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An innovative fraction laws with ring support: Active vibration control of rotating FG cylindrical shell

  • Mohamed A. Khadimallah (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Abdelhakim Benslimane (Laboratoire de Mecanique Materiaux et Energetique (L2ME), Departement Genie Mecanique, Faculte de Technologie, Universite de Bejaia) ;
  • Imene Harbaoui (Laboratory of Applied Mechanics and Engineering LR-MAI, University Tunis El Manar) ;
  • Sofiene Helaili (Carthage University, Tunisia Polytechnic School) ;
  • Muzamal Hussain (Department of Mathematics, Govt. College University Faisalabad) ;
  • Mohamed R. Ali (Faculty of Engineering and Technology, Future University in Egypt) ;
  • Zafer Iqbal (Department of Mathematics, University of Sargodha) ;
  • Abdelouahed Tounsi (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2020.09.27
  • Accepted : 2023.03.03
  • Published : 2023.04.25
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Abstract

Based on novel Galerkin's technique, the theoretical study gives a prediction to estimate the vibrations of FG rotating cylindrical shell. Terms of ring supports have been introduced by a polynomial function. Three different laws of volume fraction are utilized for the vibration of cylindrical shells. Variation frequencies with the locations of ring supports have been analyzed and these ring supports are placed round the circumferential direction. The base of this approach is an approximate estimation of eigenvalues of proper functions which are the results of solutions of vibrating equation. Each longitudinal wave number corresponds to a particular boundary condition. The results are given in tabular and graphical forms. By increasing different value of height-to-radius ratio, the resulting backward and forward frequencies increase and frequencies decrease on increasing length-to-radius ratio. There is a new form of frequencies is obtained for different positions of ring supports, which is bell shaped. Moreover, on increasing the rotating speed, the backward frequencies increase and forward frequencies decreases.

Keywords

Acknowledgement

This study is supported via funding from Prince Satam bin Abdulaziz University project number (PSAU/2023/R/1444).

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