Journal of Structural and Construction Engineering

Journal of Structural and Construction Engineering

Numerical Analysis of Free Vibration Behavior of Curved Composite Beams Reinforced with Carbon Nanotubes Using a Two-Node Curved Element

Document Type : Original Article

Authors
Amirreza Masoodi 1
Hossein Mottaghi T. 2
Moein A. Ghandehari 3
1 Assistant Professor, Department of Civil Engineering, ّFaculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
2 M.Sc. Student, Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
3 Ph.D. Candidate, Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
10.22065/jsce.2024.458948.3423
Abstract
In this study, a curved finite element is presented to analyze the natural vibration of curved beams within the elastic range, considering the first-order shear deformation theory of Timoshenko beams to achieve high accuracy with fewer elements. The material considered for this element is a composite material reinforced with carbon nanotubes (CNT), incorporating the effect of aggregation. First, using polynomial functions for axial, shear, and rotational deformations of a three-node element, the finite element relationships are established, followed by the construction of the element stiffness matrix. Then, to simplify the stiffness matrix and reduce the degrees of freedom, the middle node of the element is eliminated using the static condensation method, ensuring its effect is accounted for in the remaining degrees of freedom at the two end nodes. This reduces the number of degrees of freedom from 9 to 6. This research includes various mechanical, geometric, and boundary configurations to evaluate the natural vibration characteristics of these composite beams, significantly advancing our understanding of the inherent vibrational dynamics of these beams. Finally, numerical examples are examined to evaluate the accuracy and capability of this method, and a parametric study is conducted to assess the impact of various variables on the natural vibration of these beams.
Keywords
Free vibration
Curved beam
Finite element method (FEM)
First-order shear deformation theory (FSDT)
Composite material
Carbon Nanotubes (CNTs)

Subjects

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  • Receive Date 28 May 2024
  • Revise Date 28 July 2024
  • Accept Date 21 September 2024