Modeling the Dynamic Beam Equation
Mechanics of Solids & Structures Course

Project Summary:

To solidify a connection between my Mechanics of Solids & Structures and Partial Differential Equation courses, I created a guided MATLAB script on Euler-Bernoulli beam theory.

In this workbook, students can walk through the steps taken to derive the beam equation and solve the fourth-order PDE with boundary and initial conditions. They can run the simulations to visualize the independent modes of vibration and how the beam behaves in superposition. Of course, they can also change material and beam properties to see how it affects system behavior. The ultimate goal was for myself and my peers to develop a deeper intuition about how vibrating beams act.

The workbook can be downloaded as an interactable MATLAB script or PDF.