Sqlways download. Sign in anonymously • The Forum is owned and operated by Klipsch Group, Inc. By registering for and using the Klipsch Forum, you assent to our access to and to our use of the personal data that you supply purposes of registering you for and managing the Forum and thereby learning how our customers use and appreciate our products and services, to enable us to develop our customer base and grow our business. ![]() RE: Popularity of exponential and tractrix horns, - TubeBuilder - High Efficiency Speaker Asylum. That personal data may include your login name, email address, password, record of agreement to the terms of use and privacy policy, the IP address used when registering, as well as other IP addresses and browser and device type information while logged in. Additionally personal data may include the information that you optionally supply when creating your profile including gender, birthday, custom “location” text, custom “member title” text, text in “about me” field, interests, information about your audio system, any links you provide to other URL’s related to your audio system, a custom posting signature, website URL, Twitter handle, Skype handle, Aim handle, Yahoo handle, MSN handle, ICQ handle, Jabber handle, and profile images (such as avatar, profile header image), and the content of your forum posts. In words of one cylinder, it's a different shape for a horn. The horn's expansion rate is equal to a 'tractrix curve'. To derive the curve's shape without using math, think about this: Fence / / / /you--------------------dog / / / / / You're standing beside a fence. You have a dog on a leash. The dog starts out at the end of the leash, with the leash perpendicular to the fence. You start walking along the fence (down, in my drawing.) As you go, you pull the dog along. As you pull on the leash, you will, of course, pull the dog along. The dog will be pulled both a little closer to the fence, and a little down. As you continue walking, the dog will move ever closer to, but never reach, the fence, and the direction you move the dog will gradually shift from mostly in toward the fence and a little down to mostly down and a little in towards the fence. The path the dog follows is a tractrix curve. For reasons that are too deep to go into here, the wavefront of a soundwave travelling down a tractrix-shaped horn travels with the edge of the soundwave being perpendicular to the tangent of the curve at the point of intersection at each point along the horn. As Doug said, this makes it 'easier' (?) for the horn to 'launch' the soundwave without causing any reflections back down the horn. To see the full math behind this, and several graphics representations of a tractrix curve, check this (very math heavy) link: Ray ------------------ Music is art Audio is engineering This message has been edited by Ray Garrison on at 10:47 AM. Hard to explain without diagrams. The exponential horn equation looks at the area going up the horn (or down). The area considered is a plane. The plane doubles in area every X increment from the throat (small end) to the mouth (big end). The assumption is that the sound wave going down the horn is flat. The tratrix horn in a pure form is circular in cross section. The complicated equation describes the side wall rather than the area. The theory is that the sound wave has a constant radius. You to imagine that the big end is round and you can cut a hollow ball in half and it fits over the end. You'll imagine that where the circumfrence of the ball touches the mouth, there is a right angle. Then going toward the the small end of the horn, you have to shave off the edges of the hollow ball to make it fit. The 'magic' of the tratrix curve is that the edge of the shaved ball is still at right angles to the wall of the horn. As you get to the small end of the tratrix horn, the area of the ball has been reduced. The radius is the same but the surface is getting closer to being 'flat'. So you can see that the theory of the tratrix is that 1) there is a wave that is a surface cut from a ball of constant radius and 2) where the edge of the ball intersects the side of the wall, it is always perpendicular. The above doesn't tell us all about the tratrix horn, or what makes a horn good or bad for various purposes. These are a bit independent of the theories of the shape of the wave or intersection angle of the wall. Yet it works out. A happy accident perhaps. One theory is that an expanding sound wave in free space is an expanding sphere. Also, a conical horn, like a megaphone, does the best to approximate that. The tratrix comes fairly close to that in the middle section of its expansion.
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Март 2019
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