pyHarm.Analysis.Linear_Analysis¶

Classes¶

Linear_Analysis

Modal analysis and linear forced response analysis.

Module Contents¶

class pyHarm.Analysis.Linear_Analysis.Linear_Analysis(inputData: dict, System: pyHarm.Systems.ABCSystem.ABCSystem)¶

Bases: pyHarm.Analysis.ABCAnalysis.ABCAnalysis

Modal analysis and linear forced response analysis.

Performs a linear modal analysis and then proceeds to a linear FRF by using mode superposition

system¶

ABCSystem associated with the analysis.

Type:: ABCSystem

analysis_options¶

input dictionary completed with the default values if keywords are missing.

Type:: dict

flag_print¶

if True, prints a message after each Solve method.

Type:: bool

SolList¶

list of SystemSolution stored.

Type:: list[SystemSolution]

eigensol¶

output dictionary containing the eigenfrequencies and the eigenvectors

Type:: dict

factory_keyword: str = 'linear_analysis'¶

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

Type:: str

name = 'Linear modal and FRF analysis'¶

default¶

default dictionary for the analysis.

Type:: dict

system¶

analysis_options¶

flag_print¶

SolList = []¶

eigensol¶

initialise()¶

Retrieves the mass and stiffness matrix of the assembled system

Returns:: full stiffness matrix of the system M_global (np.ndarray): full mass matrix of the system
Return type:: K_global (np.ndarray)

modal_analysis(K, M)¶

Eigenvalue analysis leading to the eigenfrequencies and the normalized right eigenvectors

Parameters:

K (np.ndarray) – full stiffness matrix of the system
M (np.ndarray) – full mass matrix of the system

Returns:

eigenfrequencies in rad/s phi (np.ndarray): normalized to unity right eigenvectors

Return type:

omega (np.ndarray)

compute_linear_FRF(K, M, phi)¶

Linear frequency response function by means of mode superposition

Parameters:

K (np.ndarray) – full stiffness matrix of the system
M (np.ndarray) – full mass matrix of the system
phi (np.ndarray) – normalized to unity right eigenvectors

Solve(x0=None, **kwargs)¶: Solving step of the analysis.

makeStep(K, M)¶

Makes a whole step of the analysis.

Parameters:

K (np.ndarray) – full stiffness matrix of the system
M (np.ndarray) – full mass matrix of the system

Returns:

eigenfrequencies in rad/s phi (np.ndarray): normalized to unity right eigenvectors

Return type:

omega (np.ndarray)