pyHarm.KinematicConditions.BaseProjection¶

Classes¶

BaseProjection

Kinematic condition that imposes base projection between two substructures.

Module Contents¶

class pyHarm.KinematicConditions.BaseProjection.BaseProjection(nh: int, nti: int, name: str, data: dict, CS: pyHarm.CoordinateSystem.CoordinateSystem)¶

Bases: pyHarm.KinematicConditions.ABCKinematic.ABCKinematic

Kinematic condition that imposes base projection between two substructures. A linear transformation is imposed through base projection matrix in between a master substructure and the slave substructure. Residual contribution computed on the slave substructure is projected back onto the master substructure.

factory_keyword¶

keyword that is used to call the creation of this class in the system factory.

Type:: str

default¶

dictionary containing the default parameters for the kinematic condition.

Type:: dict

phi¶

transformation matrix that goes from master base to slave base.

Type:: np.ndarray

phi_inv¶

transpose of phi

Type:: np.ndarray

factory_keyword: str = 'BaseProjection'¶

default¶

__post_init__()¶

generateIndices(expl_dofs: pandas.DataFrame)¶

From the explicit dof DataFrame, generates the index of dofs concerned by the kinematic condition.

Parameters:: expl_dofs (pd.DataFrame) – explicit dof DataFrame from the studied system.

indices¶

index of the dofs that the kinematic conditions needs.

Type:: np.ndarray

Pdir¶

a slice of first dimension is a transformation matrix to a direction in local coordinate system.

Type:: np.ndarray

Pslave¶

selection array that selects the slave dofs of the kinematic condition.

Type:: np.ndarray

Pmaster¶

selection array that selects the master dofs of the kinematic condition.

Type:: np.ndarray

complete_x(x)¶

Returns a vector x_add of same size of x that completes the vector of displacement x = x + x_add such that the kinematic condition is verified.

Parameters:

x (np.ndarray) – displacement vector.
om (float) – angular frequency.

Returns:

vector of displacement to add to the displacement vector in order to impose the kinematic condition.

Return type:

(np.ndarray)

complete_R(R, x)¶

Computes the transfer of residual of the kinematicaly constrained dofs with respect to the displacement.

Parameters:

R (np.ndarray) – residual vector.
x (np.ndarray) – displacement vector.

Returns:

vector of residual contributions to add to the residual vetor in order to impose the kinematic condition.

Return type:

(np.ndarray)

complete_J(Jx, Jom, x)¶

Computes the transfer of jacobian of the kinematicaly constrained dofs with respect to the displacement.

Parameters:

Jx (np.ndarray) – jacobian matrix with respect to displacement.
Jom (np.ndarray) – jacobian matrix with respect to angular frequency.
x (np.ndarray) – displacement vector.

Returns:

tuple containing the jacobians contributions to add to the jacobians in order to impose the kinematic condition.

Return type:

(tuple[np.ndarray,np.ndarray])

adim(lc, wc)¶

Using adim parameters, modifies the kinematic conditions accordingly.

Parameters:

lc (float) – characteristic length.
wc (float) – characteristic angular frequency.