Khorshidi, K., Fallah, A. (2017). Free vibration analysis of size dependent FG rectangular nano/micro plate based on modified nonlinear couple stress shear deformation plate theories. Mechanics of Advanced Composite Structures, (), -. doi: 10.22075/macs.2017.1800.1094
Korosh Khorshidi; Abolfazl Fallah. "Free vibration analysis of size dependent FG rectangular nano/micro plate based on modified nonlinear couple stress shear deformation plate theories". Mechanics of Advanced Composite Structures, , , 2017, -. doi: 10.22075/macs.2017.1800.1094
Khorshidi, K., Fallah, A. (2017). 'Free vibration analysis of size dependent FG rectangular nano/micro plate based on modified nonlinear couple stress shear deformation plate theories', Mechanics of Advanced Composite Structures, (), pp. -. doi: 10.22075/macs.2017.1800.1094
Khorshidi, K., Fallah, A. Free vibration analysis of size dependent FG rectangular nano/micro plate based on modified nonlinear couple stress shear deformation plate theories. Mechanics of Advanced Composite Structures, 2017; (): -. doi: 10.22075/macs.2017.1800.1094
Free vibration analysis of size dependent FG rectangular nano/micro plate based on modified nonlinear couple stress shear deformation plate theories
Articles in Press, Accepted Manuscript , Available Online from 19 August 2017
In the present study, vibration analysis of functionally graded rectangular nano/micro plate is considered based on the modified nonlinear coupled stress exponential and trigonometric shear deformation plate theories. Modified coupled stress theory is a non-classical continuum mechanics theory. In this theory material length scale parameter is applied to catch the size effect of the nanostructures that the earlier classical plate theories are not able to explain. The material properties of the plate are assumed to vary according to a power low form in the thickness direction. The governing equation of motion of the functionally graded rectangular nano/micro plates with different boundary conditions are obtained based on Rayleigh-Ritz method using complete algebraic polynomial displacement and rotation functions. The advantage of the present Rayleigh-Ritz method is that it can easily handle the different boundary conditions at the boundaries of the moderately thick rectangular plates (e.g. C: clamped, S: simply supported and F: Free). A comparison of the results with those available in the literature has been made. Finally, the effect of various parameters such as the power low index, thickness to length scale parameter ratio h/l and aspect ratio a/b on the natural frequency of nano/micro plates are presented and discussed in detail.
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