Source code for sigmaepsilon.solid.fourier.loads.lineload
from functools import partial
import numpy as np
from numpy import ndarray
from ..preproc import rhs_line_const, rhs_line_1d_mc, rhs_line_2d_mc
from ..protocols import NavierProblemProtocol
from .loads import LoadCase, Float1d, Float2d
from ..utils import is_scalar
from ..config import Config
__all__ = ["LineLoad"]
[docs]
class LineLoad(LoadCase[Float1d | Float2d, Float1d]):
"""
A class to handle loads over lines for both beam and plate problems.
Parameters
----------
domain: :class:`~sigmaepsilon.solid.fourier.loads.Float1d` | :class:`~sigmaepsilon.solid.fourier.loads.Float2d`
The point of application as an 1d iterable for a beam, a 2d iterable
for a plate. In the latter case, the first row is the first point, the
second row is the second point.
value: :class:`~sigmaepsilon.solid.fourier.loads.Float1d`
Load intensities for each dof. The order of the dofs for a beam
is :math:`[F, M]`, for a plate it is :math:`[F, M_x, M_y]`.
num_mc: int, Optional
The number of sampling points for Monte Carlo integration.
If no value is provided, the global config value is used.
.. hint::
For a detailed explanation of the sign conventions, refer to
:ref:`this <sign_conventions>` section of the theory guide.
"""
[docs]
def rhs(self, problem: NavierProblemProtocol) -> ndarray:
"""
Returns the coefficients as a NumPy array.
Parameters
----------
problem: :class:`~sigmaepsilon.solid.fourier.problem.NavierProblem`
A problem the coefficients are generated for. If not specified,
the attached problem of the object is used. Default is None.
Returns
-------
numpy.ndarray
2d float array of shape (H, 3), where H is the total number
of harmonic terms involved (defined for the problem).
"""
domain = np.array(self.domain, dtype=float)
values = self.value
n_MC = self._num_mc or Config.NUM_MC_SAMPLES_PLATE
if problem.model_type.is_2d:
assert (
len(domain.shape) == 2
), f"Invalid shape {domain.shape} for the domain."
assert len(values) == 3, "Invalid shape for load intensities."
evaluator = partial(rhs_line_2d_mc, n_MC=n_MC)
elif problem.model_type.is_1d:
assert (
len(domain.shape) == 1
), f"Invalid shape {domain.shape} for the domain."
assert (
len(values) == 2
), f"Invalid shape {values.shape} for load intensities."
if is_scalar(values[0]) and is_scalar(values[1]):
values = np.array(values, dtype=float)
evaluator = rhs_line_const
else:
evaluator = partial(rhs_line_1d_mc, n_MC=n_MC)
else: # pragma: no cover
raise NotImplementedError
return evaluator(problem.size, problem.shape, domain, values)