ANALYSIS OF THE STRESS-STRAIN STATE OF A PIPELINE WITH A VISCOELASTIC REPAIR BANDAGE ON DIFFERENT OPERATING MODES

Authors

  • Геннадій Іванович Львов National Technical University «Kharkiv Polytechnic Institute», Kharkiv, Ukraine
  • Володимир Геннадійович Мартиненко National Technical University «Kharkiv Polytechnic Institute», Kharkiv, Ukraine

DOI:

https://doi.org/10.20535/2305-9001.2015.73.39051

Keywords:

pipeline, repair bandage, tension, viscoelasticity, relaxation kernels, Prony series, integral-differential equation

Abstract

The following paper shows an analytical study on the stress-strain state of a steel elastic pipeline section with a fiberglass viscoelastic repair bandage. The aim of the study is to develop an approach to adequate mathematical modeling of viscoelasticity, considering conditions of an installation of the bandage on a loaded pipeline and a tension in it. An original method of a formation of an integral-differential equation in terms of displacements, gained from the full system of equations of viscoelasticity theory for the plane axisymmetric orthotropic case in polar coordinates, allows discovering and exploring such phenomena as stress relaxation in the bandage and their growth in the pipeline section. The developed approach also lets solve obtained boundary value problem analytically. The proposed set of boundary and conjugation conditions reflects different repair and operational modes. An analytical model enables to consider and examine an influence of the prestress conditions in the pipe on a stress-strain state kinetics as well as a change of contact stress due to viscoelatic properties of fiberglass and different values of an initial pressure

Author Biographies

Геннадій Іванович Львов, National Technical University «Kharkiv Polytechnic Institute», Kharkiv

Професор, доктор технічних наук, завідувач кафедри Динаміки та міцності машин НТУ "Харківський Політехнічний Інститут"

Володимир Геннадійович Мартиненко, National Technical University «Kharkiv Polytechnic Institute», Kharkiv

Бакалавр механіки, магістрант кафедри Динаміки та міцності машин НТУ "Харківський Політехнічний Інститут"

References

1. Borodavkin P. P., Berezin V.L., Sooruzheniye magistral'nykh truboprovodov [Construction of main pipelines]. Moscow: Nedra, 1977, 407 pp.

2. Aliyev R. A., Sooruzheniye i remont gazonefteprovodov, gazokhranilishch i neftebaz [Construction and repair of pipelines, gas storage facilities and tank farms]. Moscow: Nedra, 1987, 271 pp.

3. Mustafin F. M., Bykov L. I., Zashchita truboprovodov ot korrozii [Pipeline corrosion protection]. Moscow: Nedra, 2007, 620 pp.

4. Malinin N. N., Prikladnaya teoriya plastichnosti i polzuchesti [Applied theory of plasticity and creep]. Moscow: Mashinostroyeniye, 1975, 400 pp.

5. Moskvitin V.V., Soprotivleniye vyazkouprugikh materialov primenitel'no k zaryadam raketnykh dvigateley na tverdom toplive [Resistance of viscoelastic materials applied to the charges of rocket engines on solid fuel]. Moscow: Nauka, 1972, 327 pp.

6. Duel J. M., Wilson J. M., Kessler J. M., Analysis of a carbon composite overwrap pipeline repair system. International Journal of Pressure Vessels and Piping, Elsevier, 2008, pp. 782-788.

7. Meniconi L., Freire J., Vieira R., Diniz J., Stress analysis of pipelines with composite repairs. ASME, 4th International Pipeline Conference, Calgary, Alberta, Canada, 2002, pp. 1-7.

8. Muliana A., Rajagopal K. R., On the response of viscoelastic biodegradable polymeric solids. Mechanics Research Communications 39, Elsevier, 2012, pp. 51-58.

9. Ivanov S. G., Anoshkin S. G., Zuyko V. Yu., Viscoelastic behavior and durability of steelwire-reinforced polyethylene pipes under a high internal pressure. Mechanics of Composite Materials, 2011, vol. 47, no 2, pp. 194-202.

10. Lvov G. I., Barkanov E., Beschetnikov D., Impact of technological tension on the efficiency of pipelines reinforcement by composite bandages. Mechanics of composite materials, Riga, 2015, vol. 50, no. 6, 12 pp.

11. Lvov G. I., Sukiasov V. G., Issledovaniye vyazkouprugogo deformirovaniya sostavnogo tsilindra [Investigation of viscoelastic deformation of the composite cylinder]. Journal of Dynamics and Strength of Machines of NTU «KhPI», 2013, no 58, pp. 119-124.

12. Lvov G. I., Martynenko V. G., Osoblyvosti modelyuvannya ta analizu dilyanok truboprovodiv z ekspluatatsiynymy defektamy ta v’yazkopruzhnymy remontnymy nakladkamy [Features of modeling and analysis of pipe sections with operational defects and repair viscoelastic plates]. Journal of Dynamics and Strength of Machines of NTU «KhPI», 2013, no 63, pp. 81-90.

13. Lvov G. I., Martynenko V. G., Analitychne doslidzhennya kontaktnoyi povedinky dilyanky truboprovodu z v’yazkopruzhnoyu remontnoyu nakladkoyu [Analytical study of contact behavior of a section of a pipeline with a viscoelastic repair layer]. Journal of Dynamics and Strength of Machines of NTU «KhPI», 2014, no 57, pp. 49-56.

14. Rabotnov Yu. N., Polzuchest' elementov konstruktsiy [Creep of structural elements]. Moscow: Nauka, 1966, 752 pp.

15. Krasnov M. L., Kiselov A. I., Makarenko G. I., Integral'nyye uravneniya [Integral equations]. Moscow: Nauka, 1968, 192 pp.

16. Manzon B M., Maple Power Edition. Moscow: Filin, 1998, 240 pp.

17. Lvov G. I., Martynenko V. G., Chisel'no-analitychne doslidzhennya ortotropnoyi v’yazkopruzhnosti skloplastiku na prykladi remontnoyi nakladky magistral'nogo truboprovoda [Numerical-analytical study of orthotropic viscoelasticity of fiberglass illustrated by repair layer of main pipeline]. Journal of Dynamics and Strength of Machines of NTU «KhPI», 2014, no 58, pp. 68-77.

Published

2015-04-29

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