<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Apr 04, 2017

Page range: 171 - 184

Received: Apr 25, 2014

Accepted: Jun 29, 2014

DOI: https://doi.org/10.1515/auom-2015-0011

Keywords
Bones, Free Vibrations, Initial Stress, Rotation, Transversely Isotropic

© 2015 S. R. Mahmoud et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Apr 04, 2017

Page range: 171 - 184

Received: Apr 25, 2014

Accepted: Jun 29, 2014

DOI: https://doi.org/10.1515/auom-2015-0011

KeywordsBones, Free Vibrations, Initial Stress, Rotation, Transversely Isotropic

© 2015 S. R. Mahmoud et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Bones, Free Vibrations, Initial Stress, Rotation, Transversely Isotropic