Master of Science in Mathematical Science
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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.
Suspension bridges; Traveling waves; Coupled nonlinear wave/beam equation; Numerical computation; Large amplitude oscillations
Ain, Robert A., "Traveling Waves in a Suspension Bridge System" (2006). UNLV Theses, Dissertations, Professional Papers, and Capstones. 2918.