Date of Completion
5-4-2018
Embargo Period
5-4-2018
Keywords
differential equations, nonlinear, model, suspension bridge, impulse, stability
Major Advisor
Yung-Sze Choi
Associate Advisor
Fabiana Cardetti
Associate Advisor
Dmitriy Leykekhman
Field of Study
Mathematics
Degree
Doctor of Philosophy
Open Access
Open Access
Abstract
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.
Recommended Citation
Moran, Rebecca, "Traveling Waves in a Suspension Bridge" (2018). Doctoral Dissertations. 1832.
https://digitalcommons.lib.uconn.edu/dissertations/1832