Analysis of the Vibrational Characteristics of a Sandwich Plate with an Auxetic Core Reinforced with Carbon Fibers under Aerodynamic Forces

Document Type : Original Article

Authors

1 Department of mechanical engineering/Arak University/Arak/Iran

2 Department of Mechanical Engineering, Arak University, Arak, 38156-88349, Iran

3 Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, Iran

10.61882/masm.5.1.43.
Abstract
In the present study, the vibrational analysis of a three-layer sandwich plate with an auxetic core under aerodynamic forces with simply supported boundary conditions has been investigated. In this sandwich plate, the middle layer, or the so-called core, is made of auxetic material. The plate is subjected to aerodynamic forces on one side. To reduce the intensity of vibrations in the structure, the plate has been reinforced with carbon nanotubes. For the analysis and modeling of the plate’s vibrations, the modified shear deformation plate theories were employed, and the aerodynamic force exerted by the airflow on the plate was assumed based on first-order piston theory. Using Hamilton's principle, the governing equations for the vibrational behavior of the sandwich plate were derived, and the Galerkin weighted residual method was utilized to solve these equations. To demonstrate the validity of the obtained relationships and the proposed solution method, the results of this study were compared with results published in reputable journals and numerical solutions obtained using the finite element method through commercial software. Finally, the effects of various parameters such as the geometric dimensions of the sandwich plate, the dimensions of the auxetic core, aerodynamic pressure, and the volume fraction of carbon nanotubes on the vibrations of the structure were examined and analyzed.

Keywords


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Volume 5, Issue 1
Spring 2025
Pages 43-71

  • Receive Date 26 November 2024
  • Revise Date 04 January 2025
  • Accept Date 09 March 2025