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

سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 270

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شناسه ملی سند علمی:

JR_JSMA-12-3_009

تاریخ نمایه سازی: 18 فروردین 1400

چکیده مقاله:

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 non classical 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.

کلیدواژه ها:

Free-vibration ، Non classical boundary conditions ، Timoshenko beam ، Spectral element method ، Finite Element Method ، Beam-soil foundation interaction ، Mechanical properties of soil

نویسندگان

S Hamioud

Department of Civil Engineering, University of Jijel, Jijel, Algeria

S Khalfallah

Department of Mechanical Engineering, National Polytechnic School, Constantine, Algeria

S Boudaa

Civil Engineering Department, University of Constantine, Constantine, Algeria

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