Vibration of Timoshenko Beam-Soil Foundation Interaction by Using the Spectral Element Method

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Hamioud S.; KHALFALLAH S.; Boudaa S.

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Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2020 | Volume:12 | Issue:3 Page(s): 607-619

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Title

Vibration of Timoshenko Beam-Soil Foundation Interaction by Using the Spectral Element Method

Author(s)

Hamioud S. | KHALFALLAH S. | Boudaa S. | Issue Writer Certificate

Keywords

Free-vibration

Non classical boundary conditions

Timoshenko beam

Spectral element method

Finite element method

Beam-soil foundation interaction

Mechanical properties of soil

Abstract

This article presents an analysis of free vibration of elastically supported Timoshenko beams by using the Spectral element method. The governing partial differential equation is elaborated to formulate the spectral stiffness matrix. Effectively, the nonclassical end boundary conditions of the beam are the primordial task to calibrate the phenomenon of the Timoshenko beam-soil foundation interaction. Non-dimensional natural frequencies and shape modes are obtained by solving the partial differential equations, numerically. Upon solving the eigenvalue problem, non-dimensional frequencies are computed for the first three modes of vibration. Obtained results of this study are intended to describe multiple objects, such as: (1) the establishment of the modal analysis with and without elastic springs, (2) the quantification of the influence of the beam soil foundation interaction, (3) the influence of soil foundation stiffness’ on free vibration characteristics of Timoshenko beam. For this propose, the first three eigenvalues of Timoshenko beam are calculated and plotted for various stiffness of translational and rotational springs.

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APA: Copy

Hamioud, S., KHALFALLAH, S., & Boudaa, S.. (2020). Vibration of Timoshenko Beam-Soil Foundation Interaction by Using the Spectral Element Method. JOURNAL OF SOLID MECHANICS, 12(3), 607-619. SID. https://sid.ir/paper/751322/en

Vancouver: Copy

Hamioud S., KHALFALLAH S., Boudaa S.. Vibration of Timoshenko Beam-Soil Foundation Interaction by Using the Spectral Element Method. JOURNAL OF SOLID MECHANICS[Internet]. 2020;12(3):607-619. Available from: https://sid.ir/paper/751322/en

IEEE: Copy

S. Hamioud, S. KHALFALLAH, and S. Boudaa, “Vibration of Timoshenko Beam-Soil Foundation Interaction by Using the Spectral Element Method,” JOURNAL OF SOLID MECHANICS, vol. 12, no. 3, pp. 607–619, 2020, [Online]. Available: https://sid.ir/paper/751322/en

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