Free and forced vibrations of shell structures interacting with liquid

The method for dynamic analysis of shell structures partially filled with liquid is presented in this paper. The method relies on determining the fluid pressure from the system of singular integral equations. The axisymmetric compound shell of revolution is chosen as the model of capacity for liquid storage. The shell is considered to be a thin one, and Kirghoff–Lave linear theory hypotheses are applied. The liquid is ideal and incompressible. The coupled problem is solved using a combination of reduced BEM and FEM. Differential equations of the transient problem are solved numerically by the Runge-Kutta method of 4th and 5th order. Numerical simulation of free and forced vibrations of the elastic and rigid shells filled with the incompressible fluid under different loadings has been carried out