The files available here have
been found on the web and the first one, "box
simulation and room-gain", is an easy
quick-and-dirty file that tells us what's going on.
The second file, SpeakerBoxDesigner, is found at an
excellent Dutch website:
http://www.mh-audio.nl/Calculator.html
Go to:
Damping adds to
virtual volume
Download
"box simulation and room-gain" excel file for
ScanSpeak 18W/8531-G00
here, and you will
find this:
From
manufacturer's data sheet you get the TS data and you
only need four values to get going, Fs, Re, Vas and Qt.
Insert resistance of
the coil(s) in series with the bass driver in cell B8,
something like 0.2-0.4 ohms. It doesn't make a huge
difference.
Now, TS data and their
reliability: Basically we can get the data we want depending on the
voltage applied during measurement. Here are some examples from an 8"
polyprop bass driver:
Above the same driver from four different
measurements of impedance: Two are done from stepped sinusoidal
measurements and two with a sweep signal. Both are performed by added
mass (20 grams) and added volume (33.4 liter).
Now, this all looks pretty nice making the same Qt, but Vas does vary
some.
Next I tried added mass/sweep and 4 different input levels:
This looks more
interesting as we get a huge variation depending on voltage applied
during measurements. So, what is right? Good question! Actually none of
these are correct as it was possible here to measure the weight of the
the moving mass. This is done by taking the membrane with the voice coil
and cutting half the rubber surround and half the spider. At least this
is as close as we can get the moving mass. We can always argue if half
the rubber surround and half the spider is really the right amount of
suspensions adding to the moving mass. Anyway, Mms is closer to 25 grams
- and this is close to what we get from maximum CLIO output, added mass
and sweep measurements (column 4 in the first illustration). But Qt is
really low - and is this really true? Hard to tell. The problem is that
the suspension aren't linear. This shows up in Cms and Rms. Cms is the
compliance of the suspensions, where Rms is the damping of the
suspension and also from e.g. voice coil formers made from aluminum.
Using Kapton voice coil former the electrical damping is much less and
usually produce a much higher Qm.
The lesson to be learned from this is that TS data you're looking at are
not true! They could be something else if the measurements were done
with another input voltage. This doesn't mean the TS data aren't useful,
in particular if they far outside Qt = 0.35. I also means we have to try
different volumes before we finally decide on the final cabinet for our
driver. Ideally we should try various volumes and various amounts of
damping material before we decide.
The box simulation excel file linked
above does not tell you optimum cab volume for a given driver and we may
question whether this is desirable at all as only a few drivers will fit
in nicely when it comes to the math. For ported systems, only drivers
with a Qt close to 0.35 will make a perfect match.
Dealing with high-Qt drivers (e.g. Qt > 0.4) we use cabs too small and
for low-Qt drivers (e.g. Qt < 0.3) we tend to use too large cabinets.
Remember, there's no "right" here. You can use whatever you want, but be
aware of the consequences of what you're doing. Too small cabs may mean
no bass and too large cabs may produce a boom-box with un-precise bass
performance (e.g. 2.5 clone).
Closed system:
Try a cabinet volume making Qtc = 0.7 and see what happens. In this case
we reach 24 liters and this is not too far off. Try inserting 30 liters
(change cell B11) and you find the response (purple curve) reaching a
bit lower. What you also see from the graphs is that the closed box will
make much less bass at 40 Hz compared to the vented system. If you're
not a bass freak, you may prefer the short and dry bass coming from the
closed box compared to the more voluminous bass from the ported system.
I often recommend making the ported system and you can always stuff the
vent with a sock if the bass becomes too boomy. If you ad a minor amount
for e.g. dacron/acoustilus/MDM3 to the port you're having an aperiodic
system and this may not be bad at all. Try it out!
Ported system:
The 18W drivers are mostly seen in 28-33 liter ported cabs and we have a
nice (almost) flat response down to 40 Hz. Only a minor increase of ~1
dB in the 60-100 Hz range. No problem. We're ~5 dB down at 30 Hz and
this is not a common view I can tell. This driver goes deep from a 33
liter vented cab. The price to pay for this is efficiency on the low
side.
The port: Insert your port diameter in cell B22 and you can read the
port length in cell B23 and you don't have to be nit-picking on this
value. Anything from 13-14 cm length will do perfect. If you have a
slightly conical port, use diameter at outlet (and not maximum diameter
of a flared port).
Do not feel tempted to make a 50 liter ported
system for this driver if you find you can get -3dB @ 30 Hz and think
YES, this is what I want. There's a price to pay for this in terms of a
boomy and un-precise bass performance. You may ask what the heck is the
optimum size cab for this driver? Hmm.... read on.
SpeakerBoxDesigner:
Download Speaker-Box-Designer for
18W/8531-G00
here,
and you will see this:
I don't have a password for this file, but we
can view the formulas used for calculation. The port length is not
corrected to fit reality and if you use this file, multiply port length
by 0.7.
This is a more sophisticated program telling you optimum cabinets based
on TS parametres. You need to add more data (cells with blue font) and
we read a recommended closed box of 24 liters and a calc. ported box of
48 liters, making F3 = 31 Hz!
Now, we would never place the 18W driver in a 48 liter vented box. Or,
it would be like making a modern 2.5-clone getting deep, deep bass
although boomy, sloggish, one-note, etc. Not a good choice.
So, how do we really decide which volume we should use for a given
driver? Only practice can tell. We need to try out the driver in various
volumes, experiment with various Fb and we need to listen. We also need
to listen to the midrange in case we making a 2-way with the 18W
handling anything from the lower bass to 2.5-3 kHz. I've tried the 18W
in 22 liter volume and I didn't like the midrange being flat with too
much presence. The 18W as midrange in a 3-way system is another story,
here 22 liters do really well.
What makes the whole thing even worse is that manufacturers' TS data may
not always be right. Sometimes even very much wrong, so we have to
measure TS data ourselves and see if this makes a more likely scenario.
There's no international standard for measuring TS data, so the results
will vary enormously depending on the voltage applied during
measurements. Speakers are highly un-linear devices.
So, I use the manufacturers' data and I use my own data. Next I model
the driver in LspCAD to see if this driver is really possible! In LspCAD
you can fiddle with all driver parametres and make cross-calculation to
see it what we measure makes sense and not least if what the
manufacturer claim is really plausible. Here you can also explore more
ported tunings like SBB4/BB4, QB3/SQB3 and SC4/S4. An SBB4 tuning will
typically use a large box with a low tuning with a more shallow rool-off
and extended at the low-end.
QB3 uses a smaller cab and a high tuning resulting in a flatter response
and a steeper roll-off profile. SC4 uses a sligtly larger cabinet
compared to the QB3 with a fairly low tuning, not too different from the
SBB4 tuning.
Here's the LspCAD results based on SS data:
QB3,
SBB4 and SC4 all prescribes boxes of 15-20 liter volume!
QB3, SBB4 and SC4 all prescribes boxes of 15-20
liter volume!
Here's what we usually do: 33 liter and a port tuning of 30-33 Hz.
Confused? No wonder!
Considering the impact of damping material on virtual volume as shown
below, I'd make a 28 liter cab for the 18W reaching a virtual volume of
32-34 liter when properly damped.
The
impact of damping materials on box volume
Adding
damping materials to a recent construction I started
wondering if the dense green felt I often use really
doesn't reduce box volume rather than increase box
volume.
So, time for a small study:
Materials:
test cab, 33.4 liter net volume,
internal dimensions 460 x 280 x 260 mm (volume of two
fillets for mounting front panels subtracted)
Driver: ScanSpeak 21W/8555-01, Fs = 17 Hz, Vas =
169.5 liter
Green felt, approx. 10 mm thickness.
Egg crate foam, 30 mm
Monacor MDM3, 33% polyester foam and 67% sheep's wool.
To cover
internal walls with 0.5 m^2 of damping materials were
used.
Results:
- As can
been seen the green felt did not reduce volume, rather
increased virtual volume by 6%.
- For egg crate foam and MDM3 we see an increase in
virtual box volume of around 15%.
As
always: Take into account the impact of damping materials
on your box volume.
Red = unit in free air, empty box (blue), green felt
(green), egg crate foam (brown) and MDM3 (yellow).
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