Document Type
Article
Article Version
Publisher's PDF
Publication Date
2017
Abstract
The asymptotic estimation of the vibration spectrum for a system of two identical Euler–Bernoulli beams coupled via each of the four standard types of linear dissipative joint has been solved for the case when one beam is clamped and the other beam is free at the outer ends. Here, we generalize those results and solve the problem for all 40 combinations of energy-conserving end conditions. We provide both asymptotic and numerical results, and we compare the various systems with an eye toward determining which configurations lead to asymptotically equivalent vibration spectra.
Publication Title
Involve
Repository Citation
Abriola, Chris; Coleman, Matt; Darakchieva, Aglika; and Wales, Tyler, "The Vibration Spectrum of Two Euler–Bernoulli Beams Coupled Via a Dissipative Joint" (2017). Mathematics Faculty Publications. 50.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/50
Published Citation
Abriola, C., Coleman, M. P., Darakchieva, A., & Wales, T. (2017). The vibration spectrum of two Euler–Bernoulli beams coupled via a dissipative joint. Involve, 10(3), 443-463. doi: 10.2140/involve.2017.10.443.
DOI
10.2140/involve.2017.10.443
Peer Reviewed
Comments
Copyright 2017 MSP (Mathematical Science Publishers)
First published in Involve in Vol. 10 (2017), No. 3, published by Mathematical Sciences Publishers.
The final publisher PDF has been archived here with permission from the copyright holder.