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The vibration
spectrum of two Euler–Bernoulli beams coupled via a
dissipative joint
Chris Abriola, Matthew P. Coleman, Aglika Darakchieva and Tyler Wales |
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Vol. 10 (2017), No. 3, 443–463
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Abstract |
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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. |
Keywords
vibration, eigenfrequency, Euler–Bernoulli beam,
dissipative
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Mathematical Subject Classification 2010
Primary: 74H10, 74H15
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Milestones
Received: 7 November 2015
Revised: 21 January 2016
Accepted: 1 April 2016
Published: 14 December 2016
Communicated by Kenneth S. Berenhaut
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Authors |
| Chris Abriola | |
| Department of Mathematics and
Statistics University of New Hampshire Durham, NH 03824 United States |
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| Matthew P. Coleman | |
| Department of Mathematics and
Computer Science Fairfield University Fairfield, CT 06824 United States |
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| Aglika Darakchieva | |
| Department of Mathematics University of Connecticut Storrs, CT 06269 United States |
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| Tyler Wales | |
| Department of Mathematics Louisiana State University Baton Rouge, LA 70803 United States |
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| © 2017 MSP (Mathematical Sciences Publishers). |
