期刊
CASE STUDIES IN THERMAL ENGINEERING
卷 26, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.csite.2021.101170
关键词
Quasi-3D; Nonlocal elasticity theory; Free vibration; Elastic foundation; Functionally graded material; Finite element method; Nanoplates
资金
- Scientific Research Fund of Ho Chi Minh City Open University
This article presents a finite element method based on a quasi-3D nonlocal theory to study the free vibration of functionally graded material nanoplates on an elastic foundation in a thermal environment. The study compares numerical results with previous research to verify accuracy and investigates the effects of various parameters on the free vibration of nanoplates.
This article proposes a finite element method (FEM) based on a quasi-3D nonlocal theory to study the free vibration of functionally graded material (FGM) nanoplates lying on the elastic foundation (EF) in the thermal environment. By applying Hamilton's principle, the governing equations of FGM nanoplates on the EF are obtained. Using the FEM helps solve many complicated problems that analytical solution (AS) cannot be performed yet, such as complex structures, asymmetric problems, variable thickness, etc. The numerical results of this work are compared with those of other published researches to verify accuracy and reliability. In addition, the effects of geometrical parameters, material properties such as the thickness, material exponents, nonlocal coefficients, elastic foundation stiffness, boundary conditions (BCs), and temperature on the free vibration of nanoplates are comprehensively investigated.
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