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

<p>In this investigation, the dynamics of soil-structure interaction (SSI) in frequency domain is investigated. The spectral element method is devoted to study free vibrations of Euler-Bernoulli beam resting on general elastic restraint at the ends and continuous springs against rotation and translation. Thus, partial differential equation of the motion is derived and upon solving the eigenvalue problem, natural frequencies are tabulated for the first three modes of vibration. Obtained results are regrouped in (1) the modal analysis of beams on elastic transversal or rotational rigidities of the continuum under foundation, (2) the influence of properties of elastic medium on the beam dynamic response (3), and the influence of non classical boundary conditions. In consequence, various results of above phenomena are described and commented.</p>
</abstract>

In this investigation, the dynamics of soil-structure interaction (SSI) in frequency domain is investigated. The spectral element method is devoted to study free vibrations of Euler-Bernoulli beam resting on general elastic restraint at the ends and continuous springs against rotation and translation. Thus, partial differential equation of the motion is derived and upon solving the eigenvalue problem, natural frequencies are tabulated for the first three modes of vibration. Obtained results are regrouped in (1) the modal analysis of beams on elastic transversal or rotational rigidities of the continuum under foundation, (2) the influence of properties of elastic medium on the beam dynamic response (3), and the influence of non classical boundary conditions. In consequence, various results of above phenomena are described and commented.

Influence of the Soil-Structure Interaction on Free Vibrations of Beam by the Spectral Element Method

Ph.D. Student, Magister, Civil Engineering Department

Professor, Ph.D., Department of Mechanical Engineering

Professor, Ph.D., Civil Engineering Department

Modelling in Civil Environmental Engineering

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

In this investigation, the dynamics of soil-structure interaction (SSI) in frequency domain is investigated. The spectral element method is devoted to study...

Influence of the Soil-Structure Interaction on Free Vibrations of Beam by the Spectral Element Method

Published Online: Oct 26, 2021

Page range: 51 - 60

DOI: https://doi.org/10.2478/mmce-2021-0005

Keywords
Free-vibration, elastically restrained beam, spectral element method, finite element method, beam-elastic medium interaction, mechanical properties of the medium

© 2021 Souad Boudaa et al., published by Sciendo

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

Influence of the Soil-Structure Interaction on Free Vibrations of Beam by the Spectral Element Method

Published Online: Oct 26, 2021

Page range: 51 - 60

DOI: https://doi.org/10.2478/mmce-2021-0005

KeywordsFree-vibration, elastically restrained beam, spectral element method, finite element method, beam-elastic medium interaction, mechanical properties of the medium

© 2021 Souad Boudaa et al., published by Sciendo

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

Keywords
Free-vibration, elastically restrained beam, spectral element method, finite element method, beam-elastic medium interaction, mechanical properties of the medium