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Numerical Solutions of Wave Propagation in Beams

abstract: In order to verify the dispersive nature of transverse displacement in a beam, a deep understanding of the governing partial differential equation is developed. Using the finite element method and Newmark’s method, along with Fourier transforms and other methods, the aim is to obtain consistent results across each numerical technique. An analytical solution is also analyzed for the Euler-Bernoulli beam in order to gain confidence in the numerical techniques when used for more advance beam theories that do not have a known analytical solution. Three different beam theories are analyzed in this report: The Euler-Bernoulli beam theory, Rayleigh beam theory and Timoshenko beam theory. A comparison of the results show the difference between each theory and the advantages of using a more advanced beam theory for higher frequency vibrations. / Dissertation/Thesis / Masters Thesis Civil Engineering 2016

Identiferoai:union.ndltd.org:asu.edu/item:38587
Date January 2016
ContributorsTschetter, Ryan William (Author), Hjelmstad, Keith D (Advisor), Rajan, Subramaniam (Committee member), Mobasher, Barzin (Committee member), Arizona State University (Publisher)
Source SetsArizona State University
LanguageEnglish
Detected LanguageEnglish
TypeMasters Thesis
Format61 pages
Rightshttp://rightsstatements.org/vocab/InC/1.0/, All Rights Reserved

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