Structural Engineering and Mechanics

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Wave propagation analysis of porous functionally graded curved beams in the thermal environment

  • Xu, Xinli (Structural Vibration Control Group, Qingdao University of Technology) ;
  • Zhang, Chunwei (Structural Vibration Control Group, Qingdao University of Technology) ;
  • Musharavati, Farayi (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Sebaey, Tamer A. (Engineering Management Department, College of Engineering, Prince Sultan University) ;
  • Khan, Afrasyab (Institute of Engineering and Technology, Department of Hydraulics and Hydraulic and Pneumatic Systems, South Ural State University)
  • Received : 2020.10.30
  • Accepted : 2021.06.23
  • Published : 2021.09.25
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Abstract

In the present paper, wave propagation behavior of porous temperature-dependent functionally graded curved beams within the thermal environment is analyzed for the first time. A recently-developed method is utilized which considers the reciprocal effect of mass density and Young's modulus in order to explore the influence of porosity. Three different types of temperature variation (uniform temperature change (UTC), linear temperature change (LTC), sinusoidal temperature change (STC)) are employed to study the effect of various thermal loads. Euler-Bernoulli beam theory, also known as classic beam theory is implemented in order to derive kinetic and kinematic relations, and then Hamilton's principle is used to obtain governing equations of porous functionally graded curved beams. The obtained governing equations are analytically solved. Eventually, the influences of various parameters such as wave number, porosity coefficient, various types of temperature change and power index are covered and indicated in a set of illustrations.

Keywords

Acknowledgement

This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

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