Bending, buckling, and vibration analysis of third-order shear deformation nanoplate based on modified couple stress theory | ||
| Al-Qadisiyah Journal for Engineering Sciences | ||
| Volume 14, Issue 3, September 2021, Pages 151-159 PDF (582.2 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.30772/qjes.v14i3.734 | ||
| Authors | ||
| Majid Eskandari Shahraki* 1; Mahmoud Shariati2; Naser Asiaban3; Mohsen Heydari Beni4; Mohammad Reza Zamani4; Jafar Eskandari Jam4 | ||
| 1Department of Aerospace Engineering, Faculty of Engineering, Ferdowsi University Of Mashhad, Iran | ||
| 2Mahmoud ShariatiDepartment of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, , Mashhad, Iran | ||
| 3Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran. | ||
| 4Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran | ||
| 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 | ||
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