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Midrange horn answers [message #16169 is a reply to message #16168] Sun, 22 February 2004 00:02 Go to previous messageGo to next message
Adrian Mack is currently offline  Adrian Mack
Messages: 568
Registered: May 2009
Illuminati (1st Degree)
Cool, I can see what was happening now from those response curves and inputs you sent me.

I threw Fs, Qts and Vas into a box modelling program using a closed box volume of the size you entered in Hornresp, which was 3L. It shows an underdamped response and peaks 3.8db at about 165Hz. As it turns out, this is one of the reasons you were getting more frequency response extension on the low end than you would get normally.

A box volume of 19L for this driver gives a Qtc of 0.707 for the rear chamber so it doesn't peak at cutoff. Without changing any other horn parameters, compare the response in Hornresp with 3L rear chamber to a 19L rear chamber on your horn model. Efficiency between 100-300Hz is less, its 4db down at 150Hz compared to 400Hz (for anyone else viewing the thread, response was dead flat with the 3L chamber from 150Hz-500Hz and up to 1KHz as well, just a bit more wobbly). The 4db peaking is part of the reason for the LF boost. Also notice that the rolloff seems a lot shallower and to a lower frequency than before as well, because Fb of the rear volume of 19L is lower than Fb when its 3L, and both are a lot lower than horn Fc. The extra 12db/oct rolloff below Fb doesn't begin until a lower frequency. Excursion at low frequencies is also less now.

While the horn now rolls off below 500Hz (about the 1/4wl frequency of its length) its not rolling off very fast at all, a meagure 3db/oct. Reason for this is efficiency. Remember that a horn cannot effectively reach maximum efficiency until its length is 1/2wl of frequency to be used (nor can it reach zero acoustic phase for that matter) although the horn will work when length is 1/4wl of lowest frequency. Notice that despite being on a horn, the 1w/1m sensitivity of it is only 90db 1w/1m, which really is nothing more than what the driver does in a simple acoustic suspension or reflex box. Horn length is very small at 7", actually it was 6.69" in the model you sent me (hence its rolling off below 500Hz and not 480Hz being my previous assumption). Since hornresp works in centimeters, lets use these terms instead. Length that you had entered was 17cm, increase this to say 30cm and have it calculate SPL curve. Notice that efficiency above 300Hz is now 4-5db greater than when it was 17cm long, and now frequencies below 300Hz are attenuated a lot more because of this. The "real" low end limit shifts to 300Hz from 500Hz now because 30cm is 1/4wl of 300Hz. The longer length is also increasing efficiency. Its now falling off more rapidly from Fc to Fb, where it is direct radiator below Fc. Compare efficiency at 300Hz now to 150Hz, its attenuated almost 9db now. To add to that as I mentioned before, passband efficiency is now 94/95db 1w/1m with 30cm length and not 90db 1w/1m when it was 17cm length.

If it were a different driver with a smaller and lighter diaphragm designed to work above 500Hz, say a 3" or 4" driver, even some 2" compression drivers can work this low, then 7" would be the correct length to maximize efficiency. The driver that your using though with its 43Hz Fs etc is "meant" to be used lower than this and it doesn't work right when length is this short.

To comment on the rest of the inputs, change front volume to ~118cc from the 250cc that you had. Although different 6" drivers vary their volume under the cone because of different cone shapes, the volume of air under the Eminence Alpha 6" driver cone that I measured was 118cc, so we can assume your 6" has a volume "around" this amount. Any differences between different makes of 6" will be minimal anyway. Since the cone is shape which is just that, there isn't a fixed or single cross section area, so its hard to put a value into Hornresp. It cannot be bigger than Sd though, so change it to around ~80cm^2 for a 6" driver. It's got nothing to do with the LF cutoff which is the main purpose of this thread, but rather the HF cutoff, I thought I would mention it anyway. I'd make the throat perhaps a little smaller, say 55cm^2 to maximize HF efficiency. Hornresp does not predict this accurately though, but it's likely to be better when you measure the response if you actually build a horn for it.

If you have calculated the SPL curve again after these changes you'll notice efficiency changes again. Changing throat and front chamber sizes/volumes will effect passband efficiency along with other things. If the throat is made smaller the horn will load to a higher frequency up to a certain point, then it becomes attenuated again by out of phase reflections between the cone and mounting plate. You can see that the volume between cone and mounting plate forms a resonant chamber acting like an acoustic lowpass filter for the high frequencies. Then there is other things to consider as well such as distortion from throat resistance, too small a throat will choke the low end and it all becomes non linear. There is a specific range of values to maximize efficiency, bandwidth and distortion products. Don't trust what Hornresp predicts on the top end though, it's model isn't accurate enough for this.

To me this doesn't seem like the best driver for a horn. It's Fs is too low so efficiency is compromized a lot. 94db 1w/1m from a driver/horn is low considering many horns boast at least 100db 1w/1m. If you make length much longer than 30cm, the response curve starts to generate a lot of ripple. If you make it 57cm long or 1/4wl of 150Hz, it makes horrible ripple with the tallest peak being 8db. You need to look for ones with a higher Fs (hence lower moving mass) which will also have higher efficiency, motor strength governs this too. This is why I choose the Alpha 6 driver for my midrange horn. Remember that the horn lowers the Fs of the driver so you can get more low end out of a low qts/high fs/high eff driver in a horn than you could in a closed or reflex box, which for a driver with these specs would have a very high f3 by comparison.

Adrian

Thank you so much, Adrian [message #16171 is a reply to message #16169] Sun, 22 February 2004 10:24 Go to previous messageGo to next message
wunhuanglo is currently offline  wunhuanglo
Messages: 912
Registered: May 2009
Illuminati (2nd Degree)
I sincerely appreciate all your help in looking at this for me.

I was trying to use some front chamber volume to smooth the response, so the 250CC was based on a guess that the average cone height is 1cm. For an Sd of 141cm I was approximating the "free" (as in I can't do anything about it except a phase plug) chamber volume at 150cc. I then added another 100cc based on a 1/4" (.75 cm) spacer.

What i didn't understand was you comment "so change it to around ~80cm^2 for a 6" driver". Wouldn't I still consider the entire cone area as contributing to the front chamber volume rather than just the area projected under the throat?

Thanks again.

Charlie

Re: Thank you so much, Adrian [message #16173 is a reply to message #16171] Mon, 23 February 2004 02:35 Go to previous messageGo to next message
Adrian Mack is currently offline  Adrian Mack
Messages: 568
Registered: May 2009
Illuminati (1st Degree)

Hi Charlie

No worries about it.

The cross sectional area of the front chamber varies depending on where abouts you measure it. The diaphram is a cone shape, so as you move in toward the dustcap the cross section area gets progressively smaller. 80cm^2 isn't really accurate either, seeing as it will be a range of values (cross section area at the surround will be bigger than cross section area nearer to the dustcap). I use this number though just because its somewhere around the middle of the possible values. It doesn't matter anyway for what you want to enter into Hornresp seeing as it doesn't predict response at the top cutoff accurately.

I've found in the past that spacer's between the driver and mounting plate are generally a waste of time when you do the measurements. Extra volume in the front chamber isn't needed when your doing a horn like this. I would forget about it, and mount the driver directly onto the mounting plate and whatever air that is trapped underneath the cone will be your front chamber volume.

Adrian

mack [message #16176 is a reply to message #16173] Mon, 23 February 2004 20:34 Go to previous messageGo to next message
Mike.e is currently offline  Mike.e
Messages: 471
Registered: May 2009
Illuminati (1st Degree)
Hello Adrian
Could you please list your thread links?
the ones for
-midrange horn discussion
-HF horn discussion
-BI radial / other horns and design choices,dispersions.

since pi moved,and i dont have the links since i formatted pc,need to find again.

Cheers!


Re: mack [message #16179 is a reply to message #16176] Tue, 24 February 2004 00:39 Go to previous message
Wayne Parham is currently offline  Wayne Parham
Messages: 18686
Registered: January 2001
Illuminati (33rd Degree)
Here's a suggestion that may help you find Adrian's posts. In the π forum, search for these items:

"Adrian Mack"
"midrange horn"
"tractrix"
"conical"

I know that each of those will give you a lot of links, but you will be able to identify some of them by their subject titles. Just click through a few and I'm sure you'll find the things you're looking for.

Sorry the search feature isn't more advanced, and looks only for exact matches. But that's the most used type of search, so I suppose that's a good one to have. Chris R. is looking over the code and may donate some time; I also will probably put some time into the deal, but I have about a zillion things to do first.


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