), " <= Y <= ", max(v))
draw_vtk(nodes, elements, u, title="u", show_labels=True)
draw_vtk(nodes, elements, v, title="v", show_labels=True)
return array([0.0, 0.0, q, 0.0, 0.0])
force = volume_force_quads(nodes=nodes,
elements=elements,
thickness=1.0,
freedom=freedom,
force_function=force_func,
gauss_order=3)
print("Evaluating boundary conditions...")
for i in range(len(nodes)):
if (abs(nodes[i, 0] - 0) <
0.0000001) or (abs(nodes[i, 0] - a) < 0.0000001) or (
abs(nodes[i, 1] - 0) < 0.0000001) or (abs(nodes[i, 1] - a)
< 0.0000001):
assembly_initial_value(stiffness, force, freedom * i, 0.0)
assembly_initial_value(stiffness, force, freedom * i + 1, 0.0)
assembly_initial_value(stiffness, force, freedom * i + 2, 0.0)
assembly_initial_value(stiffness, force, freedom * i + 3, 0.0)
assembly_initial_value(stiffness, force, freedom * i + 4, 0.0)
print("Solving a system of linear equations")
x = spsolve(stiffness, force)
w = x[2::freedom]
theta_x = x[3::freedom]
theta_y = x[4::freedom]
print(min(w), " <= w <= ", max(w))
print(min(theta_x), " <= theta x <= ", max(theta_x))
print(min(theta_y), " <= theta y <= ", max(theta_y))