Equations and all that |
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speaker monkey
Registered User Joined: 15 January 2008 Status: Offline Points: 281 |
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Posted: 22 August 2008 at 3:04pm |
I was just wandering if anyone had or knew how to get the underlying equations for things like hornresp etc. and the science behind it? Some books perhaps?
Sorry if this is a repeated question, tried the search and didnt really find what I was looking for. Im after texts and books rather than excel spreadsheets or software, if poss. monkey x |
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Deadbeat
Old Croc Joined: 12 March 2008 Location: Singularity Status: Offline Points: 3167 |
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It's good to hear that someone wants to learn the math. It helps you understand what is going on.
however we all use simulations because we (should) know the math behind and know what it's doing - the simulation is like a graphing calculator on steroids. So that's taken care of, I hope you weren't thinking of doing it that way. We've had people think of doing that... Hornresp's results are consistent with math by a professor called William Marshall Leach. Hornresp also takes in a plethora of other math, which is what we will focus on later. This is his website: http://users.ece.gatech.edu/~mleach/ This is the part that we are interested in: http://users.ece.gatech.edu/~mleach/audiothings.html This is the part we are REALLY interested in, his AES paper. http://users.ece.gatech.edu/~mleach/papers/HornPaper/HornPaper.pdf Now, leach's math is actually based on a modified model that appears in Harry Olson's 'Acoustical Engineering', a standard manual which you should buy. No jokes. Leach's simple model allows you to design a horn based on a driver's t/s parameters and wanted frequency range, or do the opposite starting off with the horn and finishing with a set of t/s parameters. Bear in mind that this is a very simple model - it doesn't take in folds or standing waves or reflections anywhere in the horn. The main assumption is that all of his math takes place in an infinitely long exponential horn. This means that you're not gong to really get the results from the math when measuring a compact horn. Leach also makes a few other assumptions detailed in his paper. The math should serve as a starting guideline for your designs. Now you consider all the other math for predicting output, distortion, and other things. This is detailed in a lot of other papers. While I don't know all of this offhand, I'll edit this post when I find them in my links bucket. EDIT: these are AES article ref numbers, make a trip to your local AES library. "Design Factors in Horn-Type Speakers", D.J. Plach, JAES, Vol. 1, pp. 276-281, 1953 October. "The Function and Design of Horns For Loudspeakers", C.R. Hanna and J. Slepian, JAES, Sep 1977, Vol. 25, No. 9, pp. 573-585. (Reprint of 1924 article) "Discussion: The Function and Design of Horns For Loudspeakers", (OPTIONAL) JAES, Mar 1978, Vol. 26, No. 3, pp. 131-138. (Reprint of 1924 article) "A New Family of Horns" Edited by Deadbeat - 22 August 2008 at 4:02pm |
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Away on extended leave.
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Jake_Fielder
Old Croc Joined: 08 October 2007 Status: Offline Points: 4231 |
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http://www.xlrtechs.com/dbkeele.com/papers.htm
Maybe this would be interesting, I recomend no.4 on the list.
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Deadbeat
Old Croc Joined: 12 March 2008 Location: Singularity Status: Offline Points: 3167 |
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Thanks Jake. The ones in my link bucket from him would be (+ that one):
The one at the very very top (what's so sacred about exponential horns?) http://www.xlrtechs.com/dbkeele.com/PDF/Keele%20(1975-05%20AES%20Preprint)%20-%20Whats%20So%20Sacred%20Exp%20Horns.pdf 11. http://www.xlrtechs.com/dbkeele.com/PDF/Keele%20(1977-05%20AES%20Preprint)%20-%20LF%20Horn%20Design%20Using%20TS%20Paras.pdf I hate wading through AES links. |
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Away on extended leave.
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Jake_Fielder
Old Croc Joined: 08 October 2007 Status: Offline Points: 4231 |
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Yeah, they're actually the only three that i have properly read, (as in working on examples and stuff as well). It was some time ago tho....
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Deadbeat
Old Croc Joined: 12 March 2008 Location: Singularity Status: Offline Points: 3167 |
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In terms of books, I
recommend for starters:
Harry Olson's 'Elements of Acoustical Engineering' http://www.amazon.co.uk/Elements-Acoustical-Engineering-Harry-Olson/dp/B001B0NCQC/ref=sr_1_5?ie=UTF8&s=books&qid=1219417528&sr=1-5 Leo Beranek's 'Acoustics' http://www.amazon.co.uk/Acoustics-Leo-L-Beranek/dp/088318494X/ref=sr_1_5?ie=UTF8&s=books&qid=1219417420&sr=8-5 Bit expensive, but worth it. they're the standard texts. Then we can get onto modern advancements (which presume knowledge of these already). Oh, and JW Rayleigh's 'theory of sound', I don't have a link. Originally published in the 19th century, but still going strong. Gives you a very strong foundation. Here's quite a cheap source of these, though. Not sure whether they ship to the UK. http://www.audioxpress.com/bksprods/BKSACOACO.htm |
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Away on extended leave.
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speaker monkey
Registered User Joined: 15 January 2008 Status: Offline Points: 281 |
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Hey, thanks guys.
cheers for all the positive stuff. Lots of reading for me to do then, good stuff. speak to you in a few months monkey x PS anymore links/books are welcome PPS AES library? from what I can gather you pay (albeit not a lot) for the PDF texts online..? |
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Deadbeat
Old Croc Joined: 12 March 2008 Location: Singularity Status: Offline Points: 3167 |
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Hi,
Some of the authors actually give away their texts for free, like Don Keele. However, a lot are hidden in the AES, where you have to pay a fee. I assume you live in the UK, so AES representation isn't a problem. Ring your local section and they'll tell you where to find texts (there's a few dedicated libraries if I'm not mistaken), or it should be on the website. Otherwise there's a high possibility of certain university libraries having such texts in anthology/preprint format. I think (link I posted)Old Colony Sound Lab's AES anthology prices are a steal though. If you are really into it, you could become a member. What other reading you do depends on what you want to learn. General Acoustics? Psychoacoustics? Design of HF horns? There's books and papers for pretty much everything. |
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Away on extended leave.
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tb_mike
Old Croc Joined: 01 October 2004 Location: New Zealand Status: Offline Points: 2744 |
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Yeh I find them in the uni library.They had an old copy of olsons book too.
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_djk_
Old Croc Joined: 23 November 2004 Location: United States Status: Offline Points: 6002 |
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djk
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snowflake
Old Croc Joined: 29 December 2004 Location: Bristol Status: Offline Points: 3122 |
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Edited by snowflake - 15 May 2020 at 5:09pm |
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snowflake
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Edited by snowflake - 15 May 2020 at 5:10pm |
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