Numerical Method for Calculating the Pipe Spatial Vibrations

摘要

The paper is devoted to the problem of calculation of the spatial vibrations of elementary pipeline sections that appear under shock pulse. The equation of the motion and the boundary conditions describing the pipe deflections are presented as the forth-order partial differential equation with the Dirichlet and Neumann boundary conditions. To solve the problem, the numerical method based on finite-difference equations and a regularization technique is proposed. In order to evaluate the efficiency of the proposed method, the computational experiments were carried out. The results demonstrated sufficient accuracy of numerical solutions and confirm the sensitivity of method to changes in system.