Singular integral equations for free vibration problem of a fluid-filled shell of revolution

Abstract

The problem to analyze dynamics of shells of revolution partially filled with an ideal incompressible liquid was reduced to solving the system of singular integral equations. The direct formulation of boundary integral equation method was in use. The singularities in kernels of integral operators obtained were analyzed. The method of numerical simulation was proposed, the comparison of numerical and analytical solutions of singular integral equations was accomplished. The free vibration problem for hemisphere was solved with usage of proposed method.