pyva.coupling.junctions.LineJunction

class pyva.coupling.junctions.LineJunction(systems, length, thetas)

Bases: Junction

Class for line junctions

systems

of systems

Type:: list or tuple

length

length of LineJunction

Type:: float

thetas

angles of connected plates

Type:: ndarray

__init__(systems, length, thetas)

Class contructor for LineJunction.

Parameters:

systems (list or tuple) – systems connected to junction
length (float) – length of LineJunction
thetas (list or tuple) – angles of connected plates

Methods

`CLF`(omega[, i_sys, i_in_wave, i_out_wave, ...])	coupling loss factor for line junctions
`CLF_angle`(omega[, i_sys, i_in_wave, ...])	coupling loss factor for wave fields of plates
`__init__`(systems, length, thetas)	Class contructor for LineJunction.
`get_wave_DOF`([ix])	Provides the local wave DOFs of the junction
`index`(ID)	Determines index of ID in system list of junction
`junction_matrix`(omega[, N_step, method])	Creates junction matrix for LineJunction (all upper triangular)
`kx`(omega, i_sys, i_in_wave, i_out_wave, Nstep)	wavenumber sampling for diffuse field intgegration.
`max_inplane_wavenumber`(omega)	Determine the maximal in-plane wavenumber of all connected plates
`modal_density`(omega)	Provides modal density
`total_radiation_stiffness_wavenumber`(omega, ...)	Calculates the total radiation stiffness of line junctions
`total_radiation_stiffness_wavenumber_LM`(...)	Calculate the total radiation stiffness of line junctions.
`transmission_wavenumber`(omega, wavenumber[, ...])	Calculates the transmission coefficient of line junctions
`transmission_wavenumber_LM`(omega, wavenumber)	Calculate the transmission coefficient of line junctions (LinearMatrix Version).
`transmission_wavenumber_diffuse`(omega[, ...])	Diffuse transmission coefficient for line junctions.
`transmission_wavenumber_langley`(omega, ...)	transmission coefficient based on the wave transionmssion method
`transmission_wavenumber_wave`(omega, wavenumber)	transmission coefficient assuming wave transformations for radiation stiffness calculations of blocked forces from langley are used

Attributes

`N`	Number of connected physical SEA systems (not wave_fields)
`N_wave`	Number of wave fields
`exc_DOF`	Provides 'excitation' DOFs of junction SEA matrix
`in_dofs`	Provides input wave dofs of junction for upper triangular input matrix
`out_dofs`	Provides output wave dofs of junction for upper triangular input matrix
`res_DOF`	Provides 'response' DOFs of junction SEA matrix

CLF(omega, i_sys=(0, 1), i_in_wave=(5, 5), i_out_wave=(5, 3), N_step=100, method='diffuse', Signal=True)

coupling loss factor for line junctions

This method calculates the CLF from system i_sys[0] to i_sys[1]. The wavefields that are considered are given by i_in_wave and i_out_wave. The CLF is calculated running through through both indexes

Parameters:

omega (ndarray or float) – angular frequency.
i_sys (ndarray,list or tuple, optional) – indexes of incident and radiating system. The default is (0,1).
i_in_wave (ndarray,list or tuple, optional) – DESCRIPTION. The default is (5,5).
i_out_wave (ndarray,list or tuple, optional) – DESCRIPTION. The default is (5,3).
N_step (int, optional) – Number of angle integration intervals. The default is 100.
method (str, 'diffuse' or 'langley', optional) – identifier for calculation method. The default is ‘diffuse’.
Signal (bool, optional) – Switch for Signal output. The default is True.

Raises:

ValueError – For non consistent arguments.

Returns:

coupling loss factor.

Return type:

ndarray or Signal

CLF_angle(omega, i_sys=(0, 1), i_in_wave=(5, 3), i_out_wave=(5, 3), N_step=200, method='diffuse', Signal=True)

coupling loss factor for wave fields of plates

This method uses the transmission_wave_number_diffuse function that is based in angular integration. The normal CLF method uses the wavenumber integration.

Options for i_in/out_wave are 0 : all 1 : longitudinal 2 : shear 3/4 : bending 5 : in-plane (longitudinal + shear)

Parameters:

omega (np.array) – angular frequency
L (double) – length of junction
i_sys (tupel of integer) – pair of in- and out systems. The default is (0,1), if (0,0) only tau between waves is considered
i_in_wave (TYPE, optional) – wave_fields index of exciting waves. The default is (5,3).
i_out_wave (TYPE, optional) – wave_fields index of outgoing waves. The default is (5,3).
N_step (TYPE, optional) – Number of steps for numerical angle integration. The default is 200.
method (TYPE, optional) – Method of tau calculation. ‘diffuse’ for diffuse reciprocity, ‘langley’ for wave transmission. The default is ‘diffuse’.

Return type:

Signals with coupling loss factors

property N

Number of connected physical SEA systems (not wave_fields)

Returns:: number of systems
Return type:: int

property N_wave

Number of wave fields

Returns:: Number of wave fields
Return type:: int

property exc_DOF

Provides ‘excitation’ DOFs of junction SEA matrix

The ‘excitation’ and response DOFs are equal in terms of ID and wave_dof but use ‘power’ as physical input

Returns:: excitation DOFs of junction SEA matrix
Return type:: DOF

get_wave_DOF(ix=slice(None, None, None))

Provides the local wave DOFs of the junction

Returns:: dofs of junction, list of systems
Return type:: DOF,sys_list

property in_dofs

Provides input wave dofs of junction for upper triangular input matrix

These DOFs are requiered to determine the column index of the upper triangular components in the global SEA matrix.

For example a plate - cavity junction has wave dofs [ ID=1,dof=3 ; 1,5 ; 2,0 ]

The full of diag CLF in the SEA matrix are

$\begin{bmatrix} \Sigma & - n_{15}\eta_{15,13} & -n_{20}\eta_{20,13} \\ - n_{13}\eta_{13,15} & \Sigma & -n_{20}\eta_{20,15} \\ - n_{13}\eta_{13,20} & - n_{15}\eta_{15,20} & \Sigma \end{bmatrix}$

The column dofs would be : [ 1,5 ; 2,0 ; 2,0]