Open Access10.22075/MACS.2015.395
Free Vibrations Analysis of Functionally Graded Rectangular Nano-plates based on Nonlocal Exponential Shear Deformation Theory
Korosh Khorshidi,Tahmoores Asgari,Abolfazl Fallah +2 more
- 01 Nov 2015
- Vol. 2, Iss: 2, pp 79-93
TL;DR: In this paper, the free vibration analysis of the functionally graded rectangular nanoplates is investigated and the nonlocal elasticity theory based on the exponential shear deformation theory has been used to obtain the natural frequencies of the nanoplate.
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Abstract: In the present study the free vibration analysis of the functionally graded rectangular nanoplates is investigated. The nonlocal elasticity theory based on the exponential shear deformation theory has been used to obtain the natural frequencies of the nanoplate. In exponential shear deformation theory an exponential functions are used in terms of thickness coordinate to include the effect of transverse shear deformation and rotary inertia. The nonlocal elasticity theory is employed to investigate the effect of the small scale on the natural frequency of the functionally graded rectangular nanoplate. The govering equations and the corresponding boundary conditions are derived by implementing Hamilton’s principle. To show the accuracy of the formulations, the present results in specific cases are compared with available results in the literature and a good agreement is seen. Finally, the effect of the various parameters such as the nonlocal parameter, the power law indexes, the aspect ratio , and the thickness to lenghth ratio on the natural frequencies of the rectangular FG nanoplates is presented and discussed in detail.
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Citations
Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT
Sabrina Boutaleb,Kouider Halim Benrahou,Ahmed Bakora,Ali Algarni,Abdelmoumen Anis Bousahla,Abdelouahed Tounsi,Abdeldjebbar Tounsi,S.R. Mahmoud +7 more
- 01 May 2019
TL;DR: In this paper, a quasi-3D high shear deformation theory (HSDT) was employed to determine the natural frequencies of the nanosize rectangular nanoplates.
101
Buckling analysis of functionally graded rectangular nano-plate based on nonlocal exponential shear deformation theory
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TL;DR: In this paper, the buckling response of functionally graded nano-plate based on exponential shear deformation theory is presented, which is built upon the classical plate theory, an exponential functions are used in terms of thickness co-ordinate to include the effect of transverse deformation and rotary inertia.
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