PECULIARITIES OF MODELING OF STRESS-STRAIN STATE OF PIPELINES THROUGH WHICH GAS-LIQUID MIXTURES WITH AGGRESSIVE COMPONENTS ARE TRANSPORTED
DOI:
https://doi.org/10.31471/1993-9981-2020-2(43)-128-135Keywords:
: pipelines, mixtures with aggressive components, stress state, systems of equilibrium equations, annular stresses, deformed sections.Abstract
The task of estimating the stress-strain state of pipelines through which gas-liquid mixtures with aggressive components are transported is considered, the purpose, object and object of research are established. The analysis of the current state of scientific and technical researches on the given subject is carried out, the circle of unresolved problems is revealed. The combined effect on the pipelines through which gas-liquid mixtures with aggressive components are transported stress – strained state change is estimated by two models - the model for determining the change of the stress-strain state of the pipeline by data on the surface points certain set displacement taking into account the quasi-stationarity of the process. The device uses interpolation smoothing splines and methods of differential geometry, 6 components of strain and stress tensors are determined. In order to substantiate the method of estimation of annular stresses at the wear of the pipeline walls due to the action of the aggressive components of the transported mixtures, systems of equilibrium equations for pipeline sections and for quasi-rectilinear sections with altered cross-section configuration have been derived. Boundaryt conditions for equilibrium equations are established. Calculation formulas for estimation of annular stresses arising under the action of internal pressure for sections with shape defects caused by the action of aggressive components are established. The results of calculations that allow to quantify the change of the most significant ring stresses arising in the pipeline material under the action of internal pressure in the pipeline cross sections, which were exposed to the aggressive components, are presented. It is assumed that the deformed sections are little different from the shape of the circle.
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References
Oliinyk A.P. Matematychni modeli protsesu kvazistatsionarnoho deformuvannia truboprovidnykh ta promyslovykh system pry zmini yikh prostorovoi konfihuratsii: monohrafiia. Ivano-Frankivsk: IFNTUNH, 2010 320 p.
Oliinyk A.P., Zamikhovskyi L.M. Matematychnyi aparat dlia kontroliu napruzheno-deformovanoho stanu truboprovodiv: monohrafiia. Ivano-Frankivsk: IFNTUNH, 2008 306 p.
Nerazrushaiushchyi kontrol y dyahnostyka / pod red. V.V. Kliuieva. 2-e yzd. M.: Mashynostroenye, 2003. 656 p.
Truboprovidnyi transport hazu / za red. M.P. Kovalka. K.: Ahenstvo z ratsionalno vykorystannia enerhii ta ekolohii; 2002. 600p.
Sedov L.Y. Mekhanyka sploshnykh sred. M.: Nauka, 1984. Vol.2. 572 p.
Pobedria B.E. Lektsyy po tenzornomu analyzu. M.: Yz-vo Moskovskoho un-ta, 1986. 264p.
Pobedria B.E., Heorhyevskyi D.V. Lektsyy po teoriyi upruhosty. M.: Edytoryal URSS, 1999. 208 p.
Radkevych O.I., Chumalo H.V. Poshkodzhennia metalu promyslovykh truboprovodiv u sirkovodnevomu seredovyshch. Fizyko-khimichna mekhanika materialu. 2003. No 4. P. 112-114.
Pylypiv L.D., Serediuk M.D. Osoblyvosti hidravlichnoho rozrakhunku truboprovodu pry perekachuvanni viazkoplastychnoi ridyny. Naftohazova enerhetyka. 2007. No.1. P. 27-31.
Laptev A.G., Farahov M.I. Gidromehanicheskie protsesyi neftehimii i energetiki. Kazan: Izd-vo Kazanskogo un-ta, (2008) 729p.
Sinayskiy E.G., Lapiga E.Ya., Zaytsev Yu.V. Separatsiya mnogofaznih mnogokomponentnih sistem. M.: OOO Nedra-Biznestsentr, 2002. 621 p.
Oryilyak I .V., Radchenko S.A. Matematicheskoe reshenie zadachi Beze dlya tonkostennih trub s nachalnyim nesovershenstvom formyi poperechnogo secheniya pri deystvii davleniya. Problemyi prochnost. 2008. No. 3. P.100-123.
Guarracino F. Analytical evaluation of local effects in cylinarical shells tecting and design. Problemyi prochnosti, 2003. No. 5. P.28-35.
Yakubovskyi Yu.Ie., Maliushin H. A., Yakubovska C. B., Platonov O. M. Problemy mitsnosti truboprovidnoho transportu. S.Pb.: Nedra, 2003. 200p.
Yakhno B.O.,Trubachov S.I. Stress-strain state of the cylindrical walled perforated shells .Journal of Mechanical Engineering NTUU «Kyiv Polytechnic Institute». 2003. No. 67. P. 126-130.
Oliinyk A.P., Zamikhovskyi L.M. Ivanyshyn V.P. Vyznachennia napruzheno-deformovanoho stanu truboprovodiv za danymy vnutritrubnoi inspektsii-Nadiinist mashyn ta prohnozuvannia yikh resursu: materialy dop. Mizhnar. nauk.-tekhn. konf. .Ivano-Frankivsk: IFNTUNH, Fakel, 2000. P. 292-296.
Oliinyk A.P., Bolhachenko T.O. Matematychne zabezpechennia dlia otsinky napruzheno-deformovanoho stanu truboprovodiv za danymy inspektsii intelektualnymy porshniamy. Naukovyi visnyk IFNTUNH. 2009. No. 1(19). P.153-156.
Oliinyk A.P., Bolhachenko T.O., Ivanchuk L.M. Teoretychne obhuntuvannia systemy matematychnoi obrobky danykh vnutrishnotrubnoi inspektsii. Naukovi visti Halytskoi akademii. Ivano-Frankivsk, 2009. No. 1(15). P. 11-16.
Oliinyk A.P., Ivasiv O.Ia. Matematychna model napruzheno-deformovanoho stanu kvazitsylindrychnykh til z defektamy poverkhni pid diieiu vnutrishnoho tysku. Metody ta prylady kontroliu yakosti, 2006. No.16. P.8-11.
Instruktsiia z topohrafichnoho zniattia u masshtabakh 1:5000, 1:2000;1:1000 ta 1:500: HKNTA-2.04-02-98: K.:Ukrheoinform, 1998. 155p.
Ratushniak H.S. Topohrafiia z osnovamy kartohrafii. K.: TsNL, 2003. 208p.
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