International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Tkachenko O.P.  

Mathematical modelling of process of bending of the extended pipeline

Not ideally laid pipeline are a unstable design, as is known from references. The purpose of work is the numerical analysis of dynamics of the bent pipeline on long intervals of time under influence of an internal stream of a liquid
and resistance of an environment. For several modelling structures deformations of walls of the pipe considered as a technical shell are found both displacements and deformations. It is shown, that deformations can be not small for the pipes meeting in engineering practice. The analysis of angular deformations has shown that cross-section of a pipe has deplanation, that compels to prove application of a hypothesis of flat sections at construction of one-dimensional mathematical models of pipelines. At the numerical analysis the mathematical model of the pipeline earlier published and investigated by the author as technical environment is used.