A new quasi-3D plate theory for free vibration analysis of advanced composite nanoplates

Smain Bezzina , Aicha Bessaim , Mohammed Sid Ahmed Houari , Marc Azab

Abstract

This paper presents an analytical solution to study the combined effect of non-local and stretching effect on the vibration of advanced functionally graded (FG) nanoplates. A new quasi-3D plate theory is presented; there are only five unknowns and any shear correction factor is used. A new displacement field with a new shear warping function is proposed. The equilibrium equations of the FG nanoplates are obtained using the Hamilton principle and solved numerically using the Navier technique. The material properties of functionally graded nanoplates are presumed to change according to the power-law distribution of ceramic and metal constituents. The numerical results of this work are compared with those of other published results to indicate the accuracy and convergence of this theory. Hence, a profound parameterstudy is also performed to show the influence of many parameters of the functionally graded nanoplates on the free vibration responses is investigated.

Key Words

free vibration; functionally graded material; nanoplates; Quasi-3D nonlocal elasticity theory

Address

Smain Bezzina — Deanship for Scientific research, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Aicha Bessaim and Mohammed Sid Ahmed Houari — Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli, Mascara, Algérie
Marc Azab — College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait

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