I'm just making my observations from 2 single graphs.
As far as i understand when something starts to resonate, it will continue to do so in higher harmonics
the higher harmonics exist only because of the original fundamental. they simply would not exist if it wasn't for the original fundamental frequency.
so when you see more higher harmonics, they only way they could be there is if there was more fundamental energy. hence when you see more harmonics, you have more fundamental.
and in this case with more harmonics it would just mean the material is vibrating/resonating more.
as you know its impossible to have something vibrate at the pure fundamental, because their will always be fixed points, and it is those fixed points that will bounce back the fundamental freq and create the higher harmonics.
thats why i think its vibrating more because, there is more upper harmonic content, showing more energy was there at the get go.
Ideally you would have to test every frequency, in a limited bandwidth say 20 to 300hz. and the sample length for each frequency would have to be exactly the same.
then show a spectrum analysis of all those samples combined to see the overall performance of that material.
and whichever had the less amount of peaks would be resonating less. or could at least see what frequencys certain materials are/aren't likely to resonate at. keeping in mind that whatever size the material is and whatever fixed points exist could skew that data.
so i guess it would be somewhat important that all the pieces are the same size and attached at the same points.
and like you said there is no perfect test, but it is only a comparison in similar conditions.
Awesome! Wow, excellent question, and a really good feeder for more discussions!
Yes, the first thing that is important is the fundamental resonant frequency. But, one thing that these Accelerometer tests can show is how much displacement exists at that fundamental frequency.
The testing I did was a swept sine measurement, so I did capture everything along the way, including the frequencies you mention. So, there perhaps is a discussiojn to be had about weather a swept sine frequency measurement can accurately test and represent a cabinet at those lower discrete frequencies. But, I think it can, but Id love to have the conversation!!! Doing discrete tests at certain points can definately be enlightening, based on my experinece, so I totllly agree!
So, think about it this way. No matter where that frequecny is (high , low , or somewhere else), it has a magnitude. Relatively big, or small.
And, then, based on that magnitude and frequency, it creates other harmonics (that is, resonant frequencies based on the original, or primay frequency that the material resonates at).
So, dampening is a property that defines how well any material can lower (or magnify, if it's not good at dampenining) those harmonic frequencies. And, if it makes those frequencies more apparent in the even or odd domains ( Even harmonics are 2f, 4f, 6f, ... Odd harmonics are f, 3f, 5f, ... ) Again, there is a lot of stuff on the internet about what is more pleasing, its subjective, but feel free to search and decide...
With these composite structes, the dampening is very small, (so that is, maybe not a high dampening factor, but there isn't a lot to dampen) but the initial resonance displacement is also exremely small (and at a much higer frequency).
Your comments about the panel size are right on target - and that was something that was a concern to me when I was doing this. The size of my test panes could totally skew the results. I definately acknowledge that. But, becasue they were the same size, I felt like I was doing an apples to apples comparison. But, you are absolutely correct, and in a perfect world, I should have done those measurements with more independant variables, as you describe.
Great comments - keep em comming! I love having these technical discussions!
Rob