Mechanical Engineering Extended Project: Fourier Series Ideas?

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Hey so this is my first post, I am 17 years old and I am currently doing an extended project on the Fourier Series. I wanted to know if you guys have any ideas for what types of waves I could use.

I want to study Mechanical Engineering at uni and currently my idea is to investigate it with a sound wave, however I realize this focuses more on the Electrical Engineering side. I thought about waves through a material but then you would have to consider other factors such as dampening, which would complicate things a lot more for me.
So if you guys have any suggestions on what type of waves I could anaylse relating to Mechanical Engineering, I'd appreciate it.

Thanks

 

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How about resonances of structures? There's damping involved in that too. But you can pick materials and designs that make it negligible.

Last time I did something like this I just hooked an accelerometer to a spectrum analyzer and whacked the part with a big bolt I found lying around. But you could do Fourier analysis too!

 

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How about resonances of structures? There's damping involved in that too. But you can pick materials and designs that make it negligible.

Last time I did something like this I just hooked an accelerometer to a spectrum analyzer and whacked the part with a big bolt I found lying around. But you could do Fourier analysis too!

Yeah thanks, Ill look into it. Unfortunately for me hitting stuff with a bolt is out of the question as I am focusing more on the theoretical side of things, but thanks for the suggestion!