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Analysis of Diamond Cantilever Vibration (view source)
Revision as of 14:55, 17 April 2012
, 14:55, 17 April 2012→Predictions
== Predictions ==
== Predictions ==
[[File:{PlankDiagram.pdf|200px|thumb|right|two diamonds and a rectangle]]
[[File:{PlankDiagram.jpg|200px|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.