Steel and Composite Structures

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Vibrational characteristic of FG porous conical shells using Donnell's shell theory

  • Yan, Kai (Key Lab of Building structural Retrofitting and Underground Space Engineering of the Ministry of Education, Shandong Jianzhu University) ;
  • Zhang, Yao (Key Lab of Building structural Retrofitting and Underground Space Engineering of the Ministry of Education, Shandong Jianzhu University) ;
  • Cai, Hao (Key Lab of Building structural Retrofitting and Underground Space Engineering of the Ministry of Education, Shandong Jianzhu University) ;
  • Tahouneh, Vahid (Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University)
  • Received : 2019.07.30
  • Accepted : 2020.03.05
  • Published : 2020.04.25
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Abstract

The main purpose of this research work is to investigate the free vibration of conical shell structures reinforced by graphene platelets (GPLs) and the elastic properties of the nanocomposite are obtained by employing Halpin-Tsai micromechanics model. To this end, a shell model is developed based on Donnell's theory. To solve the problem, the analytical Galerkin method is employed together with beam mode shapes as weighting functions. Due to importance of boundary conditions upon mechanical behavior of nanostructures, the analysis is carried out for different boundary conditions. The effects of boundary conditions, semi vertex angle, porosity distribution and graphene platelets on the response of conical shell structures are explored. The correctness of the obtained results is checked via comparing with existing data in the literature and good agreement is eventuated. The effectiveness and the accuracy of the present approach have been demonstrated and it is shown that the Donnell's shell theory is efficient, robust and accurate in terms of nanocomposite problems.

Keywords

Acknowledgement

The research described in this paper, Founded within Shandong Provincial Key Research and Development Program (Grant: 2018GSF120006) and The National Key Research and Development Plan of China (2017YFC0806102).

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