期刊
ALEXANDRIA ENGINEERING JOURNAL
卷 61, 期 12, 页码 10025-10044出版社
ELSEVIER
DOI: 10.1016/j.aej.2022.03.007
关键词
Strain gradient theory; Dynamic instability; Elastic foundation; Nanobeams; Refined higher-order shear deformation beam theory; Navier's method; Bolotin's method
资金
- Scientific Research Fund of Ho Chi Minh City Open University
A finite element modeling combined with the strain gradient theory (SGT) and the refined higher-order shear deformation beam theory is developed to study the dynamic instability of magnetically embedded functionally graded porous (FGP) nanobeams. The influences of various parameters on the dynamic instability of nanobeams are studied in detail, revealing their effects on the behavior of nanobeams.
A finite element modeling combined with the strain gradient theory (SGT) and the refined higher-order shear deformation beam theory is developed to study the dynamic instability of magnetically embedded functionally graded porous (FGP) nanobeams. Nanobeams with elastic foundation (EF) subjected to an axially oscillating load are analyzed. Nanobeams are made of functionally graded material (FGM) with an uneven porosity distribution. A three-node beam element with 8 degrees of freedom (DOFs) for two outer nodes and 2 DOFs for the middle node, which has the C-1 and C-2 continuous Hermite shape functions, is used to simulate nanobeams. Besides, Bolotin's method is employed to determine the instability region of FGP nanobeams. The accuracy of the proposed method is tested by comparing it with other published works. In addition, the influences of various parameters such as magnetic potential, small-scale parameter, porosity coefficient, stiffness foundation, boundary conditions (BCs) on the dynamic instability of nanobeams are studied in detail. (C) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University
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