Coupled systems mechanics

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Vibration analysis of nonlocal strain gradient porous FG composite plates coupled by visco-elastic foundation based on DQM

  • Abdulrazzaq, Mohammed Abdulraoof (Engineering Collage, Al-Mustansiriah University) ;
  • Muhammad, Ahmed K. (Engineering Collage, Al-Mustansiriah University) ;
  • Kadhim, Zeyad D. (Engineering Collage, Al-Mustansiriah University) ;
  • Faleh, Nadhim M. (Engineering Collage, Al-Mustansiriah University)
  • Received : 2019.07.29
  • Accepted : 2019.12.14
  • Published : 2020.06.25
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Abstract

This paper employs differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT) for studying free vibrational characteristics of porous functionally graded (FG) nanoplates coupled by visco-elastic foundation. A secant function based refined plate theory is used for mathematical modeling of the nano-size plate. Two scale factors are included in the formulation for describing size influences based on NSGT. The material properties for FG plate are porosity-dependent and defined employing a modified power-law form. Visco-elastic foundation is presented based on three factors including a viscous layer and two elastic layers.The governing equations achieved by Hamilton's principle are solved implementing DQM. The nanoplate vibration is shown to be affected by porosity, temperature rise,scale factors and viscous damping.

Keywords

Acknowledgement

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

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