pyva.systems.acoustic1Dsystems.MassStiffness

class pyva.systems.acoustic1Dsystems.MassStiffness(mass, stiffness, area=1.0, damping=0, vdamping=0)

Bases: LumpedAcoustic

The MassStiffness class provides a generic mass, spring and damping element in an acoustic 1D network

mass

Type:: of the layer in the 1D element

stiffness

Type:: of the layer in the 1D element

area

Type:: the mass/stiffness is extended over

vdamping

Type:: vicous damping

damping

Type:: damping loss

__init__(mass, stiffness, area=1.0, damping=0, vdamping=0)

Class contructor for MassStiffness objects

Parameters:

mass (float) – of the layer in the 1D element
stiffness (float) – of the layer in the 1D element
area (float) – area of the mass/stiffness is extended over
vdamping (float) – vicous damping
damping (float) – damping loss of the tube

Examples

import acoustic1Dsystems as ac1Dsys myTube = ac1Dsys.1Dlumped(1,0)

Methods

`Signal`(omega)	generates a Signal from the requested frequency range
`__init__`(mass, stiffness[, area, damping, ...])	Class contructor for MassStiffness objects
`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