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deadstar33
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I'm running a finite element simulation of a vibrating guitar string, but I do not know how to calculate the correct damping factor for the string as it oscillates in air. I don't have information regarding how many times it will oscillate before the oscillation damps out, but I do have all the physical characteristics of the string. It has a young's modulus of 205 GPa, a Poisson's ratio of 0.31, the working length of the string is 0.648m, the mass of the string is 8.445 x 10^-4 kg, the density of the string is 8890kg/m^3, and it has a radius of 0.2159 x 10^-3 m. I converted everything into S.I units for convenience in the calculations.
Using this data, is there any way to calculate the damping coefficient between the string and air? I've done research but all the methods I've seen of calculating this require values that I don't have, such as the damping coefficient, c. Also, it requires the stiffness of the string, k. Are Young's modulus (E) and stiffness (k) the same thing? Am I correct in saying they are the inverse of each other? As in, 1/E = k?
Thanks.
Edit: My mistake, it's k = AE/L. So I have now applied this formula and calculated the stiffness to be 46.3269 x 10^3 N/m. Using this, I have calculated the critical damping coefficient using the formula Cc = 2(km)^1/2, so that Cc = 12.5097. Now I just need to calculate the damping coefficient, c. Am I using the right method?
Using this data, is there any way to calculate the damping coefficient between the string and air? I've done research but all the methods I've seen of calculating this require values that I don't have, such as the damping coefficient, c. Also, it requires the stiffness of the string, k. Are Young's modulus (E) and stiffness (k) the same thing? Am I correct in saying they are the inverse of each other? As in, 1/E = k?
Thanks.
Edit: My mistake, it's k = AE/L. So I have now applied this formula and calculated the stiffness to be 46.3269 x 10^3 N/m. Using this, I have calculated the critical damping coefficient using the formula Cc = 2(km)^1/2, so that Cc = 12.5097. Now I just need to calculate the damping coefficient, c. Am I using the right method?
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