Dynamics of a fluid-filled curvilinear pipeline

doi:10.1007/s10483-018-2338-9

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (6): 905-922.doi: https://doi.org/10.1007/s10483-018-2338-9

• 论文 • 上一篇

Dynamics of a fluid-filled curvilinear pipeline

V. A. RUKAVISHNIKOV, O. P. TKACHENKO

Computing Center of Far-Eastern Branch, Russian Academy of Sciences, Khabarovsk 680000, Russia

收稿日期:2017-08-14 修回日期:2017-12-29 出版日期:2018-06-01 发布日期:2018-06-01
通讯作者: O. P. TKACHENKO E-mail:olegt1964@gmail.com
基金资助:
Project supported by the Russian Science Foundation (No. 18-11-00021)

Dynamics of a fluid-filled curvilinear pipeline

V. A. RUKAVISHNIKOV, O. P. TKACHENKO

Computing Center of Far-Eastern Branch, Russian Academy of Sciences, Khabarovsk 680000, Russia

Received:2017-08-14 Revised:2017-12-29 Online:2018-06-01 Published:2018-06-01
Contact: O. P. TKACHENKO E-mail:olegt1964@gmail.com
Supported by:
Project supported by the Russian Science Foundation (No. 18-11-00021)

摘要/Abstract

摘要： A mathematical model is presented, and numerical experiments are performed to describe the mechanics of the slow movement of a pipeline. The problem reduction algorithm to one-dimensional formulation is offered. Results of numerical experiment for the model problem are adduced. The proposed mathematical model is found to adequately describe the dynamics of known phenomena of pipes. The cross-sections of the extended curvilinear thin-walled pipeline are numerically demonstrated to experience warping, which has experimental confirmation in the literature.

关键词: KdV equation, spectral method, Galerkin approximation, pseudospectral approximation, hydroelasticity, bent pipeline, shell theory, numerical experiment

Abstract: A mathematical model is presented, and numerical experiments are performed to describe the mechanics of the slow movement of a pipeline. The problem reduction algorithm to one-dimensional formulation is offered. Results of numerical experiment for the model problem are adduced. The proposed mathematical model is found to adequately describe the dynamics of known phenomena of pipes. The cross-sections of the extended curvilinear thin-walled pipeline are numerically demonstrated to experience warping, which has experimental confirmation in the literature.

Key words: KdV equation, spectral method, Galerkin approximation, pseudospectral approximation, numerical experiment, hydroelasticity, shell theory, bent pipeline

中图分类号:

V. A. RUKAVISHNIKOV, O. P. TKACHENKO. Dynamics of a fluid-filled curvilinear pipeline[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(6): 905-922.

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Dynamics of a fluid-filled curvilinear pipeline

Dynamics of a fluid-filled curvilinear pipeline

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