Investigation of the natural frequency and damping coefficient of the sandwich beam consisting of a viscoelastic core and nanocomposite face-sheets

Document Type : Solid Mechanics

Authors

1 PhD Student, Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran

2 Associate Professor, Faculty of Mechanical Engineering, Imam Ali Military University, Tehran, Iran

Abstract

In this research, the free vibrations of a sandwich beam with a viscoelastic core and carbon nanotube-reinforced polymer face sheets, under simply supported boundary conditions and using the three-layer sandwich beam theory, have been investigated. Given the fundamental application of sandwich structures with viscoelastic cores in critical industries such as military and aerospace, they are of significant importance for vibration reduction and noise control. The Kelvin-Voigt model has been used to model the viscoelastic core, and using the aforementioned theory and Hamilton's principle, the governing equations of the sandwich structure are derived. The obtained equations are in the form of partial differential equations, and to solve these equations of motion, the analytical Navier method in the spatial domain has been employed. To ensure the validity and accuracy of the numerical results, a comparative approach with reputable published articles has been presented. Finally, the effects of various material and geometric parameters on the natural frequency of the system have been examined. The results indicate that as the structural loss factor increases, the damping of the sandwich beam also increases, consequently reducing the natural frequency of the system.

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History

  • Receive Date: 26 September 2025
  • Revise Date: 04 December 2025
  • Accept Date: 13 December 2025
  • Publish Date: 24 December 2025

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