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Natural Science Forum / Physics / Acoustics / February 2005



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Partition with 2 og 3 air spaces

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abr@norconsult.no - 08 Feb 2005 13:39 GMT
Hello,

I'd like to calculate sound insulation for partitions with 2 or 3 air
spaces. I'm especially interested in the case of windows. Does anyone
know about relevant papers I could find on the net? If someone knows
about papers with measurement results of different kind of windows,
that would be even more great!

Thanks in advance for any help,

Alain Bradette
bert stoltenborg - 08 Feb 2005 14:40 GMT
http://forum.studiotips.com/viewtopic.php?t=1250

Here is a measurement on a triple leaf window.
You probably know that using 3 leafs will decrease the low frequency
R-value of a similar 2-leaf system. On thermopane-like windows your
125-200 Hz R will decrease, as Eric Desart explained.

Bert

> Hello,
>
[quoted text clipped - 7 lines]
>
> Alain Bradette
Chris Whealy - 08 Feb 2005 16:49 GMT
> I'd like to calculate sound insulation for partitions with 2 or 3 air
> spaces. I'm especially interested in the case of windows. Does anyone
> know about relevant papers I could find on the net? If someone knows
> about papers with measurement results of different kind of windows,
> that would be even more great!

This should be fairly straight forward to calculate using a transfer
matrix.  This method has been implemented by Trevor Cox and Peter
D'Antonio in their book "Acoustic Absorbers and Diffusers" available
from Spon Press.

I have implemented their methods in a spreadsheet for Helmholtz style
porous absorbers, but this only accounts for one air gap.  However, the
method is extendible to any number of layers as long as you know or can
calculate the impedance of each layer.

If you'd like to see my implementation, you can download the spreadsheet
from http://www.rmmpnet.org/members/ChrisW/index.html then select
"Porous Absorber Calculator".  Please read the instructions on the
download page carefully!

Chris W

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The voice of ignorance speaks loud and long,
but the words of the wise are quiet and few.
                                         --

Angelo Campanella - 08 Feb 2005 17:04 GMT
> I'd like to calculate sound insulation for partitions with 2 or 3 air
> spaces. I'm especially interested in the case of windows. Does anyone
> know about relevant papers I could find on the net? If someone knows
> about papers with measurement results of different kind of windows,
> that would be even more great!

    The simple answer is that the greatest amount of noise isolation is
achieved when all of the glass is placed on the outside surfaces, each
nearly half the total mass in PSF (or kg/m^2). Any glass near the center
is virtually useless for noise isolation.
   
    Angelo Campanella
abr@norconsult.no - 09 Feb 2005 12:04 GMT
>     The simple answer is that the greatest amount of noise isolation is
> achieved when all of the glass is placed on the outside surfaces, each
> nearly half the total mass in PSF (or kg/m^2). Any glass near the center
> is virtually useless for noise isolation.
>
>     Angelo Campanella

Thanks everyone for the answers.

I think I understand the principles ruling windows. What I'd like is to
be able to predict with an acceptable certainity sound insulation for
different types of windows. That's mostly relevant in case of improving
existing windows.

Typical cases:
To obtain satisfactory heat insulation it's necessary to have thermos /
insulated glass (not sure about the right word) on one side. Adding a
monolith glass pane leads to 2 air spaces.

Another case is with existing dobbel windows typically 3mm glass - 60mm
air - 3mm glass which has to be improved with a additional insulated
glass. That's a 3 air space case.

I've a lot of data but they don't cover all the possible combinations
which are almost infinite. So it will be very useful if I could
calculate what will happen with the glass pane that thick with an air
space that large instead of more or less guessing how better it will
be. Finding datas covering situations I don't have would be greatly
helpfull too.

Thanks in advance to any contribution.

Alain Bradette

> --
Chris Whealy - 09 Feb 2005 12:24 GMT
> I've a lot of data but they don't cover all the possible combinations
> which are almost infinite. So it will be very useful if I could
> calculate what will happen with the glass pane that thick with an air
> space that large instead of more or less guessing how better it will
> be. Finding datas covering situations I don't have would be greatly
> helpfull too.

Hi Alain

This is exactly the type of situation that a transfer matrix approach
would help you solve.  This method allows you to calculate the
absorption of a multi-layered device once you know the acoustic
impedance of each layer.

You can add as many layers as you like to this type of calculation, so
it is not important what specific combination of layers are present in
your device (window, in your case).

It is a fairly straight forward task to create a generic spreadsheet
that calculates the absorption of 3, 4, or 5 etc layers.

Regards

Chris W

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The voice of ignorance speaks loud and long,
but the words of the wise are quiet and few.
                                         --

bert stoltenborg - 09 Feb 2005 13:09 GMT
Hello Chris,

Does this really work in practice?
Pograms like Insul don't seem to manage these calculations.
And what happens with angular incidence etc?

Bert

> > I've a lot of data but they don't cover all the possible combinations
> > which are almost infinite. So it will be very useful if I could
[quoted text clipped - 6 lines]
>
> This is exactly the type of situation that a transfer matrix approach

> would help you solve.  This method allows you to calculate the
> absorption of a multi-layered device once you know the acoustic
[quoted text clipped - 15 lines]
> but the words of the wise are quiet and few.
>                                           --
Chris Whealy - 09 Feb 2005 14:32 GMT
> Hello Chris,
>
> Does this really work in practice?
> Programs like Insul don't seem to manage these calculations.
> And what happens with angular incidence etc?

I haven't got any direct information that establishes the predictive
accuracy of transfer matrix based calculations.  However, Prof Trevor
Cox of the University of Salford in the UK has made extensive use of
them in his recent book.

As far as the calculations are concerned, they are not particularly
demanding, and if done correctly, can be used to predict the acoustic
absorption of any number of adjoining layers.

The basic calculations (as I have implemented them) assume that the wave
front is both plane and at normal incidence.  If you take a look at my
spreadsheet, you can see the implementation of this method.

I have also implemented a calculation that shows the absorption of a
porous absorber against a rigid back plane (with or without air gap) in
which you can alter the angle of incidence.  However, to be truly
useful, I would have to extend the calculations to show absorption from
random incidence sound.  (Currently, I have no time to do this...)

Since I am a hobbyist acoustician, I have no equipment to test the
validity of transfer matrix based predictions.  Jeff Szymanski from
Auralex in the US mentioned to me last year that they were planning to
build new test chamber.  Maybe they could put this predictive technique
to the test.

Jeff, is this viable?

Regards

Chris W

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The voice of ignorance speaks loud and long,
but the words of the wise are quiet and few.
                                         --

Brian Ravnaas - 11 Feb 2005 18:32 GMT
hi folks, i wonder if there aren't two separate trains of thought going
on here?  Chris is talking about absorption, the thread started about
transmission loss...  Pardon me if i misunderstand.

WRT the prediction of transmission loss, if someone wanted to model
transmission loss accurately for a normal two-leaf partition, a wide
variety of considerations would have to be made relative to the current
models.  The traditional Fmam calculation would have to be among the
first to go.

And not all double-leaf wall types can be modeled by the same basic
theory, either.  Find an engineer that works on structures of some sort
where calculations of mechanical behvaior are necessary, and then ask
him what he thinks of this "mass-air-mass" resonance.  Then ask him
what he thinks of it in the common wall...  sometimes it's healthy to
get an outside perspective... there's a term for that, but it eludes
me.

For modeling the common single-wood-stud wall, there is NO better
starting point than Lin and Garrelick from JASA circa 1977, for
modeling "de-coupled" walls, go back a few steps from the traditional
"there is Fmam, then it rises by 18db/octave, then it rises by
12db/octave, then we see coincidence" summary and take a look at the
more elaborate math that is distilled via many assumptions that cannot
always hold to the fmam, etc. summaries.

take it easy everybody,

Brian
Chris Whealy - 11 Feb 2005 18:50 GMT
> hi folks, i wonder if there aren't two separate trains of thought going
> on here?  Chris is talking about absorption, the thread started about
> transmission loss...  Pardon me if i misunderstand.
>
> take it easy everybody,

Yup, you're right Brian.  Classic case of "wandering thread"...

Chris W

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The voice of ignorance speaks loud and long,
but the words of the wise are quiet and few.
                                         --

Brian Ravnaas - 26 Feb 2005 18:44 GMT
wandering threads are good!
 
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