Steel and Composite Structures

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Vibration characteristics of functionally graded carbon nanotube-reinforced composite double-beams in thermal environments

  • Zhao, Jing-Lei (College of Mechanical and vehicle Engineering, Chongqing University) ;
  • Chen, Xu (College of Mechanical and vehicle Engineering, Chongqing University) ;
  • She, Gui-Lin (College of Mechanical and vehicle Engineering, Chongqing University) ;
  • Jing, Yan (College of Mechanical and vehicle Engineering, Chongqing University) ;
  • Bai, Ru-Qing (College of Mechanical and vehicle Engineering, Chongqing University) ;
  • Yi, Jin (College of Mechanical and vehicle Engineering, Chongqing University) ;
  • Pu, Hua-Yan (College of Mechanical and vehicle Engineering, Chongqing University) ;
  • Luo, Jun (College of Mechanical and vehicle Engineering, Chongqing University)
  • Received : 2021.08.11
  • Accepted : 2022.05.24
  • Published : 2022.06.25
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Abstract

This paper presents an investigation on the free vibration characteristics of functionally graded nanocomposite double-beams reinforced by single-walled carbon nanotubes (SWCNTs). The double-beams coupled by an interlayer spring, resting on the elastic foundation with a linear layer and shear layer, and is simply supported in thermal environments. The SWCNTs gradient distributed in the thickness direction of the beam forms different reinforcement patterns. The materials properties of the functionally graded carbon nanotube-reinforced composites (FG-CNTRC) are estimated by rule of mixture. The first order shear deformation theory and Euler-Lagrange variational principle are employed to derive the motion equations incorporating the thermal effects. The vibration characteristics under several patterns of reinforcement are presented and discussed. We conducted a series of studies aimed at revealing the effects of the spring stiffness, environment temperature, thickness ratios and carbon nanotube volume fraction on the nature frequency.

Keywords

Acknowledgement

This work was supported by the National Natural Science Foundation of China under Grants 51575329, 61773254, 61625304 and 61873157; in part by Shanghai Rising-Star Program under Grants 17QA1401500; in part by Science and Technology Commission of Shanghai under Grants 16441909400 and 17DZ1205000.

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