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Structural Engineering and Mechanics
  Volume 77, Number 5, March10 2021, pages 587-599
DOI: https://doi.org/10.12989/sem.2021.77.5.587
 


Vibration behavior of bi-dimensional functionally graded beams
Abdellatif Selmi

 
Abstract
    Based on Euler-Bernoulli beam theory and continuous element method, the free vibration of bi-dimensional functionally graded beams is investigated. It is assumed that the material properties vary exponentially along the beam thickness and length. The characteristic frequency equations of beams with different boundary conditions are obtained by transfer matrix method. The validity of the proposed method is assessed through comparison with available results. Parametric studies are carried out to analyze the influences of the gradient indexes and the beam slenderness ratio on the natural frequencies of bidimensional functionally graded beams.
 
Key Words
    bi-dimensional; continuous elements method; free vibration ; functionally graded beam
 
Address
Abdellatif Selmi: Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 16273, Saudi Arabia; Ecole Nationale d'Ingénieurs de Tunis (ENIT), Civil Engineering Laboratory. B.P. 37, Le belvédère 1002, Tunis, Tunisia
 

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