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Advances in Nano Research Volume 15, Number 6, December 2023 , pages 551-565 DOI: https://doi.org/10.12989/anr.2023.15.6.551 |
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Employing GDQ method for exploring undamped vibrational performance of CNT-reinforced porous coupled curved beam |
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Moein A. Ghandehari and Amir R. Masoodi
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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. | ||
| Key Words | ||
| carbon nano tube; coupled curved beams; natural frequency; porous beams; thermal loading | ||
| Address | ||
| Moein A. Ghandehari and Amir R. Masoodi: Department of Civil Engineering, Ferdowsi University of Mashhad, Iran | ||