Affiliation:
1. Department of Civil Engineering, Faculty of Applied Sciences , Ibn Khaldoun University , Tiaret , Algeria
Abstract
Abstract
This paper shows an analysis of the free vibration of functionally graded simply supported nanoplate. The nonlocal four variables shear deformation plate theory is used to predict the free vibration frequencies of functionally graded nanoplate simply supported using non-local elasticity theory with the introduction of small-scale effects. The effect of the material properties, thickness-length ratio, aspect ratio, the exponent of the power law, the vibration mode is presented, the current solutions are compared to those obtained by other researchers. Equilibrium equations are obtained using the virtual displacements principle. P-FGM Power law is used to have a distribution of material properties that vary across the thickness. The results are in good agreement with those of the literature.
Reference56 articles.
1. [1] Abdelbaki, C., Ahmed, B., Houari, H., Mohammed Sid Ahmed, H., Abdelouahed, T., E. A., A. B. “Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory”, Structural Engineering and Mechanics 57 (4), pp. 617 – 639, 2016. DOI: 10.12989/sem.2016.57.4.61710.12989/sem.2016.57.4.617
2. [2] Choudhury, A., Mondal, S. C., Sarkar, S. “Effect of lamination angle and thickness on analysis of composite plate under thermo mechanical loading”, Strojnícky časopis – Journal of Mechanical Engineering 67 (1), pp. 5 – 22, 2017. DOI: 10.1515/scjme-2017-000110.1515/scjme-2017-0001
3. [3] Abdelbaki, C., Abdelouahed, T., Habib, H., S. R, M. “Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT”, Smart Structures and Systems 19 (3), pp. 289 – 297, 2017. DOI: 10.12989/sss.2017.19.3.28910.12989/sss.2017.19.3.289
4. [4] Ebrahimi, F., Barati, M. R. “On static stability of electro-magnetically affected smart magneto-electro-elastic nanoplates”, Advances in Nano Research 7 (1), pp. 63 – 75, 2019. DOI: 10.12989/anr.2019.7.1.063
5. [5] Ebrahimi, F., Heidari, E. “Surface effects on nonlinear vibration and buckling analysis of embedded FG nanoplates via refined HOSDPT in hygrothermal environment considering physical neutral surface position”, Advances in Aircraft and Spacecraft Science 5 (6), pp. 691 – 729, 2018. DOI: http:10.12989/aas.2018.5.6.691
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