Mathematical Model of Stress-Strain State of Curved Tube of Non-Circular Cross-Section with Account of Technological Wall Thickness Variation

International Conference "Transport and Storage of Hydrocarbons"

能源学;运输工程;化学工业

Pirogov, S.P.^1 ; Ustinov, N.N.^2 ; Smolin, N.I.^2

Industrial University of Tyumen, 38 Volodarskogo Str, Tyumen

625000, Russia^1

Northern Trans-Ural State Agricultural University, 6 Respubliki Str, Tyumen

625003, Russia^2

关键词: Curved tube;    Effect of pressure;    Energy method;    Linear differential equation;    Non-circular cross-section;    Shell theory;    Stress strain state;    Wall thickness;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/357/1/012037/pdf
DOI  :  10.1088/1757-899X/357/1/012037

来源: IOP

【 摘 要 】

A mathematical model of the stress-strain state of a curved tube of a non-circular cross-section is presented, taking into account the technological wall thickness variation. On the basis of the semi-membrane shell theory, a system of linear differential equations describing the deformation of a tube under the effect of pressure is obtained. To solve the boundary value problem, the method of shooting is applied. The adequacy of the proposed mathematical model is verified by comparison with the experimental data and the results of the calculation of tubes by the energy method.