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The role of nonlocality on low and high frequency behaviors of functionally graded sandwich nanoplates

Ghazwani, M.H. and Alnujaie, A. and Eltaher, M.A. and Van Vinh, P. (2024) The role of nonlocality on low and high frequency behaviors of functionally graded sandwich nanoplates. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 104 (8).

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Abstract

The role of nonlocality on low and high frequency behaviors and modes of the functionally graded (FG) sandwich nanoplates is investigated in this study for the first time using simple nonlocal higher-order shear deformation theory (HSDT). The simple HSDT consists of only four unknowns in its equation of the displacement field. The nonlocal elasticity theory is used to consider the small-scale effects on the behaviors of the nanoplates. The governing equations of motion are established by applying Hamilton's principle, then Navier's solution technique is employed to solve these equations to achieve the free vibration behaviors of the FG sandwich nanoplates. The vibrations of the nanoplates under both low and high frequency conditions are investigated, but the high frequency vibration of the nanoplates is discussed extensively. The influences of the geometrical dimensions, material gradient index, and nonlocal parameter on the high frequency vibration of the FG nanoplates are also considered and discussed comprehensively. © 2024 Wiley-VCH GmbH.

Item Type: Article
Divisions: Offices > Office of International Cooperation
Identification Number: 10.1002/zamm.202400088
Uncontrolled Keywords: Elasticity; Nanostructures; Shear deformation, Frequency behavior; Functionally graded; High-frequency vibrations; High-order shear deformation theory; Higher order shear deformation theory; Low and high frequencies; Nanoplates; Nonlocal; Nonlocalities; Simple++, Equations of motion
URI: http://eprints.lqdtu.edu.vn/id/eprint/11267

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