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An innovative system for novel vibration of rotating FG shell with combination of fraction laws

  • Khadimallah, Mohamed Amine (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Al-Thobiani, Faisal (Marine Engineering Department, Faculty of Maritime Studies, King Abdulaziz University) ;
  • Elbahar, Mohamed (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Al Naim, Abdullah F. (Department of Physics, College of Science, King Faisal University) ;
  • Elimame, Elaloui (Laboratory of Materials Applications in Environment, Water and Energy LR21ES15, Faculty of Sciences, University of Gafsa) ;
  • Harbaoui, Imene (Laboratory of Applied Mechanics and Engineering LR-MAI, University Tunis EI Manar-ENIT) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2020.09.17
  • Accepted : 2021.07.12
  • Published : 2021.08.25
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Abstract

A new model with the combination of the Galerkin's technique have been developed for functionally graded cylindrical shell. For the vibrations of rotating cylindrical shells, three volume fraction laws i.e., polynomial, trigonometric and exponential are combined mathematically. The obtained results show that by increasing length-to-radius and height-to-radius ratios, the backward and forward frequency value decreases and increases, respectively. Moreover, on increasing the rotating speed, the backward frequencies increases and forward frequencies decreases. The results generated furnish the evidence regarding applicability of present model with clamped-clamped boundary conditions and also verified by earlier published literature.

Keywords

Acknowledgement

This project was supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under the research project No 16794/01/2020.

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