Al-Qadisiyah Journal for Engineering Sciences

Bending, buckling, and vibration analysis of third-order shear deformation nanoplate based on modified couple stress theory

Document Type : Research Paper

Authors

Majid Eskandari Shahraki 1
Mahmoud Shariati 2
Naser Asiaban 3
Mohsen Heydari Beni 4
Mohammad Reza Zamani 4
Jafar Eskandari Jam 4

1 Department of Aerospace Engineering, Faculty of Engineering, Ferdowsi University Of Mashhad, Iran

2 Mahmoud ShariatiDepartment of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, , Mashhad, Iran

3 Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.

4 Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran

https://doi.org/10.30772/qjes.v14i3.734
Abstract
In this paper, a third-order shear deformation rectangular nanoplate with simply supported boundary conditions is developed for bending, buckling, and vibration analysis. In order to consider the small-scale effects, the modified couple stress theory, with one length scale parameter, is used. The bending rates and dimensionless bending values under uniform surface traction and sinusoidal load, the dimensionless critical force under a uniaxial surface force in the x direction and dimensionless frequencies are all obtained for various plate's dimensional ratios and material length scale to thickness ratios. The governing equations are numerically solved. The effect of material length scale, length, width, and thickness of the nanoplate on the bending, buckling, and vibration ratios are investigated and the results are presented and discussed in detail.

Keywords

Stress theory
Shear deformation
Rectangular nanoplate
Navier type solution
Al-Qadisiyah Journal for Engineering Sciences
Volume 14, Issue 3
Summer 2021
Pages 151-159

  • Receive Date 07 April 2021
  • Revise Date 25 June 2021
  • Accept Date 05 August 2021

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