pyHarm.Elements.SubstructureMatrixElements.GeneralOrderMatrixElement

Classes

GOMatrix

This is the abstract class ruling the element class.

Functions

GOMatrixResidual(x, om, kronMat, dom)
GOMatrixJacobian(x, om, kronMat, dom)

Module Contents

pyHarm.Elements.SubstructureMatrixElements.GeneralOrderMatrixElement.GOMatrixResidual(x, om, kronMat, dom)

pyHarm.Elements.SubstructureMatrixElements.GeneralOrderMatrixElement.GOMatrixJacobian(x, om, kronMat, dom)

class pyHarm.Elements.SubstructureMatrixElements.GeneralOrderMatrixElement.GOMatrix(nh: int | list[int], nti: int, name: str, data: dict, CS: pyHarm.CoordinateSystem.CoordinateSystem, dynop: dict[str, numpy.ndarray] | None = None)

Bases: pyHarm.Elements.SubstructureMatrixElements.MatrixElement.MatrixElement

This is the abstract class ruling the element class.

An element consists in an elementary contribution to the residual equations.

Parameters:

• nh (int) – number of harmonics.

• nti (int) – number of time steps.

• name (str) – name given to the kinematic condition.

• data (dict) – dictionary containing all the definition information of the kinematic condition.

• CS (CoordinateSystem) – local or global coordinate system the kinematic condition is defined on.

flag_nonlinear

if True, the element is nonlinear.

Type:

bool

flag_AFT

if True, the element requires an alternating frequency/time domain procedure for computing residuals.

Type:

bool

flag_extforcing

if True, the element is an external forcing.

Type:

bool

flag_DLFT

if True, the element uses the dynamic Lagrangian method for computing the residuals.

Type:

bool

flag_adim

if True, the element is adimentioned.

Type:

bool

nh

number of harmonics.

Type:

int

nti

number of time steps.

Type:

int

D

Dynamic operators containing inverse discrete Fourier transform and discrete Fourier transform.

Type:

dict[np.ndarray,np.ndarray]

nabla

Derivation operator.

Type:

np.ndarray

factory_keyword = 'GOMatrix'

default_GOMatrix

_generateMatrices(data)

adim(lc, wc)

Modifies the element properties according to the characteristic length and angular frequency.

kronM

modified mass matrix according to the characteristic parameters.

Type:

float

kronC

modified damping matrix according to the characteristic parameters.

Type:

float

kronG

modified gyroscopic matrix according to the characteristic parameters.

Type:

float

kronK

modified rigidity matrix according to the characteristic parameters.

Type:

float

flag_adim

True if equations are to be adimensionalized.

Type:

bool

evalResidual(xg, om)

Computes the residual.

Parameters:

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

• om (float) – angular frequency value.

Returns:

residual vector.

Return type:

np.ndarray

evalJacobian(xg, om)

Computes the jacobians.

Parameters:

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

• om (float) – angular frequency value.

Returns:

Jacobian with respect to displacement. np.ndarray: Jacobian with respect to angular frequency.

Return type:

np.ndarray