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On propagation of elastic waves in an embedded sigmoid functionally graded curved beam

  • Zhou, Linyun (School of Transportation, Southeast University) ;
  • Moradi, Zohre (Faculty of Engineering and Technology, Department of Electrical Engineering, Imam Khomeini International University) ;
  • Al-Tamimi, Haneen M. (Air Conditioning and Refrigeration Techniques Engineering Department, Al-Mustaqbal University College) ;
  • Ali, H. Elhosiny (Advanced Functional Materials & Optoelectronic Laboratory (AFMOL), Department of Physics, Faculty of Science, King Khalid University)
  • Received : 2021.10.31
  • Accepted : 2022.06.21
  • Published : 2022.07.10
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Abstract

This investigation studies the characteristics of wave dispersion in sigmoid functionally graded (SFG) curved beams lying on an elastic substrate for the first time. Homogenization process was performed with the help of sigmoid function and two power laws. Moreover, various materials such as Zirconia, Alumina, Monel and Nickel steel were explored as curved beams materials. In addition, curved beams were rested on an elastic substrate which was modelled based on Winkler-Pasternak foundation. The SFG curved beams' governing equations were derived according to Euler-Bernoulli curved beam theory which is known as classic beam theory and Hamilton's principle. The resulted governing equations were solved via an analytical method. In order to validate the utilized method, the obtained outcomes were compared with other researches. Finally, the influences of various parameters, including wave number, opening angle, gradient index, Winkler coefficient and Pasternak coefficient were evaluated and indicated in the form of diagrams.

Keywords

Acknowledgement

This work was supported by National Science Foundation of China (51808208). The authors express their appreciation to the Deanship of Scientific Research at King Khalid University, Saudi Arabia, for funding this work through research groups program under grant of number R.G.P.2/96/43.

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