import matplotlib.cm as cm
import numpy as np
from optimization_tools.DOE import DOE
coefficients = np.array([0, 0, 0, 0])
beam_properties = properties()
bc = boundary_conditions(load=np.array([
[0, 0],
]))
analytical_solution = bc.concentrated_load[0][0] / (beam_properties.young *
beam_properties.area)
mesh = mesh_1D(alpha=[
1 + analytical_solution, 1 + analytical_solution, 1 + analytical_solution
],
alpha_nodes=[0, .5, 1],
mesh_n=10)
curve_parent = poly(coefficients)
curve_child = poly(coefficients)
beam = structure(curve_parent, curve_child, mesh, beam_properties, bc)
strain = beam.strain()
stress = beam.stress()
n = 10
problem = DOE(levels=n, driver='Full Factorial')
problem.add_variable('a1', lower=0, upper=.001, type=float)
problem.add_variable('a2', lower=0, upper=.001, type=float)
problem.define_points()
np.set_printoptions(precision=5)
# Results from Abaqus
abaqus_data = pickle.load(open('neutral_line.p', 'rb'))
# Beam properties
bp = properties()
bc = boundary_conditions(load=np.array([
[0, -1],
]))
EB_solution = bc.concentrated_load[0][1]/(6*bp.young*bp.inertia) * \
np.array([0, 0, 3, -1])
mesh = mesh_1D(mesh_n=11, alpha=[1, 1], alpha_nodes=[0, 1])
curve_parent = poly(a=[0, 0, 0, 0])
curve_child = poly(a=EB_solution)
beam = structure(curve_parent, curve_child, mesh, bp, bc)
beam.calculate_position()
eulerBernoulle = beam.r_c
# Find stable solution
bounds = np.array(((-0.02, 0.02), (-0.02, 0.02)))
x, fun = beam.find_stable(beam.g_c.a[2:4],
bounds=bounds,
input_type='Geometry',
loading_condition='plane_stress',
input_function=input_function)
abaqus_primary['U'][:, 1],
)))
abq_x, abq_y, abq_u1, abq_u2 = abaqus_data.T
abq_y = -abq_y + .005
abq_u2 = -abq_u2
# Convert log strains into engineering strain
abaqus_secondary['LE11'] = np.exp(np.array(abaqus_secondary['LE11'])) - 1
abaqus_secondary['LE12'] = np.exp(np.array(abaqus_secondary['LE12'])) - 1
abaqus_secondary['LE22'] = np.exp(np.array(abaqus_secondary['LE22'])) - 1
coefficients = np.array([0, 0, 0, 0])
bp = properties()
bc = boundary_conditions(load=np.array([[0, -1]]))
analytical_solution = bc.concentrated_load[0][1]/(6*bp.young*bp.inertia) * \
np.array([-1, 3, 0, 0])
mesh = mesh_1D(mesh_n=10)
curve_parent = poly(a=[0, 0, 0, 0])
curve_child = poly(a=analytical_solution)
beam = structure(curve_parent, curve_child, mesh, bp, bc)
beam.calculate_position()
strain = beam.strain()
stress = beam.stress(loading_condition='plane_stress')
# Plot beam results
plt.figure()
u = beam.u()
u1 = beam.u(diff='x1')
u2 = beam.u(diff='x2')
plt.plot(beam.r_p[0], beam.r_p[1], label='parent')
plt.scatter(beam.r_p[0], beam.r_p[1], label='parent')