Derivation of Equations of Resonance

AI Thread Summary
The discussion focuses on deriving the equations of resonance for different shapes of wine glasses—conical, cylindrical, and spherical—used in a vibrations lab experiment. The original poster seeks mathematical derivations that are not provided on Wikipedia, expressing difficulty in finding resources online. A suggestion is made to examine the 1D or 2D wave equations and apply specific boundary conditions to solve them. Familiarity with the separation of variables method for solving partial differential equations (PDEs) is recommended as beneficial for this task. Understanding these mathematical principles is essential for accurately determining the resonance of the glasses.
roldy
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For a vibrations lab experiment, our group decided to determine the resonance of 3 wines glasses, conical, cylindrical, spherical. I know that on Wikipedia they have these equations. What they don't have is how they derived them. I would like to know the math behind these. I've tried searching on the web but to no luck. Is there any place I could find out more or does anyone here know anything about them? Thanks for any help
 
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