Source code for felupe.tools._post
# -*- coding: utf-8 -*-
"""
This file is part of FElupe.
FElupe is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
FElupe is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FElupe. If not, see <http://www.gnu.org/licenses/>.
"""
import numpy as np
from scipy.interpolate import interp1d
from scipy.sparse import issparse
from ..math import cross
[docs]
def force(field, forces, boundary):
"Evaluate the force vector sum on points of a boundary."
if issparse(forces):
forces = forces.toarray()
forces_first_field = np.split(forces, field.offsets)[0]
dim = field[0].dim
return ((forces_first_field.reshape(-1, dim))[boundary.points]).sum(axis=0)
[docs]
def moment(field, forces, boundary, centerpoint=np.zeros(3)):
"Evaluate the moment vector sum on points of a boundary at a given center point."
if issparse(forces):
forces = forces.toarray()
dim = field[0].dim
centerpoint = np.asarray(centerpoint).reshape(1, -1)[:, :dim]
displacements = field[0].values
force = (np.split(forces, field.offsets)[0]).reshape(-1, dim)
moments = cross(
(field.region.mesh.points + displacements - centerpoint)[boundary.points].T,
force[boundary.points].T,
).T
return moments.sum(axis=0)
def curve(x, y, num=50):
"Interpolate a curve from given (x, y) data."
kind = [None, "linear", "quadratic", "cubic"][min(len(y), 4) - 1]
f = interp1d(x[: len(y)], y, kind=kind)
xt = x[: len(y)]
xx = np.linspace(xt[0], xt[-1], num=num)
return np.array([xt, y]), np.array([xx, f(xx)])