pyHarm.KinematicConditions.GODisplacement

Classes

GODisplacement

Kinematic condition that imposes a displacement or any time derivative of displacement to a specific dof.

Module Contents

class pyHarm.KinematicConditions.GODisplacement.GODisplacement(nh: int, nti: int, name: str, data: dict, CS: pyHarm.CoordinateSystem.CoordinateSystem, dynop: dict[str, numpy.ndarray] | None = None)

Bases: pyHarm.KinematicConditions.ABCKinematic.ABCKinematic

Kinematic condition that imposes a displacement or any time derivative of displacement to a specific dof.

amp

amplitude to impose.

Type:

float

ho

harmonic loaded.

Type:

int

dto

order of the time derivative.

Type:

int

phi

phase lag to impose on the harmonic (0 = pure cosinus loading).

Type:

float

factory_keyword: str = 'GOdisplacement'

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

Type:

str

default

dictionary containing the default parameters of the kinematic condition

Type:

dict

__post_init__()
generateIndices(expl_dofs: pandas.DataFrame)

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

Parameters:

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

indices

index of the dofs that the connector 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 connector.

Type:

np.ndarray

Pmaster

selection array that selects the master dofs of the connector.

Type:

np.ndarray

_loadingdofs(expl_dofs: pandas.DataFrame)
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 vetor in order to impose the kinematic condition.

Return type:

(np.ndarray)

dxbdxom(xg)

Computes the derivative of the kinematicaly constrained dofs with respect to the displacement.

Parameters:

xg (np.ndarray) – full size displacement vector.

Returns:

vector of displacement contributions to add to the displacement vetor 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.