Advances in nano research

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An innovative approach for analyzing free vibration in functionally graded carbon nanotube sandwich plates

  • Shahabeddin Hatami (Department of Civil Engineering, Yasouj University) ;
  • Mohammad J. Zarei (Department of Civil Engineering, Yasouj University) ;
  • Seyyed H. Asghari Pari (Department of Civil Engineering, Yasouj University)
  • Received : 2023.10.14
  • Accepted : 2024.06.18
  • Published : 2024.07.25
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Abstract

Functionally graded-carbon nanotube (FG-CNT) is expected to be a new generation of materials with a wide range of potential applications in technological fields such as aerospace, defense, energy, and structural industries. In this paper, an exact finite strip method for functionally graded-carbon nanotube sandwich plates is developed using first-order shear deformation theory to get the exact natural frequencies of the plates. The face sheets of the plates are made of FG-CNT with continuous and smooth grading based on the power law index. The equations of motion have been generated based on the Hamilton principle. By extracting the exact stiffness matrix for any strip of the sandwich plate as a non-algebraic function of natural frequencies, it is possible to calculate the exact free vibration frequencies. The accuracy and efficiency of the current method is established by comparing its findings to the results of the literature works. Examples are presented to prove the efficiency of the generated method to deal with various problems, such as the influence of the length-to-height ratio, the power law index, and a core-to-face sheet thickness of the single and multi-span sandwich plates with various boundary conditions on the natural frequencies. The exact results obtained from this analysis can check the validity and accuracy of other numerical methods.

Keywords

References

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