Anderson localization - waves experiment

[saadsarfraz]

I was doing this experiment with the setup which as follows. You have long aluminium bar which as 28 masses attached to bar evenly. The bar is vibrated at several different frequencies and we see a bunch of normal modes at particular frequencies. the collection of normal modes is called a band i can see the band gaps. my question is how do i find the fundamental frequency of this system? is there a mathematical formula to do this??

 

[Andy Resnick]

I don't understand what this has to do with Anderson localization.

 

[charng]

Thank you for sharing your experience with the Anderson localization experiment. The fundamental frequency of a system can be determined by finding the natural frequency of the system, which is the frequency at which the system vibrates with the least amount of external force. In the case of your experiment, the fundamental frequency would correspond to the lowest frequency at which the aluminium bar vibrates with the least amount of external force.

To find the fundamental frequency, you can use the mathematical formula for natural frequency, which is given by:

f = (1/2π)√(k/m)

Where f is the natural frequency, k is the spring constant of the system, and m is the mass of the vibrating object. In your experiment, the spring constant can be calculated by dividing the force applied to the bar by the displacement of the bar. The mass of the bar can be calculated by dividing the total mass of the bar and attached masses by the number of masses.

Once you have calculated the natural frequency, you can compare it to the frequencies at which the normal modes occur and determine the fundamental frequency of the system. This will help you understand the behavior of the system and the band gaps you observed.

I hope this helps answer your question and provides a better understanding of the fundamental frequency in your experiment. Keep up the good work in your research!