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Employing GDQ method for exploring undamped vibrational performance of CNT-reinforced porous coupled curved beam

  • Moein A. Ghandehari (Department of Civil Engineering, Ferdowsi University of Mashhad) ;
  • Amir R. Masoodi (Department of Civil Engineering, Ferdowsi University of Mashhad)
  • Received : 2023.05.18
  • Accepted : 2023.09.13
  • Published : 2023.12.25
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Abstract

Coupled porous curved beams, due to their low weight and high flexibility, have many applications in engineering. This study investigates the vibration behavior of coupled porous curved beams in different boundary conditions. The system consists of two curved beams connected by a mid-layer of elastic springs. These beams are made of various materials, such as homogenous steel foam, and composite materials with PMMA (polymethyl methacrylate) and SWCNT (single-walled carbon nanotube) used as the matrix and nanofillers, respectively. To obtain equivalent material properties, the role of mixture (RoM) was employed, followed by the implementation of the porosity function. The system's governing equations were obtained by employing FSDT and Hamilton's law. To investigate thermal vibration, temperature was implemented as a load in the governing equations. The GDQ method was used to solve these equations. To demonstrate the applicability of the GDQ method in calculating the frequencies of the system and the correctness of the developed program, a validation study was conducted. After validation, numerous examples were presented to investigate the behavior of single and coupled curved beams in various material properties and boundary conditions. The results indicate that the frequencies of the curved beams and the system depend highly on the amount of porosity (n) and the distribution pattern. The system frequencies decreased with an increase in the porosity coefficient. The stiffness of the springs had no effect on the first mode frequency but increased frequencies of other modes in a specific range. The frequencies of the system decreased with an increase in environmental temperature.

Keywords

Acknowledgement

The research of the corresponding author is supported by a grant from Ferdowsi University of Mashhad (N2.59254)

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