THE 12 VOLT ENCYCLOPEDIA · VOLUME IX
Sealed Subwoofer Enclosures: Qtc, Air Spring, Volume and Real Tuning
A sealed enclosure looks simple because it has no port. That simplicity is valuable, but it does not eliminate alignment choices. Volume changes the air spring, system resonance, damping, efficiency, excursion and the way the box hands off to vehicle cabin gain.
A sealed box does not have an Fb port tuning
There is no Helmholtz vent resonance to “tune” in the reflex sense. Builders shape a sealed alignment by choosing net volume, which establishes the combined system resonance Fc and total Q, Qtc. Loose fill, leakage and driver variation can move those values. Calling a sealed box “tuned to 32 Hz” is usually shorthand for a modeled response goal, not an actual port tuning.
The air spring
As the cone moves inward it compresses the trapped air; outward motion reduces pressure. That compliance joins the suspension of the driver. A smaller box creates a stiffer spring, raises resonance and increases force opposing displacement. This can reduce excursion in part of the band, but it also requires more amplifier voltage for the same deep-bass output and can create a higher-Q hump.
Qtc in plain English
Qtc describes damping around the closed-box resonance. Around 0.707 is the classic maximally flat mathematical alignment in free space. Lower values are more heavily damped and begin rolling off earlier but gently. Higher values can create more output near resonance and a faster transition below it. No number alone determines sound quality: the cabin, crossover, level and available EQ reshape the result.
The idealized equations
For a conventional model, Qtc = Qts × √(1 + Vas/Vb), and Fc = Fs × √(1 + Vas/Vb). Vb is net internal air volume, not outside dimensions. These equations assume linear parameters and negligible leaks. They show why reducing Vb raises both system Q and resonance. Software adds losses, leakage, inductance, excursion, power and cabin assumptions, but cannot fix inaccurate driver data.
Net volume and displacement
Start with internal dimensions, then subtract the submerged volume of the woofer, braces, terminal cup and any internal structure. Do not subtract loose fiberfill as though it were solid. Measure irregular fiberglass wells by known-volume fill methods or careful 3D geometry. A ten-percent volume error can be meaningful in a very small high-Q enclosure.
Excursion, power and equalization
Below resonance a sealed system typically rolls off near 12 dB per octave acoustically. Cone excursion continues rising as frequency falls. Cabin gain may extend response, but it does not cancel mechanical risk. Low-frequency EQ consumes huge voltage and displacement: a 6 dB boost requests roughly four times the power at the boosted frequency into the same load, before compression and limits.
Leaks and isobaric variants
A sealed cabinet must actually be sealed. A slow cone return after gentle manual displacement is only a rough clue; an impedance sweep is better. Two matched drivers in an isobaric pair can obtain a similar alignment in roughly half the enclosure volume, but efficiency falls and complexity rises. It is a packaging trade, not free output.
Where sealed works well in cars
Sealed boxes suit compact installations, broad bandwidth, predictable rolloff and systems that can use cabin gain or DSP responsibly. They tolerate design error better than many resonant boxes, but they are not automatically “SQ” and ported is not automatically “SPL.” A well-designed sealed system can be loud; it simply trades the port’s resonant efficiency for size, bandwidth and control.
Frequently Asked Questions
What frequency is a sealed box tuned to?
It has a system resonance Fc and Qtc, not a port tuning Fb.
Is Qtc 0.707 always best?
No. It is one reference alignment; cabin gain and listener goals may favor another.
Can I make the box smaller and add more power?
Only within thermal, excursion and compression limits; extra power cannot repeal the air spring.
Does polyfill lower tuning?
It can increase apparent acoustic compliance and change Q, but the effect varies and should be measured.
Do sealed boxes need a subsonic filter?
Sometimes. A protective high-pass can control infrasonic excursion even without a port.
Final Word
Enclosure design is controlled energy management. Choose a topology because its size, passband, efficiency, excursion and construction demands fit the vehicle and listener—not because a nickname wins an internet argument. When the drawing, math, build and measurement agree, the “sorcery” becomes repeatable engineering.