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)¶

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__()¶

_loadingdofs()¶

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.