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Analysis of Diamond Cantilever Vibration (view source)
Revision as of 18:51, 16 January 2013
, 18:51, 16 January 2013→Model
We know that the solutions to the uniform case, as the eigenfunctions of a Hermitian matrix operation, are orthogonal. This means that taking the inner product of any one of these solutions <math> f_l </math> with any other solution <math> f_m </math> is the equivalent of the kronecker delta <math> \delta_{lm}</math>.
We know that the solutions to the uniform case, as the eigenfunctions of a Hermitian matrix operation, are orthogonal. This means that taking the inner product of any one of these solutions <math> f_l </math> with any other solution <math> f_m </math> is the equivalent of the kronecker delta <math> \delta_{lm}</math>.
<math> c_{nl} = \langle f_l,y_n\rangle </math>
To see the process by which the coefficients to the uniform case solutions are found, refer to the document embedded below.
[[Media:NonuniformAnalysisNew.pdf|Nonuniform-Width Analytical Model]]
[[Media:NonuniformAnalysisNew.pdf|Nonuniform-Width Analytical Model]]