Award Date

2006

Degree Type

Thesis

Degree Name

Master of Science in Mathematical Science

Department

Mathematical Sciences

First Committee Member

Zhonghai Ding

Second Committee Member

Yitun Chen

Third Committee Member

David Costa

Fourth Committee Member

George Miel

Number of Pages

70

Abstract

In this thesis, we study the traveling waves in a Lazer-McKenna suspension bridge system which is governed by two coupled nonlinear beam and wave equations. The Lazer-McKenna suspension bridge system describes the vertical deflections in the roadbed and supporting cable of a suspension bridge. Based on some basic analysis on the system, we are able to compute traveling waves numerically by using MAPLE. Multiple large-amplitude traveling waves are obtained. The graphs of various traveling waves are displayed and discussed.

Keywords

Suspension bridges; Traveling waves; Coupled nonlinear wave/beam equation; Numerical computation; Large amplitude oscillations

Disciplines

Applied Mathematics

Language

English


Share

COinS