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Wave Propagation Analysis in Beams Using Shear Deformable Beam Theories Considering Second Spectrum

Published online by Cambridge University Press:  15 May 2017

U. Gul  and
M. Aydogdu
U. Gul*
Affiliation:
Department of Mechanical EngineeringTrakya UniversityEdirne, Turkey
M. Aydogdu
Affiliation:
Department of Mechanical EngineeringTrakya UniversityEdirne, Turkey
*
*Corresponding author (ufukgul@trakya.edu.tr)
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Abstract

In this study, wave propagation in beams is studied using different beam theories like Euler-Bernoulli, Timoshenko and Reddy beam theories. Dispersion curves obtained for these beam theories are compared with the exact plane elasticity solutions. It is obtained that, there are two branches for Reddy beam theory similar to the Timoshenko beam theory. However, one branch is obtained for Euler-Bernoulli beam theory. The effects of in-plane load on Timoshenko and Reddy beam theories are examined and dispersion curves of the Timoshenko and Reddy beams are compared with exact plane elasticity solution. In Timoshenko beam theory, qualitative difference between the two spectrums has been lost with in-plane loads for some wave numbers.

Keywords

Wave propagationTimoshenko beam theoryReddy beam theorySecond spectrum
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 3 , June 2018 , pp. 279 - 289
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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