Steel and Composite Structures

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Parametric resonance of a spinning graphene-based composite shaft considering the gyroscopic effect

  • Neda Asadi (Faculty of Engineering, Shahrekord University) ;
  • Hadi Arvin (Faculty of Engineering, Shahrekord University) ;
  • Yaghoub Tadi Beni (Faculty of Engineering, Shahrekord University) ;
  • Krzysztof Kamil Zur (Faculty of Mechanical Engineering, Bialystok University of Technology)
  • Received : 2023.08.25
  • Accepted : 2024.05.13
  • Published : 2024.05.25
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Abstract

In this research, for the first time the instability boundaries for a spinning shaft reinforced with graphene nanoplatelets undergone the principle parametric resonance are determined and examined taking into account the gyroscopic effect. In this respect, the extracted equations of motion in our previous research (Ref. Asadi et al. (2023)) are implemented and efficiently upgraded. In the upgraded discretized equations the effect of the Rayleigh's damping and the varying spinning speed is included that leads to a different dynamical discretized governing equations. The previous research was about the free vibration analysis of spinning graphene-based shafts examined by an eigen-value problem analysis; while, in the current research an advanced mechanical analysis is addressed in details for the first time that is the dynamics instability of the aforementioned shaft subjected to the principal parametric resonance. The spinning speed of the shaft is considered to be varied harmonically as a function of time. Rayleigh's damping effect is applied to the governing equations in order to regard the energy loss of the system. Resorting to Bolotin's route, Floquet theory and β-Newmark method, the instability region and its accompanied boundaries are defined. Accordingly, the effects of the graphene nanoplatelet on the instability region are elucidated.

Keywords

Acknowledgement

This research did not receive any specific grant from funding agencies in the public, commercial or not-for profit sectors.

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