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Effect of the initial stress and rotation on free vibrations in transversely isotropic human long dry bone Cover

Effect of the initial stress and rotation on free vibrations in transversely isotropic human long dry bone

Open Access
|Apr 2017

Abstract

The object of the present paper is to study the influence of the initial stress and rotation on wave propagation of harmonic waves in a human long dry bone as transversely isotropic material, subject to the boundary conditions that the outer and inner surfaces are traction free. The equations of elastodynamic are solved in terms of displacements. The natural frequency of the plane vibrations in the case of harmonic vibrations has been obtained. The frequencies and the phase velocity are calculated numerically, the effects of the initial stress and rotation are discussed. Comparisons are made with the result in the absence of rotation and initial stress.

DOI: https://doi.org/10.1515/auom-2015-0011 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 171 - 184
Submitted on: Apr 25, 2014
Accepted on: Jun 29, 2014
Published on: Apr 4, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 S. R. Mahmoud, M. Marin, K.S. Al-Basyouni, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.