pyva.models.FEM

class pyva.models.FEM(ID, mesh, modes, damping_loss=0.01, **kwargs)

Bases: object

The FEM class is dedictated to deterministic discrete systems. This class manages the degrees of freedom of such systems and the matrix that describes the system.

This class is the least mature class in this toolbox, because it was mainly created fot training purpose and the examples from the book.

__init__(ID, mesh, modes, damping_loss=0.01, **kwargs)

Constructor of finite element models (FEM)

Parameters:

  • ID (int) – identifier of FE model.

  • mesh (mesh) – mesh of FE model.

  • modes (shape) – modes of the FE model

  • damping_loss (Signal or float, optional) – global damping loss of FE model. The default is 0.01.

  • **kwargs (Arbitrary keyword arguments) – DESCRIPTION.

Return type:

None.

Methods

__init__(ID, mesh, modes[, damping_loss])

Constructor of finite element models (FEM)

add_load(load)

Adds load to FEM objects

add_result(result)

Add result to FE model

damping_loss(omega)

Damping loss of SEA systemns

modal_dof(doftype)

provides modal degress of freedom from mode set

modal_dynamic_stiffness_diag(omega)

Diagonal dynamic stiffness matrix in modal coordinates

modal_force(key)

Calculates forve vector in modal coordinates

modal_matrix_to_space(mat_mod)

Transforms modal matrices to grid space

modal_vec_to_space(q_mod)

Transformation of model space to grid space

plot([nfig, loadID])

plot results

rms_vec_from_modal(q_mod[, ID])

Calculates rms average over all nodes from modal result

rms_vec_from_modal_cpsq(q_mod[, ID, sqq_type])

Calculates rms average over all nodes from csd result

solve()

solver of FE model - not yet implemented

Attributes

loads

Property method for loads

results

Property method for results
add_load(load)

Adds load to FEM objects

Parameters:

load (dict or Load) – load of FE model

Return type:

None.

add_result(result)

Add result to FE model

Parameters:

result (Signal) – result from solve.

Return type:

None.

damping_loss(omega)

Damping loss of SEA systemns

Parameters:

omega (ndarray) – angular frequency

property loads

Property method for loads

Returns:

load of FE model.

Return type:

laod

modal_dof(doftype)

provides modal degress of freedom from mode set

Parameters:

doftype (DOFtype) – type multiplier e.g. displacment.

Returns:

modal degrees of freedom.

Return type:

DOF

modal_dynamic_stiffness_diag(omega)

Diagonal dynamic stiffness matrix in modal coordinates

Parameters:

omega (float) – angular frequency.

Returns:

om_n2 – diagonal of modal dynamic stiffness.

Return type:

ndarray

modal_force(key)

Calculates forve vector in modal coordinates

Parameters:

key (int) – loadID.

Returns:

modal force vector.

Return type:

Signal

modal_matrix_to_space(mat_mod)

Transforms modal matrices to grid space

Parameters:

q_mod (mC.Signal) – Vector in modal coordinates.

Returns:

Vector in mesh coordinates.

Return type:

mC.Signal

modal_vec_to_space(q_mod)

Transformation of model space to grid space

Parameters:

q_mod (mC.Signal) – Vector in modal coordinates.

Returns:

Vector in mesh coordinates.

Return type:

mC.Signal

plot(nfig=1, loadID=1, **kwargs)

plot results

Parameters:

  • nfig (int, optional) – figure identifier. The default is 1.

  • loadID (int, optional) – identifier of load case. The default is 1.

  • **kwargs (dict) – Arbitrary keyword arguments passed to plot method of Signal

Return type:

None.

property results

Property method for results

Returns:

results of FEmoodel.

Return type:

Signal

rms_vec_from_modal(q_mod, ID=0)

Calculates rms average over all nodes from modal result

Parameters:

  • q_mod (Signal) – modal vevtor.

  • ID (int, optional) – result ID of output. The default is 0.

Returns:

rms avrage of result.

Return type:

Signal

rms_vec_from_modal_cpsq(q_mod, ID=0, sqq_type=DOFtype(typestr='general'))

Calculates rms average over all nodes from csd result

Parameters:

  • q_mod (ndarray) – csd result.

  • ID (int, optional) – ID for ouput Signal. The default is 0.

  • sqq_type (DOFtype, optional) – type of result, eg. ‘displacement’. The default is dof.DOFtype().

Returns:

rms average of result, dofs

Return type:

ndarray, DOF

solve()

solver of FE model - not yet implemented

Returns:

DESCRIPTION.

Return type:

str