Comparison of Different Fiber Distribution Models in Vibration of Functionally Graded Nanocomposite Cylindrical Shells

This research investigates the effects of different functionally graded distribution models on the natural frequencies of a polymer nanocomposite cylindrical shell reinforced with carbon nanotubes. For this purpose, the first and second vibrational frequencies of the functionally graded cylindrical shell under clamped-clamped boundary conditions have been analyzed. In this regard, after property homogenization through the Mori-Tanaka micromechanical model, the problem was analyzed using two-dimensional numerical analysis in axisymmetric problems through the finite element method. Then, to validate the numerical results, the model presented in this research was compared with other references, showing very good agreement between the results of this research and other references, indicating the efficiency of the modeling performed in this research in calculating functionally graded materials. This research showed that the FG-V distribution model has the highest first and second natural frequencies, and the FG-Λ model has the lowest natural frequencies, indicating that the FG-V model was more suitable for reinforcing cylindrical shells than other models.

کلیدواژه ها:

Free vibration ، Finite element method ، Cylindrical shells ، Functionally graded nanocomposites ، Carbon nanotubes