bluemira.structural.symmetry

Symmetry boundary conditions

Classes

CyclicSymmetry

Utility class for implementing a cyclical symmetry boundary condition in

Module Contents

class bluemira.structural.symmetry.CyclicSymmetry(geometry: bluemira.structural.geometry.Geometry, cycle_sym_ids: list[list[int], list[int]])

Utility class for implementing a cyclical symmetry boundary condition in FiniteElementModel

Parameters:

• geometry (bluemira.structural.geometry.Geometry) – The geometry upon which to apply the cyclic symmetry

• cycle_sym_ids (list[list[int], list[int]]) – The list of left and right DOF ids

geometry

cycle_sym_ids

t_block = None

t_matrix = None

left_nodes = None

right_nodes = None

theta = None

n = None

axis = None

selections = None

_prepare_cyclic_symmetry()

_build_t_matrix(n)

apply_cyclic_symmetry(k: numpy.ndarray, p: numpy.ndarray) → tuple[numpy.ndarray, numpy.ndarray]

Apply the cyclic symmetry condition to the matrices.

Will simply return k and p if no cyclic symmetry is detected in the FiniteElementModel.

Parameters:

• k (numpy.ndarray) – The geometry stiffness matrix

• p (numpy.ndarray) – The model load vector

Returns:

• k – The partitioned block stiffness matrix

• p – The partitioned block load vector

Return type:

tuple[numpy.ndarray, numpy.ndarray]

reorder(u_original: numpy.ndarray) → numpy.ndarray

Re-order the displacement vector correctly, so that the deflections may be applied to the correct nodes.

If not cyclic symmetry is detected in the FiniteElementModel, simply returns u_original.

Parameters:

u_original (numpy.ndarray) – The original deflection vector

Return type:

The re-ordered deflection vector