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Analysis of Diamond Cantilever Vibration (view source)
Revision as of 20:27, 3 November 2012
, 20:27, 3 November 2012→Predictions
[[File:PlankDiagram.jpg|300px|thumb|right|Diagram of cantilever amplitude, with the thickness and length labeled T and L respectively.]]
[[File:PlankDiagram.jpg|300px|thumb|right|Diagram of cantilever amplitude, with the thickness and length labeled T and L respectively.]]
The diamond, when mounted from one corner, can be approximately modeled as a cantilever (a beam fixed at one end and free at the other) with non-uniform width. In order to determine the natural oscillatory motion of the diamond, I decided to develop a mathematical model for the motion of cantilevers with non-uniform width, and test that model with data from physical cantilevers.
The diamond, when mounted from one corner, can be approximately modeled as a cantilever (a beam fixed at one end and free at the other) with non-uniform width. In order to determine the natural oscillatory motion of the diamond, I decided to develop a mathematical model for the motion of cantilevers with non-uniform width, and test that model with data from physical cantilevers.
== Model ==
[[Media:UniformAnalysis.pdf|Uniform-Width Analytical Model]]
[[Media:UniformAnalysis.pdf|Uniform-Width Analytical Model]]