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Nov 29, 2020 at 18:49 comment added Carlo Beenakker I would try physics.stackechange
Nov 29, 2020 at 18:46 comment added Black Carrot @CarloBeenakker, thank you for the explanation and link, that resolves a couple of my questions. I'm sorry if the question is off topic, maybe you can direct me to where it would be more appropriate, or help me to recast it in a more appropriate way. I would also like to understand, if you can direct me to where I can find out more, how the situation would change for a disc that is not clamped around the edge.
Nov 27, 2020 at 21:32 comment added LSpice The name of "this paper" referenced by @CarloBeenakker: Malhaire - Comparison of two experimental methods for the mechanical characterization of thin or thick films from the study of micromachined circular diaphragms.
Nov 27, 2020 at 10:02 comment added Carlo Beenakker the paper you cite is not reliable; in the formula for the frequency $a$ should be the radius, not the diameter of the disc; the shape factor is not dimensionless, so a statement that says it equals 1.44 is meaningless; the formula for the frequencies only applies to a clamped unstressed disc; values of $\lambda$ for that case are in Table 3 of this paper, which seems a more reliable source --- and yes, this question is quite off-topic here.
Nov 27, 2020 at 4:18 history edited Black Carrot CC BY-SA 4.0
added 404 characters in body
Nov 27, 2020 at 4:14 comment added Black Carrot @LSpice, I'm not sure I agree. I'm asking for help from whoever on this site might know more about the background for these calculations than I do. For instance, how the formula should vary with different boundary conditions is a mathematical question, one not addressed in the paper. Why the eigenvalues are different for different materials, and how to determine them, is a potentially mathematical question. Which units to use in a formula is certainly a mathematical question, at least in an applied sense. I could add more clarification to the question if that would help.
Nov 27, 2020 at 3:15 comment added LSpice Aside from possibly the first, none of these seems like a mathematical issue.
Nov 27, 2020 at 3:15 history edited LSpice CC BY-SA 4.0
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Nov 27, 2020 at 2:35 history asked Black Carrot CC BY-SA 4.0