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Numerical Method for Calculating the Pipe Spatial Vibrations

  • Natalia YaparovaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)

Abstract

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.

Keywords

Finite-difference method Spatial vibrations of pipe Regularization Computational scheme 

Notes

Acknowledgments

The work was supported by the Ministry of Education and Science of the Russian Federation within the framework of the basic part of the State task “Development, research and implementation of data processing algorithms for dynamic measurements of spatially distributed objects”, Terms of Reference 8.9692.2017/8.9 from 17.02.2017.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Computational Mathematics and High Performance ComputingSouth Ural State University (National Research University)ChelyabinskRussia

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