article · Mechanics of Advanced Materials and Structures
This research examines the free vibration characteristics of a sandwich nano-plate composed of a functionally graded core and piezoelectric face-sheets. The analytical approach applies a two-variable sinusoidal shear deformation theory alongside nonlocal piezoelasticity relations. Because the structure incorporates functionally graded materials, the formulation specifically accounts for the position of the neutral surface. A parametric study demonstrates how the natural frequencies of the sandwich nano-plate respond to variations in the nonlocal parameter, non-dimensional geometric parameters, and the material inhomogeneous index. To ensure accuracy, the mathematical formulation and the resulting numerical calculations were verified through comparison with a recognised reference.
Understanding how nanoscale sandwich structures with smart piezoelectric layers vibrate helps engineers predict their mechanical response under dynamic loads. Incorporating material gradients and nanoscale effects into structural models provides more accurate mathematical tools for designing advanced composite materials at micro and nano scales.
The abstract does not indicate a direct commercial application pathway. This work represents early-stage theoretical research and numerical modelling. Any eventual use by nano-engineering or structural design specialists remains distant from practical implementation, as the study focuses entirely on basic mathematical formulations and parametric variations without experimental device testing.
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In this article, two-variable sinusoidal shear deformation theory, nonlocal piezoelasticity relations incorporating with concept of neutral surface are employed for free vibration analysis of a sandwich nano-plate. Due to using the functionally graded materials, the concept of neutral surface must be employed through formulation of the problem. A parametric study is performed to show how natural frequencies of sandwich nano-plate are changed in terms of nonlocal parameter, non-dimensional geometric parameters and in-homogeneous index. Before presentation of full numerical results, a comparison with a valid reference is performed to confirm our formulations and corresponding numerical results.
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DOI: 10.1080/15376494.2018.1455939
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