In this work we study elastic wave propagation in homogeneous and periodic beams. Considering axial deformation, torsional deformation and Euler-Bernoulli bending deformation theory we develop finite element formulations to predict the dispersion characteristics. We compare the performance between applying the wave propagation solution directly to the governing equation versus applying it at the boundaries.
Finite Element Analysis of Wave Propagation in Periodic Euler-Bernoulli Beams
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Hussein, MI, Elabbasi, N, & Liu, L. "Finite Element Analysis of Wave Propagation in Periodic Euler-Bernoulli Beams." Proceedings of the ASME 2009 International Mechanical Engineering Congress and Exposition. Volume 15: Sound, Vibration and Design. Lake Buena Vista, Florida, USA. November 13–19, 2009. pp. 163-169. ASME. https://doi.org/10.1115/IMECE2009-13232
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