I'm quite familiar with the equations. Yes, I've built boxes. My current house subs are Jensen 10's in dual chamber ported boxes. They're big, but they give me pretty flat response down to 25 Hz. The dual chamber arrangement gives two resonant frequencies an octave apart and thus loads the cone and controls cone excursion over a wider range of frequencies than a conventional ported box.Mastermind wrote:Gibberish?? Have you ever built subwoofer boxes?
I'm not using it right now, but I also built a "party box" using a pair of the original high efficiency Kicker XPL 10's. The box is a bandpass box tuned for high efficiency using a dual chamber on the ported side. The extra resonant frequency gives it an octave better high frequency range than a normal bandpass.
This is what I meant by "gibberish". Are you trying to say that the port only radiates the upper 1/4 of the wave's amplitude? I can't evaulate the correctness of that because it doesn't even make sense. And it would generate a hideous waveform. Anyway, that's not how a port works.Giving you a port designed to use 1/4 of the sound wave (the peaks of the Fb's sine wave) at the boxes resonate frequency (Fb) which gives you the greatest sound pressure out of the port.
A ported box is a helmholtz resonator. The compliance of the volume within the box acts like a spring and the mass of air in the port act like the mass of a spring-mass oscillator (google that). The woofer excites the air in the box at the resonant frequency and the box resonates. Because the energy transfer from the speaker to the air in the box is very good at the resonant freq, the woofer cone barely moves. It displaces almost no air in the room. It puts almost no sound into the room. The VAST MAJORITY of the sound the box makes at the resonant frequency comes from the port.
I have a pretty good (and pretty rare) book on the topic. I'ts packed up right now but I'll try to find it in the next few weeks.