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A novel first order refined shear-deformation beam theory for vibration and buckling analysis of continuously graded beams

  • Bekhadda, Ahmed (IS2M Laboratory, Faculty of Technology, Mechanical engineering Department, University Abou Beckr Belkaid (UABT)) ;
  • Cheikh, Abdelmadjid (IS2M Laboratory, Faculty of Technology, Mechanical engineering Department, University Abou Beckr Belkaid (UABT)) ;
  • Bensaid, Ismail (IS2M Laboratory, Faculty of Technology, Mechanical engineering Department, University Abou Beckr Belkaid (UABT)) ;
  • Hadjoui, Abdelhamid (IS2M Laboratory, Faculty of Technology, Mechanical engineering Department, University Abou Beckr Belkaid (UABT)) ;
  • Daikh, Ahmed A. (Mechanics of structures and solids Laboratory, Department of Mechanical Engineering, Faculty of Technology, University of Sidi Bel Abbes)
  • Received : 2018.07.31
  • Accepted : 2019.02.18
  • Published : 2019.05.25
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Abstract

In this work, a novel first-order shear deformation beam theory is applied to explore the vibration and buckling characteristics of thick functionally graded beams. The material properties are assumed to vary across the thickness direction in a graded form and are estimated by a power-law model. A Fourier series-based solution procedure is implemented to solve the governing equation derived from Hamilton's principle. The obtained results of natural frequencies and buckling loads of functionally graded beam are checked with those supplied in the literature and demonstrate good achievement. Influences of several parameters such as power law index, beam geometrical parameters, modulus ratio and axial load on dynamic and buckling behaviors of FGP beams are all discussed.

Keywords

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