Calculation of the deformed state of the celullar pipeline with ring support https://doi.org/10.33108/visnyk_tntu2018.04.042
Article Sidebar
Main Article Content
Abstract
The displacement and deflections of reinforced pipeline supports with cellular (hollow) walls are estimated. The investigated pipeline is constructed from a spiral tube. The pipe is divided into finite circular closed cylindrical shells of a certain length, at the ends of which elastic supports having the appropriate stiffness are located. The theory of anisotropic cylindrical shells is used. By the equations of the linear theory of anisotropic
cylindrical shells, the averaged components of the displacement vector are determined. An appropriate system of differential equations is derived in order to establish displacements. The solution of these equations is presented in the form of double trigonometric Fourier series. In this case the normal ground resistance of the pipeline burial is taken into account. As a result, numerical calculations of displacements and deflections of the cellular pipeline are carried out.
Article Details
Issue
Section
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
1. Avdotyn A.S. Prykladnye calculation testis modi tonkostennyh et structurae signari. A.S Avdotyn. M.: Engineering, 1969. 404 p.
2. Arkhipov G.I. Catalogus mathematicae Analysis. G.I. Arkhipov, V.A. Sadovnichy, V.N. Chubarikov. M., G. High LQ., 1999. 695 p.
3. Bazhenov V.A. Yzhyb tsylyndrycheskyh environment conchilia, in upruhoy. V.A. Bazhenov. Leones: High School, 1975. 168 p.
4. Galkin S.I. Calculation tsylyndrycheskoy testa podkreplennoy corpora et actiones sosredotochennyh copias. S.I. Galkin, T.E. Levytskaya. Acta Vsesoyuznoy colloquium in VIII crustae, et ex doctrina p. M., Leonard. Science, 1973. 798 p.
5. Stashchuk M.G. Iudicium licita magnitudinem penetrare indigentiam cellular civitates muratas elementa. M.G. Stashchuk. Physicorum et Cham. Materiae a Materias: 2014. Pp. 60 – 68.
6. Stashchuk N.G. Mechanica corporum elasticorum Tasks pertinebant ad defectum treschynopodobnymy. M.G. Stashchuk. K., Scientiae. 1993. 358 p.
7. Miller I.V. Analysis rigore torperent dzelzsbetona monolithic specularibus integi debebunt plana tubulosae inserit. I.V. Miller. Physico Chymicam: Mechanica materiae. 2014. N 4. Pp. 75 – 80.
8. Shvabauэr V.V. Calculation pipeline de sub terra thermoplastic. Shvabauэr V.V. Hvozdev Polymer fistularum commissuras. 2007. N 3. P. 52 – 56.
9. Timoshenko S.P. Lamellis exhibitos, et pellem completum. A.C. Timoshenko, S.P. Voynovskyy-Krieger. M.: Nauka, 1966. 625 p.
10. Jonson L.E. Alitur dignissim et tibiarum aquae potestate. Borealis. 1996. 156. Pp. 223 – 233.