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Archive of Applied Mechanics

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09-10-2019 | Original

The lowest vibration modes of an elastic beam composed of alternating stiff and soft components

Authors: Onur Şahin, Barış Erbaş, Julius Kaplunov, Tomaž Savšek

Published in: Archive of Applied Mechanics | Issue 2/2020

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Abstract

Harmonic vibrations of a strongly inhomogeneous elastic beam with piecewise uniform stiffnesses and densities are considered. The focus is on the lowest eigenmodes, which are often most harmful and unwanted. They are evaluated by perturbing the limiting rigid body translations and rotations of stiff beam components. The developed methodology is adapted for two particular configurations of a three-span beam. The derived approximate formulae are tested by comparison with the exact solution of a symmetric beam with two stiff outer components and free ends.

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Title: The lowest vibration modes of an elastic beam composed of alternating stiff and soft components
Authors: Onur Şahin
Barış Erbaş
Julius Kaplunov
Tomaž Savšek
Publication date: 09-10-2019
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 2/2020
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-019-01612-2

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