Structural Engineering and Mechanics

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Structural performance of submerged ring support FG shell using numerical ananlysis

  • Khadimallah, Mohamed A. (Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Yahya, Ahmad (Nuclear Engineering Department, King Abdulaziz University) ;
  • Khedher, Khaled Mohamed (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Al-Thobiani, Faisal (Marine Engineering Department, Faculty of Maritime Studie, King Abdulaziz University) ;
  • Tahir, Shauket Ali (Department of Mathematics and Statistics, The University of Lahore) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2020.06.08
  • Accepted : 2021.08.11
  • Published : 2021.11.10
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Abstract

In this study, the cylindrical shell submerged in a fluid and surrounded by ring supports. The use of acoustic wave equation is done to incorporate the sound pressure produced in a fluid. Hankel's functions of second kind designate the fluid influence. Mathematically the integral form of the Lagrange energy functional is converted into a set of three partial differential equations. Shell motion equations are framed first order shell theory due to Love. These equations are partial differential equations which are usually solved by approximate technique. The transverse constraints produced ring supports are assumed by the polynomial functions possessing degree equal to the number of ring supports. The frequencies with ring supports against wave number, length-to-radius ratio and height-to-radius ratio are investigated. The frequency analysis versus wave number for simply supported cylindrical shells submerged in a fluid with ring supports is given for different types of configuration. The variations of frequencies against the positions of the ring supports are furnished for not submerged and submerged cylindrical shells. It is observed that vibration frequencies increase and decreases as the positions of a ring support is increased. Programming is written in MATLAB codes to solve the frequency equation for the computation of frequencies of shells submerged in a fluid along with ring supports. The frequency result of submerged cylindrical shell is less than with the results of not submerged cylindrical shell. Robust and efficient technique produced the valid results.

Keywords

Acknowledgement

The Authors extend their thanks to the Deanship of Scientific Research at King Khalid University for funding this work through the large research groups under grant number RGP. 1/173/42.

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