Shell motion equations are framed with first order shell theory of Love. Vibration investigation of fluid-filled three layered cylindrical shells is studied here. It is also exhibited that the effect of frequencies is investigated by varying the different layers with constituent material. The coupled and uncoupled frequencies changes with these layers according to the material formation of fluid-filled FG-CSs. A cylindrical shell is immersed in a fluid which is a non-viscous one. These equations are partial differential equations which are usually solved by approximate technique. Robust and efficient techniques are favored to get precise results. 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.

壳运动方程式以Love的一阶壳理论为框架。在此研究了充满流体的三层圆柱壳的振动研究。还显示出通过改变具有组成材料的不同层来研究频率的影响。耦合和解耦频率随这些层的变化而变化，这取决于流体填充的FG-CS的材料形式。将圆柱壳浸入非粘性流体中。这些方程是偏微分方程，通常通过近似技术求解。鲁棒和有效的技术被青睐以获得精确的结果。进行了声波方程的使用，以合并流体中产生的声压。汉高的第二类功能指定了流体影响。