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@jemoka / Jemoka Knowledge Base / wiki/concepts/rossing_1990.md
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--- title: "Rossing 1990" type: concept related: [Tuning Forks, Cantilever Beam] source: https://www.jemoka.com/posts/kbhrossing_1990/ confidence: high status: active --- On the dynamics of Tuning Forks. (Rossing, Russell, and Brown 1992) Characterizing Tuning Forks Aluminum, tines 10mm apart. Four main groups of vibration: Symmetrical In-Plane Antisymmetrical In-Plane Symmetrical Out-Of-Plane Antisymmetrical Out-Of-Plane (a) and (c) are in the first group; (b) is in the second group, where the fork just warps. Deriving Tuning Forks’ Frequency As per before, we can treat tuning forks acting in clang and fundamental modes as a good’ol fashioned cantilever beam. The frequency action of a cantilever beam is defined as follows: Otherwise, for asymmetric modes, we can use the same exact expression but with uniform rods unfixed at either end: Note that density is not uniform at this point (because the bottom handle-y bit.)