Structural Engineering and Mechanics

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Forced vibration of a sandwich Timoshenko beam made of GPLRC and porous core

  • Mohammad Safari (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Mehdi Mohammadimehr (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Hossein Ashrafi (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
  • Received : 2020.11.16
  • Accepted : 2022.10.06
  • Published : 2023.10.10
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Abstract

In this study, forced vibration behavior of a piezo magneto electric sandwich Timoshenko beam is investigated. It is assumed a sandwich beam with porous core and graphene platelet reinforced composite (GPLRC) in facesheets subjected to magneto-electro-elastic and temperature-dependent material properties. The magneto electro platelets are under linear function along with the thickness that includes a cosine function and magnetic and electric constant potentials. The governing equations of motion are derived using modified strain gradient theory for microstructures. The effects of material length scale parameters, temperature change, different distributions of porous, various patterns of graphene platelets, and the core to face sheets thickness ratio on the natural frequency and excited frequency of a sandwich Timoshenko beam are scrutinized. Various size-dependent methods effects such as MSGT, MCST, and CT on the natural frequency is considered. Moreover, the final results affirm that the increase in porosity coefficient and volume fractions lead to an increase in the amount of natural frequency; while vice versa for the increment in the aspect ratio. From forced vibration analysis, it is understood that by increasing the values of volume fraction and the length thickness of GPL, the maximum deflection of a sandwich beam decreases. Also, it is concluded that increasing the temperature, the thickness of GPL, and the initial force leads to a decrease in the maximum deflection of GPL. It is also shown that resonance phenomenon occurs when the natural and excitation frequencies become equal to each other. Outcomes also reveal that the third natural frequency owns the minimum value of both deflection and frequency ratio and the first natural frequency has the maximum.

Keywords

Acknowledgement

The authors would like to thank the reviewers for their valuable comments and suggestions to improve the clarity of this work. Also, they would like to appreciate the Iranian Nanotechnology Development Committee for sustaining this study and the University of Kashan under Grant No. 8911238/25.

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