Metadata (abstracts and keywords) for the articles in the journal
O. P. Tkachenko The resolving equations of the mathematical model of curved pipeline // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2017. № 4(34). p. 114-124
Author(s):
O. P. Tkachenko
Index of UDK:
539.384.6+517.955.8
DOI:
Title:
The resolving equations of the mathematical model of curved pipeline
Keywords:
bent pipeline, shell theory, hydroelasticity, asymptotical series
Abstracts:
The resolving equations for mathematical model of the stress-strain state of a pipeline with a curvilinear profile were derived. This model is based on Vlasov’s theory of moment shells. A method is proposed for approximate solution of equations of a mathematical model on the basis of a sequential asymptotic expansion of unknown functions into series in a small parameter and representations of the expansion coefficients in the form of Fourier series. By means of these transformations, the system of equations of the mathematical model was reduced to a one-dimensional form. Numerical constraints on the parameters in the shell equations are given at which such a reduction of the formulation of the problem is possible. One-dimensional equations of the mathematical model of the pipeline in two different formulations are obtained. Conditions are found under which the mathematical model has the simplest form in the framework of the problem formulated.
The contact details of authors:
Tkachenko Oleg Pavlovich
e-mail: olegt1964@gmail.com, Dr. Sci. Phys. & Math., Leading Researcher, Computing Center of Far-Eastern Branch, Russian Academy of Sciences, Khabarovsk 680000, Kim-Yu-Chen st. 65.