- #1
Chrono G. Xay
- 92
- 3
Is it possible to predict the damping coefficient of a string using a mathematical simulation that included the string's diameter, length, frequency (and therefore tension), material density, and elastic modulus (if not also its Poisson's ratio) as opposed to simply looking at the amplitudes of each successive wave? I'm guessing that It would be even more accurate to factor in modes of vibration that are not just the fundamental, as well as how these modes are excited differently based upon where along the string's length it is initially deflected.
I would like to think that we can, but then again do I not also need the density of the atmosphere--assuming it's air, if not a vacuum--and the string's velocity (meaning I would probably need to know the distance of the string's initial transverse displacement, and therefore the restoring force of the deflected string?
I haven't been to find articles that I really understood and didn't just contain cursory knowledge:
http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html#c2
https://en.m.wikipedia.org/wiki/Damping_ratio
I would like to think that we can, but then again do I not also need the density of the atmosphere--assuming it's air, if not a vacuum--and the string's velocity (meaning I would probably need to know the distance of the string's initial transverse displacement, and therefore the restoring force of the deflected string?
I haven't been to find articles that I really understood and didn't just contain cursory knowledge:
http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html#c2
https://en.m.wikipedia.org/wiki/Damping_ratio