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Structural Monitoring and Maintenance
  Volume 7, Number 2, June 2020, pages 69-84
DOI: https://doi.org/10.12989/smm.2020.7.2.069
 
open access

Dynamic response of size-dependent porous functionally graded beams under thermal and moving load using a numerical approach
Raad M. Fenjan, Ridha A. Ahmed, Nadhim M. Faleh and Fatima Masood Hani

 
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.
 
Key Words
    forced vibrations; thermal environment; composites; nonlocal strain gradient theory; travelling load; DQM
 
Address
Raad M. Fenjan, Ridha A. Ahmed and Fatima Masood Hani: Al-Mustansiriah University, Engineering Collage P.O. Box 46049, Bab-Muadum, Baghdad 10001, Iraq
Nadhim M. Faleh: Ministry of construction and housing, Iraq
 

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