Date of Award
Winter 2017
Project Type
Thesis
Program or Major
Applied Mathematics
Degree Name
Master of Science
First Advisor
Marianna A. Shubov
Second Advisor
Marianna A. Shubov
Third Advisor
Mark Lyon
Abstract
We derive herein approximate spectra for three dierent models of transversely vibrating, beams. Each model consists of a system of partial dierential equations (PDEs) with various, boundary conditions. The three models that we consider are the Euler-Bernoulli model, the, Rayleigh model, and the Timoshenko model. We rst discuss a brief history of the models, before delving into obtaining the spectral equations for each beam model under dierent, boundary conditions. Lastly, we present asymptotic approximations of some of the various, spectral equations we found from each model.
Recommended Citation
Nguyen, Anhhong Rose, "Comparative Spectral Analysis of Flexible Structure Models: the Euler-Bernoulli Beam model, the Rayleigh Beam model, and the Timoshenko Beam Model" (2017). Master's Theses and Capstones. 1160.
https://scholars.unh.edu/thesis/1160