Originally Posted by
ratitifb
Nice print but B&K only describes the added compliance method and not the added mass method commonly used as in lab. on large drivers.
Hi ratitifb,
The mentioned "added mass method" is explained some other explanations, so fs, Re, Mms, Qes can be get.
For example here:
http://sound.westhost.com/tsp.htm
where first Re has to be measured, and then fs, Qes, Qms, Qts, and later Mms and Vas
{ ......"Measuring Vas (equivalent air compliance), Method 2 The second method is to use an added mass, M1. Typically modelling clay or Blu-Tak is simply stuck
to the cone close to the voicecoil, and the change of resonant frequency allows you to determine
the moving mass of the cone. Armed with this, you can then calculate the Vas.....
...For speakers less than 200mm (8"), use 5 grams, for 200mm use 10g, and for 250mm (10") or larger, use 20g.
You may need to add more if the mass chosen does not reduce resonance by at least 10%. The mass must be measured accurately! Even a small error can cause a large variation in the calculated Vas, so a precision scale (accurate to at least 0.1g) is essential. You also need to measure the effective cone diameter. This is generally taken as a measurement that includes half the surround. Again, an inaccurate reading will make a big difference. Because of this, the test box method is probably more accurate. You don't need to worry about extremely accurate measurements that have a profound effect on the measurement result. Still, the added mass method is quick and convenient, so has been added. The Fs of the speaker in free air has been measured, so simply add a suitable mass to the cone and re-measure the resonant frequency. This becomes Fs¹.
First, measure cone diameter so that effective cone area can be determined. Measure the diameter, including half the surround. The measurement must be in centimeters for this calculation. Divide by 2 to get the radius ...
Sd = pi * r²
Calculate cone mass ...M = M1 / (( Fs / Fs¹ )² -1 )
Next, determine Cms ...Cms = 1 /(( 2 * pi * fs )² * M)
VAS = CMS * d * c² * Sd²
Assume the following ...d = density of air = 1.204 kg/m3
c = speed of sound = 345 m/s
Let's do a sample calculation using the same driver as before. ...
Sd = pi * r²
Next, we measure the driver's resonance with an added mass. The mass was carefully measured,.....
(note that it was indicated above that some drivers will need a lot more mass than may be indicated -...... has a heavy cone) ...
M = M1 / (( Fs / Fs¹ )² -1 )
Now we can calculate Cms, using the values shown above ...
Cms = 1 / (( 2 * pi * fs )² * M )
Now that we have everything needed, VAS can be calculated, using the default values for air density and sound velocity ...Vas = Cms * d * c² * Sd²
Then, knowing fs, Re, Mms, Qes then BL can be calculated as mentioned in the attached figure:
http://www.audioheritage.org/vbullet...1&d=1391003332
Regards ivica