pyva.systems.acoustic1Dsystems.PerforatedLayer

class pyva.systems.acoustic1Dsystems.PerforatedLayer(thickness, hole_radius, area=1.0, fluid=Fluid(c0=343.0, rho0=1.23, eta=0.01), pattern='square', alpha=2.0, **kwargs)

Bases: LumpedAcoustic

The PerforatedLayer class deals perforated layers in acoustic networks

The behaviour is calculated using flow throught the holes and radiation be the disk radiator pattern

thickness

Type:: of the perforted layer

pattern

Type:: of the holes (quadradic, triangular, )

hole_radius

Type:: of the hole sin the membrane

porosity

Type:: area ration of holes and closed surface

fluid

Type:: fluid in the holes

alpha

sharp to round edges

Type:: correction constant for resistivity correction approx 4.-2. for

__init__(thickness, hole_radius, area=1.0, fluid=Fluid(c0=343.0, rho0=1.23, eta=0.01), pattern='square', alpha=2.0, **kwargs)

Class contructor for PerforatedLayer

Parameters:

thickness (float) – thickness of perforate
hole_radius (float) – radius of perforate holes
area (float) – area of perforate plate
fluid (fluid) – fluid in the hole
pattern (str) – ‘square’,’triangular’,’hexagonal’ identifier for the hole pttern
alpha (float) – factor for edge sharpness
kwargs (dict) – Arbitrary keyword parameter list
distance (float) – distance between holes
porosity (float) – surface porosity of perforate

Examples

import acoustic1Dsystems as ac1Dsys myTube = ac1Dsys.material(rubber,0.001)

Methods

`Signal`(omega)	generates a Signal from the requested frequency range
`__init__`(thickness, hole_radius[, area, ...])	Class contructor for PerforatedLayer
`acoustic_FE`(omega[, ID])	Acoustic Finite Element of MassLayers
`plot`(omega[, fig])	Plots the transfer impedance for the related part
`radiation_impedance`(omega)
`reactive_end_correction_perforate`(omega)	Calculates the reactive end correctoin of both sides of one perforate
`transfer_impedance`(omega[, ID])	Transferimpedance of LumpedAcoustic
`transfer_reactance`(omega)	Calculates the resistive end correction of both siges of one perforate
`transfer_resistivity`(omega)	Calculates the scalar transfer impedance of the flow in one perforate

Signal(omega)

generates a Signal from the requested frequency range

Parameters:: omega (float) – angular frequency.
Returns:: slope of transfer impedance.
Return type:: Signal

acoustic_FE(omega, ID=[1, 2], **kwargs)

Acoustic Finite Element of MassLayers

Takes simple 1D transmission line model based on AcousticTube properties to model the so mobility matrix, given by

$\frac{S}{Z(\omega)} \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix} \begin{Bmatrix} p_1 \\ p_2 \end{Bmatrix} = \begin{Bmatrix} Q_1 \\ Q_2 \end{Bmatrix}$

Parameters:

omega (float) – angular frequency.
ID (list of int, optional) – IDs of element ports. The default is [1,2].

Returns:

Mobility matrix of limped acoustic

Return type:

DynamicMatrix

plot(omega, fig=1, **kwargs)

Plots the transfer impedance for the related part

Parameters:

omega (float) – angular frequency.
fig (int, optional) – figure ID. The default is 1.
**kwargs (dict) – Arbitrary keyword parameter list passed to Signal.plot.

Return type:

None.

reactive_end_correction_perforate(omega)

Calculates the reactive end correctoin of both sides of one perforate

Parameters:: omega (float) – angular frequency.
Returns:: reactive end correction.
Return type:: float

transfer_impedance(omega, ID=[1, 2], **kwargs)

Transferimpedance of LumpedAcoustic

Takes simple 1D transmission line model based on AcousticTube properties to model the so called transfer impedance, given by $Z = (p_2-p_1)/v$

This class is an abstrat class that has no implementation of the specific transfer impedance. This must be done by the daughter classes

$\begin{Bmatrix} p_1 \\ v_1 \end{Bmatrix} = \begin{bmatrix} 1 & Z \\ 0 & 1 \end{bmatrix} \begin{Bmatrix} p_2 \\ v_2 \end{Bmatrix}$

Parameters:

omega (float) – angular frequency
ID (list of int) – IDs of the two ports

Returns:

[2 x 2] array of transferimpedance

Return type:

DynamicMatrix

transfer_reactance(omega)

Calculates the resistive end correction of both siges of one perforate

Parameters:: omega (float) – angular frequency.
Returns:: transfer reactance.
Return type:: float

transfer_resistivity(omega)

Calculates the scalar transfer impedance of the flow in one perforate

Parameters:: omega (float) – angular frequency
Returns:: transfer resistivity
Return type:: float