You be the judge:
I posed the following questions to prof Joe Wolfe of physics at the uni of NSW and a specialist in music, speech and the acoustics of musical instruments:
> * In a bass relex cabinet, is the sound energy that emerges from
> the port a result of and dependant on the "springiness" of the cabinet
> walls?
>
> * What laws of physics apply here and would it be possible to
> express this process in terms of these laws?
>
> * If the walls of a speaker cabinet are indeed "live" and
> contribute to the charateristics of the reflected sound, would it
> follow that walls made of different materials would give different
> sonic results both from the port and the drivers [speakers]?
Prof. Wolfe replied:
Let me answer your second question first: yes, indeed physical laws
apply and yes indeed it is possible to quantify the effects. This is
what physics and engineering are all about.
Now to your first question.
Acoustic suspension and ports, as you point out, use the "springiness"
of the air. Technically, one normally talks of the compliance, roughly
the inverse of the springiness. The compliance of the air is in parallel
with that of the walls of the enclosure. This is because, when extra air
goes in and the air is compressed, the walls are bulged out a little, so
the air is less compressed than if the walls were completely rigid.
Hence walls of finite rigidity mean a higher compliance or a less stiff spring.
There is a resonant frequency associated with this combined springiness.
If we are talking about a port, then it is a Helmholtz resonance
(hereafter HR): the mass of air near the port is suspended on the
'spring' of the air & box. One can find this resonance by singing or
playing a note nearby and listening, or putting a microphone inside. HR
is explained in more detail in our web page
http://www.phys.unsw.edu.au/~jw/Helmholtz.htmlIf you have a loudspeaker in a sealed enclosure, then the mass of the
cone is suspended on the combined spring of its mechanical support (the
ridges around the edges), the air and the walls. So the resonant
frequency is different.
How can you tell whether the wall compliance is important?
Actually quite easily. The obvious experiment might seem to be to pump
air in and measure the deformation but several problems (leaks, thermal,
measurement) would make this difficult. Instead, here is the experiment
I recommend:
1) Measure the HR of your enclosure in the normal condition
2) Now bury the enclosure in sand, but keep the sand away from the
port, so that it doesn't block radiation from it (technically : doesn't
much reduce the solid angle of the radiation field). Now measure the HR
of the enclosure. The sand is massive enough that its inertance reduces
the compliance of the enclosure close to zero. You now have the "true"
HR. Without the sand, you have the HR due to the parallel compliance.
Take the ratio of the frequencies and square it. This is (roughly) the
ratio by which you have changed the compliance.
Now to your third question:
Does the finite compliance of the wall mean that different materials
have an effect?
Qualitatively, the answer is yes. However, my prediction is that, for
most MDF enclosures, it will change the HR by less than 10%.
Consequently, the difference in material will be small. However, I'll be
interested to hear any results.
jules