Not with a box. As I have written before nothing is rigid over the whole range of audible frequencies.
Yes sir, I read what you wrote before. I've read the KEF attachments, the BBC papers, and on your advice revisited my high school and college physics in an effort to keep up. My understanding is about the same as it was before, in that:
- Mechanical stiffness, by definition, describes an object's ability to resist physical deformation in response to force. Stiffness is the inverse of compliance
- Mechanical damping, by definition, describes the loss of energy in a moving system, such as created by a shock absorber
If I have these definitions incorrect, that would certainly explain why I don't understand what you're saying. I was attempting to describe that, under theoretical "ideal" conditions:
- an infinitely stiff material cannot resonate, by definition, because it cannot deform. Spring mechanics break down in the absence of compliance
- a system with infinite damping cannot resonate, because motion is brought to an instantaneous halt
I recognize that neither of these ideal conditions is achievable under practical circumstances. Having said this, I don't agree with your assertion that a box cannot be theoretically rigid enough to prevent resonance over the whole range of audible frequencies, unless you're imposing additional constraints in your definition of a box (e.g. panels of xyz width/length/thickness, made of abc materials). Naively, I could construct a box consisting of one cubic mile of steel, hollow out a 2 inch square, affix an absurdly thick baffle to the hollow, and vent it. I would expect my mile-high steel enclosure to exhibit a Helmholtz resonance, but no cabinet resonance in the audible frequencies, since my system has sufficiently high stiffness and damping as not to exhibit meaningful spring behavior.
More rigid can be worse in a lot of situations but it isn't simple and a proper analysis needs doing to know where nodes and anti-nodes are to see whether "damage" is likely to be done in the way of audible colouration.
I agree. It strikes me as sensible that damping is preferred to stiffness in a box the size of a usual loudspeaker, and that increasing stiffness without considering your overall effects is a bad idea. I don't think pursuing both stiffness and damping in an enclosure is a bad idea - if that's not what you were implying, perhaps I've misunderstood.
Also, earlier, I had said "Intuitively it seems strange to me that we can completely decouple things like resonance and damping", and you had replied that I should hit the books. Having done this, I
still don't understand how we could decouple resonance and damping, since damping seems to describe the ability to attenuate resonance over time.