Date of Completion
differential equations, nonlinear, model, suspension bridge, impulse, stability
Field of Study
Doctor of Philosophy
Historical evidence shows that a traveling wave can traverse the length of a suspension bridge. Using a modified model of a beam, traveling wave solutions can be investigated. The model is a partial differential equation governing its deflection in space and time. Finding its traveling wave solutions converts it into an ordinary differential equation. The cables of the suspension bridge lead to a nonlinearity. Solutions of this model have been explored before, but the work is continued by adding an impulse traveling the length of the bridge. Additionally, the stability of the traveling wave solutions is studied.
Moran, Rebecca, "Traveling Waves in a Suspension Bridge" (2018). Doctoral Dissertations. 1832.