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SamuuLau
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- TL;DR Summary
- How does temperatue affect damping of a guitar string, assuming temperature doesn't change the other factors, such as the wooden guitar?
I am a high school student and recently I have been working on a project about how temperature affects the frequency of a string emits. I have read blogs like https://www.physicsforums.com/threads/tension-and-frequency-with-change-in-temperature.833185/ and completed the part of thermal expansion to the elasticity/tension force. However, another question that strikes me is how does temperature affect the damping of the string.
I looked up some formulas that might be related, such as the model of $$T\frac{\partial^2 y(x,t)}{\partial x^2} + \beta\frac{\partial y(x,t)}{\partial t}-\rho \frac{\partial^2 y(x,t)}{\partial t^2} = 0$$ Where 𝛽 is a viscous damping coefficient.
I searched about what affects the vicous damping coefficeint and I couldn't find temperature as one of the factors. Am I wrong assuming temperatue changes the damping of a guitar string?
Also, I am assuming the temperature has no effect on any material besides the string such as the guitar neck or wood. I am focusing solely on the metal string.
I looked up some formulas that might be related, such as the model of $$T\frac{\partial^2 y(x,t)}{\partial x^2} + \beta\frac{\partial y(x,t)}{\partial t}-\rho \frac{\partial^2 y(x,t)}{\partial t^2} = 0$$ Where 𝛽 is a viscous damping coefficient.
I searched about what affects the vicous damping coefficeint and I couldn't find temperature as one of the factors. Am I wrong assuming temperatue changes the damping of a guitar string?
Also, I am assuming the temperature has no effect on any material besides the string such as the guitar neck or wood. I am focusing solely on the metal string.