Advances in nano research

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Nonlinear dynamic stability and vibration analysis of sandwich FG-CNTRC shallow spherical shell

  • Kamran Foroutan (Faculty of Mechanical Engineering, Shahrood University of Technology) ;
  • Akin Atas (Department of Mechanical, Aerospace and Civil Engineering, University of Manchester) ;
  • Habib Ahmadi (Faculty of Mechanical Engineering, Shahrood University of Technology)
  • Received : 2021.03.20
  • Accepted : 2024.07.29
  • Published : 2024.08.25
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Abstract

In this article, the semi-analytical method was used to analyze the nonlinear dynamic stability and vibration analysis of sandwich shallow spherical shells (SSSS). The SSSS was considered as functionally graded carbon nanotube-reinforced composites (FG-CNTRC) with three new patterns of FG-CNTRC. The governing equation was obtained and discretized utilizing the Galerkin method by implementing the von Kármán-Donnell nonlinear strain-displacement relations. The nonlinear dynamic stability was analyzed by means of the fourth-order Runge-Kutta method. Then the Budiansky-Roth criterion was employed to obtain the critical load for the dynamic post-buckling. The approximate solution for the deflection was represented by suitable mode functions, which consisted of the three modes of transverse nonlinear oscillations, including one symmetrically and two asymmetrical mode shapes. The influences of various geometrical characteristics and material parameters were studied on the nonlinear dynamic stability and vibration response. The results showed that the order of layers had a significant influence on the amplitude of vibration and critical dynamic buckling load.

Keywords

References

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