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Influence of internal pores and graphene platelets on vibration of non-uniform functionally graded columns

  • Liu, Wen-qi (School of Computer Science and Engineering, University of Electronic Science and Technology of China) ;
  • Liu, Shan-jun (Key Lab of Information Network Security, Ministry of Public Security) ;
  • Fan, Ming-yu (School of Computer Science and Engineering, University of Electronic Science and Technology of China) ;
  • Tian, Wei (The 9533 troop of People's Liberation Army of China) ;
  • Wang, Ji-peng (School of Computer Science and Engineering, University of Electronic Science and Technology of China) ;
  • Tahouneh, Vahid (Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University)
  • Received : 2019.12.26
  • Accepted : 2020.03.22
  • Published : 2020.04.25
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Abstract

This paper deals with free vibration analysis of non-uniform column resting on elastic foundations and subjected to follower force at its free end. The internal pores and graphene platelets (GPLs) are distributed in the matrix according to different patterns. The model is proposed with material parameters varying in the thickness of column to achieve graded distributions in both porosity and nanofillers. The elastic modulus of the nanocomposite is obtained by using Halpin-Tsai micromechanics model. The differential quadrature method as an efficient and accurate numerical approach is used to discretize the governing equations and to implement the boundary conditions. It is observed that the maximum vibration frequency obtained in the case of symmetric porosity and GPL distribution, while the minimum vibration frequency is obtained using uniform porosity distribution. Results show that for better understanding of mechanical behavior of nanocomposite column, it is crucial to consider porosities inside the material structure.

Keywords

Acknowledgement

Supported by : Ministry of Public Security, National Natural Science Foundation of China

This work is supported by Key Lab of Information Network Security, Ministry of Public Security (Grant No.C18605), and by the National Natural Science Foundation of China (Grant No. 60373109, 60272091).

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