Structural Engineering and Mechanics

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Vibration analysis of different material distributions of functionally graded microbeam

  • Tlidji, Youcef (Laboratory of Materials et Hydrology, University of Sidi Bel Abbes) ;
  • Zidour, Mohamed (Department of Civil Engineering, Ibn Khaldoun University) ;
  • Draiche, Kadda (Laboratory of Materials et Hydrology, University of Sidi Bel Abbes) ;
  • Safa, Abdelkader (Laboratory of Materials et Hydrology, University of Sidi Bel Abbes) ;
  • Bourada, Mohamed (Laboratory of Materials et Hydrology, University of Sidi Bel Abbes) ;
  • Tounsi, Abdelouahed (Laboratory of Materials et Hydrology, University of Sidi Bel Abbes) ;
  • Bousahla, Abdelmoumen Anis (Laboratory of Materials et Hydrology, University of Sidi Bel Abbes) ;
  • Mahmoud, S.R. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
  • Received : 2018.11.22
  • Accepted : 2019.02.05
  • Published : 2019.03.25
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Abstract

In the current research paper, a quasi-3D beam theory is developed for free vibration analysis of functionally graded microbeams. The volume fractions of metal and ceramic are assumed to be distributed through a beam thickness by three functions, power function, symmetric power function and sigmoid law distribution. The modified coupled stress theory is used to incorporate size dependency of micobeam. The equation of motion is derived by using Hamilton's principle, however, Navier type solution method is used to obtain frequencies. Numerical results show the effects of the function distribution, power index and material scale parameter on fundamental frequencies of microbeams. This model provides designers with guidance to select the proper distributions and functions.

Keywords

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