Nonlinear Bending and Vibration Analysis of Imperfect Functionally Graded Microplate with Porosities Resting on Elastic Foundation Via the Modified Couple Stress Theory

Authors

  • Dang Van Hieu Department of Mechanics, Thai Nguyen University of Technology, Thainguyen, Vietnam

DOI:

https://doi.org/10.13052/ejcm2642-2085.3114

Keywords:

Microplate, functionally graded materials, , nonlinear bending, modified couple stress theory, Kirchhoff plate theory, nonlinear vibration

Abstract

This paper represents the nonlinear bending and free vibration analysis of a simply supported imperfect functionally graded (FG) microplate resting on an elastic foundation based on the modified couple stress theory and the Kirchhoff plate theory (KPT) together with the von-Kármán’s geometrical nonlinearity. The FG microplates with even and uneven distributions of porosities are considered. Analytical solutions for the nonlinear bending and free vibration are obtained. Comparing the obtained results with the published one in the literature shows the accuracy of the current solutions. Numerical examples are further presented to investigate the effects of the material length scale parameter to thickness ratio, the length to thickness ratio, the power-law index and the elastic foundation on the nonlinear bending and free vibration responses of the FG microplate.

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Author Biography

Dang Van Hieu, Department of Mechanics, Thai Nguyen University of Technology, Thainguyen, Vietnam

Dang Van Hieu received the bachelor’s degree in Mechanical Engineering from VNU – University of Science in 2007, the master’s degree in Solids Mechanics from VNU – University of Science in 2011, and the philosophy of doctorate degree in Solids Mechanics from VAST- Graduate University of Science and Technology in 2021, respectively. He is currently working as a Lecture at the Department of Mechanics, Faculty of Automotive and Power Machinery Engineering, TNU-Thai Nguyen University of Technology. His research areas include nonlinear vibration, random vibration and structural dynamics. He has been serving as a reviewer for many highly-respected journals.

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Published

2022-05-07

Issue

Section

Original Article