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Dynamic response of size-dependent porous functionally graded beams under thermal and moving load using a numerical approach

  • Fenjan, Raad M. (Al-Mustansiriah University) ;
  • Ahmed, Ridha A. (Al-Mustansiriah University) ;
  • Faleh, Nadhim M. (Ministry of construction and housing) ;
  • Hani, Fatima Masood (Al-Mustansiriah University)
  • Received : 2019.12.24
  • Accepted : 2020.03.12
  • Published : 2020.06.25
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Abstract

Based on differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT), forced vibrations of a porous functionally graded (FG) scale-dependent beam in thermal environments have been investigated in this study. The nanobeam is assumed to be in contact with a moving point load. NSGT contains nonlocal stress field impacts together with the microstructure-dependent strains gradient impacts. The nano-size beam is constructed by functionally graded materials (FGMs) containing even and un-even pore dispersions within the material texture. The gradual material characteristics based upon pore effects have been characterized using refined power-law functions. Dynamical deflections of the nano-size beam have been calculated using DQM and Laplace transform technique. The prominence of temperature rise, nonlocal factor, strain gradient factor, travelling load speed, pore factor/distribution and elastic substrate on forced vibrational behaviors of nano-size beams have been explored.

Keywords

Acknowledgement

The authors would like to thank Mustansiriyah university (www.uomustansiriyah.edu.iq) Baghdad-Iraq, for their support in the present work.

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