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.

Download
COinS