I apologize in advance for the length of this post.
84gmcjimmy said:
I don't mean to hijack, but I have a question. How do you tune a box when you build it to get in a certain frequency range? Any links or anything to help would be great.
chevyin, I bow to you, that is a lot of information
Generally when someone says they are tuning a box, they are referring to a vented (ported) enclosure. Ported enclosure tuning is dictated by three things: 1) enclosure internal volume, 2) port area (cross-sectional length x width for rectanglar ports, Pi x r^2 for round ports), and 3) length of the ports. In other words, go back to my example of running around the block while breathing through a straw... how easily this is accomplished would depend on how big the straw is (diameter), and how long it is. If its excessively small (diameter) or excessively long, it will be more difficult. Enclosure ports work the same way, the area of the port (diameter of the straw in my example) and port length effect how much air is allow in and out of the port, and how much restriction it places on the air's movement. To understand how internal volume affects tuning, Im going to quote a couple things that explain better than my own words would:
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Optimum volume for ported enclosure (cubic ft):
These formulas were engineered by D.B. Keele Jr. using the vented enclosure alignments developed by A.N. Thiele.
Enclosure volume: Vb = 15 Vas (Qts^2.87)
Theoretical cut-off frequency: F3 = 0.26 Fs (Qts^ -1.4)
Tuning frequency: Fb = 0.42 Fs (Qts^ -0.9)
If an ideal box is to large for your application, choose an enclosure size in cu.ft. then
Find: F3 = (Vas / Vb)^1/2 (Fs)(an exponent to 1/2 is the same as taking the square root)
New tuning frequency: Fb = (Vas / Vb)^0.32 (Fs)
Note: these formulas for the "ideal" enclosure provide a flat response curve, reasonably low F3, and fair transient response. The smaller you make the enclosure, the larger the peak in the response curve, the higher the F3, and the poorer the transient response. Enclosures much smaller than the "ideal" alignment will sound muddled and boomy.
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To understand those equations, you have to understand what a speaker's theil/small perameters are.
Basically theil/small perameters are specs measured for each speaker (using standardized test formats) that can be used to predict how a speaker will react in a specific enclosure (usually using computer based modeling programs). Here's a well accepted definition of the theil/small perameters:
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"Thiele-Small Parameters
In the early seventies, several technical papers were presented to the AES (Audio Engineering Society) that resulted in the development of what we know today as 'Thiele-Small Parameters'. These papers were authored by A.N.Thiele and Richard H. Small. Thiele was the senior engineer of design and development for the Australian Broadcasting Commission and was responsible at the time for the Federal Engineering Laboratory, as well as for analyzing the design of equipment and systems for sound and vision broadcasting. Small was, at the time, a Commonwealth Post-graduate Research Student in the School of Electrical Engineering at the University of Sydney.
Thiele and Small devoted considerable effort to show how the following parameters define the relationship between a speaker and a particular enclosure. However, they can be invaluable in making choices because they tell you far more about the transducer's real performance than the basic benchmarks of size, maximum power rating or average sensitivity.
Fs------This parameter is the free-air resonant frequency of a speaker. Simply stated, it is the point at which the weight of the moving parts of the speaker becomes balanced with the force of the speaker suspension when in motion. If you've ever seen a piece of string start humming uncontrollably in the wind, you have seen the effect of reaching a resonant frequency. It is important to know this information so that you can prevent your enclosure from 'ringing'. With a loudspeaker, the mass of the moving parts, and the stiffness of the suspension (surround and spider) are the key elements that affect the resonant frequency. As a general rule of thumb, a lower Fs indicates a woofer that would be better for low-frequency reproduction than a woofer with a higher Fs. This is not always the case though, because other parameters affect the ultimate performance as well.
Re--------This is the DC resistance of the driver measured with an ohm meter and it is often referred to as the 'DCR'. This measurement will almost always be less than the driver's nominal impedance. Consumers sometimes get concerned the Re is less than the published impedance and fear that amplifiers will be overloaded. Due to the fact that the inductance of a speaker rises with a rise in frequency, it is unlikely that the amplifier will often see the DC resistance as its load.
Le--------This is the voice coil inductance measured in millihenries (mH). The industry standard is to measure inductance at 1,000 Hz. As frequencies get higher there will be a rise in impedance above Re. This is because the voice coil is acting as an inductor. Consequently, the impedance of a speaker is not a fixed resistance, but can be represented as a curve that changes as the input frequency changes. Maximum impedance (Zmax) occurs at Fs.
Q Parameters---------Qms, Qes, and Qts are measurements related to the control of a transducer's suspension when it reaches the resonant frequency (Fs). The suspension must prevent any lateral motion that might allow the voice coil and pole to touch (this would destroy the loudspeaker). The suspension must also act like a shock absorber. Qms is a measurement of the control coming from the speaker's mechanical suspension system (the surround and spider). View these components like springs. Qes is a measurement of the control coming from the speaker's electrical suspension system (the voice coil and magnet). Opposing forces from the mechanical and electrical suspensions act to absorb shock. Qts is called the 'Total Q' of the driver and is derived from an equation where Qes is multiplied by Qms and the result is divided by the sum of the same.
As a general guideline, Qts of 0.4 or below indicates a transducer well suited to a vented enclosure. Qts between 0.4 and 0.7 indicates suitability for a sealed enclosure. Qts of 0.7 or above indicates suitability for free-air or infinite baffle applications. However, there are exceptions! The Eminence Kilomax 18 has a Qts of 0.56. This suggests a sealed enclosure, but in reality it works extremely well in a ported enclosure. Please consider all the parameters when selecting loudspeakers. If you are in any doubt, contact your Eminence representative for technical assistance
Vas/Cms--------Vas represents the volume of air that when compressed to one cubic meter exerts the same force as the compliance (Cms) of the suspension in a particular speaker. Vas is one of the trickiest parameters to measure because air pressure changes relative to humidity and temperature — a precisely controlled lab environment is essential. Cms is measured in meters per Newton. Cms is the force exerted by the mechanical suspension of the speaker. It is simply a measurement of its stiffness. Considering stiffness (Cms), in conjunction with the Q parameters gives rise to the kind of subjective decisions made by car manufacturers when tuning cars between comfort to carry the president and precision to go racing. Think of the peaks and valleys of audio signals like a road surface then consider that the ideal speaker suspension is like car suspension that can traverse the rockiest terrain with race-car precision and sensitivity at the speed of a fighter plane. It’s quite a challenge because focusing on any one discipline tends to have a detrimental effect on the others
Vd------This parameter is the Peak Diaphragm Displacement Volume — in other words the volume of air the cone will move. It is calculated by doubling Xmax (Voice Coil Overhang of the driver) then multiplying the result by Sd (Surface area of the cone). Vd is noted in cc. The highest Vd figure is desirable for a sub-bass transducer
BL------Expressed in Tesla meters, this is a measurement of the motor strength of a speaker. Think of this as how good a weightlifter the transducer is. A measured mass is applied to the cone forcing it back while the current required for the motor to force the mass back is measured. The formula is mass in grams divided by the current in amperes. A high BL figure indicates a very strong transducer that moves the cone with authority!
Mms------This parameter is the combination of the weight of the cone assembly plus the ‘driver radiation mass load’. The weight of the cone assembly is easy: it’s just the sum of the weight of the cone assembly components. The driver radiation mass load is the confusing part. In simple terminology, it is the weight of the air (the amount calculated in Vd) that the cone will have to push
Rms------This parameter represents the mechanical resistance of a driver’s suspension losses. It is a measurement of the absorption qualities of the speaker suspension and is stated in N*sec/m.
EBP-----This measurement is calculated by dividing Fs by Qes. The EBP figure is used in many enclosure design formulas to determine if a speaker is more suitable for a closed or vented design. An EBP close to 100 usually indicates a speaker that is best suited for a vented enclosure. On the contrary, an EBP closer to 50 usually indicates a speaker best suited for a closed box design. This is merely a starting point. Many well-designed systems have violated this rule of thumb! Qts should also be considered.
Xmax/Xmech--------Short for Maximum Linear Excursion. Speaker output becomes non-linear when the voice coil begins to leave the magnetic gap. Although suspensions can create non-linearity in output, the point at which the number of turns in the gap (see BL) begins to decrease is when distortion starts to increase. Eminence has historically been very conservative with this measurement and indicated only the voice coil overhang (Xmax: Voice coil height minus top plate thickness, divided by 2). Xmech is expressed by Eminence as the lowest of four potential failure condition measurements times 2: Spider crashing on top plate; Voice coil bottoming on back plate; Voice coil coming out of gap above core; Physical limitation of cone. Take the lowest of these measurements then multiply it by two. This gives a distance that describes the maximum mechanical movement of the cone.
Sd------This is the actual surface area of the cone, normally given in square cm.
Zmax-----This parameter represents the speaker’s impedance at resonance." -http://caraudiotalk.com/forum/index.php?act=tutorials&CODE=view&id=4
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So that's how ported boxes are specifically tuned. When designing the box, you tune it to a specific frequency (through equations/programs using T/S specs), for example 30hz. This means when you play a 30hz note, the box is at its most efficient, the cone will move the least, but over all output will be the greatest. As the frequency raises higher above tuning, enclosure efficiency decreases and the speaker does more of the work due to cone motion increasing (slowly). Generally a vented enclosure will give a peak boost of 3-4 decibels, at tuning, and will gradually slope off to a flatter response in the higher freqs. The tuning frequency of the enclosure determines the lowest playable frequency of the subwoofer system. Generally the upper most frequency the subwoofer system will play is determined by how the use sets the crossover (to cut out high freqs subs dont play).
Sealed enclosures are tuned by way of internal volume also. But unlike ported systems, sealed boxes are not tuned to specific frequencies, they are tuned to create specific response curves. The size of the sealed box determines how much of an air cushion it provides to the moving cone. This affects the speaker's frequency response. This phenomenon is called the sealed system's Qtc. I'll quote yet again to explain further:
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Qtc - value for the damping provided for a driver in a sealed enclosure. Denotes the enclosures ability to control the driver response at resonance. Qtc = 0.707 is the optimum value for sealed enclosures, providing flattest response and highest SPL for deep bass extension. Enclosures for this value are often rather large. Lower Qtc can give even better transient response, down to a Qtc of 0.577 for the best damping and transients, but the enclosure is usually huge and SPL's are down. A Qtc of 1.0 is a compromise between deep bass and transient response vs. smaller sized enclosure. Larger subs can go with an even higher Qtc, as their resonant frequency is often very low, but Qtc's above 1.5 can begin to sound very muddled and boomy, and sacrifice deep bass extension and transient response for enhanced mid-bass peaks (louder)."
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tch777 said:
Well about 11 years ago when the subs got popular in my small town college I decided I had to have some, but I was broke. Most everyone had those huge MTX boxes with 2, 12inchers in them. I thought they were pretty cool but I did not like how muddy they were. So long story short I bought a Pyramid 10 inch dual voice coil. I built a ported enclosure according to the pyramid reccomendations. I used 5/8 MDF, deck screws, PVC, silicone to seal the box joints, and a tar like speaker sealer around the speaker to box joint. I also stuffed the box with acoustic fill, get the dacron pillow stuffing at Wal-mart same stuff as the expensive stuff in the audio mags. I then wired the dual channels in parrallel and bridged the cheap California amp I had.
That sub hit hard and was clean. I didn't do any competition events with it , but I pissed off all the guys in my Fraternity and the others on Campus. I had about 250 into all of it and only the guys that dropped over around 750 with custom systems and boxes sounded better.
In my opinion 10 inch subs are the best all around sub. They just cover the spectrum of sub and bass really good for all types of music. The 12s and bigger are better for hitting deeper lows but they always sound muddy to me and slow for Rock and Metal. Plus they take less power to run and smaller enclosures. Also when you get it all going, find all the rattles that the sub(s) make and get rid of them. To me there is nothing worse than a great system that eveyone can hear rattling the body of the vehicle. Loose Liscense plates and deck lids are the worst. I had to use all 4 screws on my liscense plates with blue loctite so it wouldn't rattle.
Good luck
It is a common misconception that speaker cone size affects such things as how 'fast' it is or what types of music it works best with. These ideas are simply untrue. Cone size does however affect its frequency response curve. The lower the frequency of a note, the more air that needs to be displaced in order to reproduce that note at any given volume level. So, a larger coned sub (18 versus 10 for example) will most defintely reproduce a 20hz note with more authority than will its 10" counterpart. At some point cone size does affect upper end frequency extension, but car audio subwoofers should never play above 80-120hz anyway (50-60hz ideally). Basically, you want to chose a subwoofer size that accomodates your needs. Larger subs get louder, but also require a larger box. You wont be fitting an 18" sub in a 2-seater compact, but you could fit a 10", for example. Also, you want to size your sub based on the rest of the system. If your front stage consists of 4x6's in the dash, chances are they wont be able to keep up with the output of a decent 18, nor will they reproduce the midbass needed to compliment the monster low ends the 18 will put out. You'll end up with a bass-heavy system. Likewise, if you already have 8" dedicated midbass drivers in your doors playing down to 60hz, it doesn't make alot of sense to only go with 10" subwoofers (for obvious output and frequency response issues).
Woofer 'speed' is not based on motor force versus the cone and coil's moving mass (BL vs Mms) as common sense would seem to imply, but is only a factor of the amount of current passing through the speaker. If this topic interests you more, you can read more about it on Adire's tech paper found here:
http://www.adireaudio.com/Files/TechPapers/WooferSpeed.pdf