106
edits
Changes
Jump to navigation
Jump to search
Line 16:
Line 16: + + + +
Analysis of Diamond Cantilever Vibration (view source)
Revision as of 00:25, 4 November 2012
, 00:25, 4 November 2012→Model
<math>\frac{d^4y}{dx^4}=-(\frac{\rho}{ET^2})\frac{d^2y}{dt^2}</math>
<math>\frac{d^4y}{dx^4}=-(\frac{\rho}{ET^2})\frac{d^2y}{dt^2}</math>
Knowing that the motion of the beam will be oscillatory lets us assume that the solution can be divided into two parts, one representing the maximum amplitude of the motion and the other representing the periodic nature of the motion.
<math>y(x,t)=y__a(x)e^{i\omega t}</math>
[[Media:UniformAnalysis.pdf|Uniform-Width Analytical Model]]
[[Media:UniformAnalysis.pdf|Uniform-Width Analytical Model]]