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.