pyva.systems.acoustic1Dsystems.Membrane

class pyva.systems.acoustic1Dsystems.Membrane(material, thickness, tension, area, **kwargs)

Bases: MassStiffness

The Membrane class deals with membranes

The behaviour is calculated assuming a circular membrane with similar area

thickness

Type:: of the membrane

material

Type:: of the membrane

tension

Type:: of the membrane

__init__(material, thickness, tension, area, **kwargs)

Class contructor for MassLayer

Parameters:

thickness (float) – thickness of the membrane
material (Fluid or isoMat) – material of the membrane
tension (float) – tension of the membrane
area (float) – area of the membrane

Examples

import acoustic1Dsystems as ac1Dsys my_mem = ac1Dsys.membrane(rubber,0.001,200,0.01)

Methods

`Signal`(omega)	generates a Signal from the requested frequency range
`__init__`(material, thickness, tension, area, ...)	Class contructor for MassLayer
`acoustic_FE`(omega[, ID])	Acoustic Finite Element of MassLayers
`plot`(omega[, fig])	Plots the transfer impedance for the related part
`radiation_impedance`(omega)
`transfer_impedance`(omega[, ID])	Transferimpedance of LumpedAcoustic

Attributes

`mass_per_area`	Mass per area
`stiffness_per_area`	Stiffness per area

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

property mass_per_area

Mass per area

Returns:: specific mass per area.
Return type:: float

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.

property stiffness_per_area

Stiffness per area

Returns:: ftiffness per area.
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