Structural Engineering and Mechanics

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Dynamic responses analysis of P and S-FGM sandwich cylindrical shell panels using a new layerwise method

  • Karakoti, Abhilash (Department of Mechanical Engineering, National Institute of Technology Jamshedpur) ;
  • Pandey, Shashank (Department of Mechanical Engineering, National Institute of Technology Jamshedpur) ;
  • Kar, Vishesh Ranjan (Department of Mechanical Engineering, National Institute of Technology Jamshedpur)
  • Received : 2021.03.22
  • Accepted : 2021.08.12
  • Published : 2021.11.25
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Abstract

This research work presents a comparison of the dynamic response of the functionally graded sandwich cylindrical shell panels (FGSCS) using a new layerwise method. The layerwise method developed assumes a first-order shear deformation theory (FSDT) for top and bottom facesheets and a third-order shear deformation theory for the core. The strain-displacement relation for FGSCS panels is obtained using Sander's first approximation. Two different sandwich configurations are considered, one having a pure metallic core with top and bottom facesheets made of functionally graded material (FGM) and the other one having an FGM core with top and bottom facesheets made of pure ceramic and pure metal, respectively. Material properties of the FGM layers for the two configurations are varied along the thickness direction according to the power-law (P-FGM) and the sigmoid models (S-FGM) respectively. The newly developed layerwise finite element model in conjunction with Hamilton's principle is employed to obtain the governing differential equation. Subsequently, the Newmark-Beta time integration scheme is used to obtain the dynamic response of P and S functionally graded sandwich cylindrical shell (P and S-FGSCS) panels for two configurations. The results obtained are first compared with the exact analytical results available in the literature. Numerical results are presented to investigate the effect of volume fraction index, loading conditions, core-to-facesheet thickness ratio, curvature ratio and boundary conditions on the transient response of P and S-FGSCS panels. The analysis reveals by selecting optimum parameters and gradation model, the amplitude and frequency of dynamic response of P and S-FGSCS panels can be controlled substantially.

Keywords

Acknowledgement

Shashank Pandey (Corresponding author) is thankful to SERB, Department of Science and Technology, Government of India for providing financial support to this research through a project grant (File No. ECR/2018/002300).

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