Oscillations of a Cantilevered Beam

Introduction

We will use integration to explore the mathematics associated with the oscillatory motion of beams. First, we will model the motion of an oscillating cantilevered beam using a linear system of differential equations. However, a comparison of this model with actual experimental data indicates that it is not sufficient. We are then let to use a system of nonlinear partial differential equations as a model for the oscillatory motion of a cantilevered beam.



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Jennifer Powell<jpowell@geom.umn.edu>
Fati Liamidi<liamidi@geom.umn.edu>