Journal of Structural and Construction Engineering

Journal of Structural and Construction Engineering

Undamped Free Vibration of Temperature-dependent Nanocomposite Annular Plates Reinforced with Carbon Nanotubes Considering Various Boundary Conditions and using Generalized Differential Quadrature Method

Document Type : Original Article

Authors
Amirreza Masoodi 1
Moein A. Ghandehari 2
Hossein Mottaghi 3
1 Assistant Professor, Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
2 Ph.D. Candidate, Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
3 M.Sc. Student, Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
10.22065/jsce.2024.456619.3410
Abstract
In this study, the perspective of first-order shear deformations theory and Hamilton's principle are employed to derive the equations describing the vibrational behavior of a annular plates made of nanocomposite material. The semi-analytical method of Generalized Differential Quadrature (GDQ) is employed to solve these equations. Four different boundary conditions are considered for the studied annular plate. The primary material in the nanocomposite structure consists of a combination of polymethyl methacrylate (PMMA) as the matrix and single-walled carbon nanotubes (SWCNT) as the nanoreinforcer. The mechanical properties of this heterogeneous nanocomposite are determined using the well-known “rule of mixtures” homogenization method. It is noteworthy that the material properties of the nanocomposite are considered temperature-dependent. The obtained results reveal an increase in structure frequencies with an increase in the lateral wave number. In this study, five different patterns used for distribution of nanoreinforcer. The analysis shows that the arrangement of the nanoreinforcer plays a significant role in the vibrational response of the plates. The results present, the largest frequencies associated with the X pattern and the smallest frequencies associated with the O pattern. Furthermore, the natural frequencies of the structure under various temperatures are provided in the results. The frequencies of annular plate decrease as the environment temperature increased.
Keywords
Annular plate
First-order shear deformation (FSDT)
Generalized differential quadrature method (GDQM)
Temperature-dependent
Single-walled carbon nanotubes (SWCNTs)

Subjects

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  • Receive Date 13 May 2024
  • Revise Date 18 July 2024
  • Accept Date 06 November 2024