Advances in concrete construction

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Application of Kelvin's theory for structural assessment of FG rotating cylindrical shell: Vibration control

  • Khadimallah, Mohamed A. (College of Engineering, Civil Engineering Department, Prince Sattam Bin Abdulaziz University) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Harbaoui, Imene (Laboratory of Applied Mechanics and Engineering LR-MAI, University Tunis EI Manar-ENIT BP37- Le belvedere)
  • Received : 2020.06.24
  • Accepted : 2020.10.21
  • Published : 2020.12.25
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Abstract

In current study, utilizing the Kelvin's theory with polynomial, exponential and trigonometric volume fraction laws for functionally graded cylindrical shell vibrations. Effects of different parameters for ratios of length- and height-to-radius and angular speed versus fundamental natural frequencies been determined for two categories of cylindrical shells with clamped-free edge condition. 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. Moreover, on increasing the rotating speed, the backward frequencies increases and forward frequencies decreases. The frequencies are same when the cylinder is stationary. The frequencies increases and decreases on changing the constituent materials. The frequency results are verified with the earlier literature for the applicability of present model.

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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