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Advances in Concrete Construction
  Volume 12, Number 3, September 2021 , pages 195-205

Free vibration of bi-dimensional functionally graded simply supported beams
Abdellatif Selmi

    This paper investigates the free vibration of bi-dimensional functionally graded simply supported beams by using the continuous element method. The material properties are considered to vary exponentially along the beam thickness and length. The characteristic frequency equations of simply supported beams are derived by transfer matrix method. Validation targets are other analytical methods. The effects of the gradient indexes and the beam slenderness ratio on the natural frequencies of bi-dimensional functionally graded beams are studied.
Key Words
    bi-dimensional; continuous elements method; free vibration; functionally graded beam
Abdellatif Selmi: Department of Civil Engineering, College of Engineering, Prince Sattam bin Abdulaziz University, Alkharj, 16273, Saudi Arabia; Civil Engineering Laboratory. B.P. 37, Ecole Nationale d'Ingénieurs de Tunis (ENIT), Le belvédère 1002, Tunis, Tunisia

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