Nonlinear laws of interaction of underground pipelines with soil are considered, based on linear-elastic, visco-elastic laws of shear strain in soils, and Coulomb’s law. Mathematical expressions are derived that relate the parameters of interaction to the strength characteristics of soil under shear, which allows them to be used in calculations for the seismic resistance of underground pipelines.
Similar content being viewed by others
References
J. Dai, L. Wang, C. Hu, and G. Zhang, “Experimental study on seismic response of buried oil and gas pipeline soil layers under lateral multipoint excitation,” Shock Vib., 2021, 1-11 (2021), https://doi.org/10.1155/2021/9887140.
D. Huang, A. Tang, and Z. Wang, “Analysis of pipe-soil interactions using Goodman contact element under seismic action,” Soil Dyn. Earthq. Eng., 139, 106-290 (2020), https://doi.org/10.1016/j.soildyn.2020.106290.
P. Burkov, W. Chun, V. Burkov, and S. Burkova, “FEM analysis of soil-pipe interaction,” AIP Conf. Proc., 560027 (2017), https://doi.org/10.1063/1.4992710.
C. Rajaram, T. Srikanth, P. S. Ajay, M. Kapil, K. R. Bal, and K. R. Pradeep, “Vulnerability assessment of buried pipelines: a case study,” Front. Geotech. Eng., 3, 24-33 (2014), https://doi.org/10.13140/2.1.3840.6727.
K. S. Sultanov, Wave Theory of Seismic Resistance of Underground Structures [in Russian], Fan, Tashkent (2016).
V. Anand and S. R. Satish Kumar, “Seismic soil-structure interaction: a state-of-the-art review,” Structures, 16, 317-326 (2018), https://doi.org/10.1016/j.istruc.2018.10.009.
T. R. Rashidov, Dynamic Theory of Seismic Resistance of Complex Systems of Underground Structures [in Russian], Fan, Tashkent (1973).
T. R. Rashidov and G. Kh. Khozhmetov, Seismic Resistance of Underground Pipelines [in Russian], Fan, Tashkent (1985).
Sh. Okamoto, Introduction to Earthquake Engineering, University of Tokyo Press, Tokyo (1973).
E. M. Yasin and V. I. Chernikin, Sustainability of Underground Pipelines [in Russian], Nauka, Moscow (1967).
A. B. Ainbinder, Calculation of Main and Field Pipelines for Strength and Stability [in Russian], Nedra, Moscow (1992).
P. P. Borodavkin, Underground Main Pipelines [in Russian], Nedra, Moscow (1982).
M. J. O’Rourke and X. Liu, Response of Buried Pipelines Subject to Earthquake Effects, MCEER: Univ. at Buffalo, USA (1999).
M. Sh. Israilov, “Seismodynamics of extended underground structures: the limits of applicability of engineering approaches and the illegality of the analogy with surface structures,” Seismic-Resistant Construction. Building Safety, 1, 55-60 (2017).
S. R. Bashirzade and I. G. Ovchinnikov, “Forecasting the behavior of pipeline structures in complex soil and geological conditions. Part 2. Models of soil-pipeline interaction,” J. Naukovedeniye, 9(1), 18 (2017).
Tashkent Earthquake, April 26, 1966 [in Russian], Fan, Tashkent (1971).
K. S. Sultanov and N. I. Vatin, “Wave Theory of Seismic Resistance of Underground Pipelines,” Appl. Sci., 11, 1797 (2021), https://doi.org/10.3390/app11041797.
K. S. Sultanov and A. A. Bakhodirov, “Laws of shear interaction at contact surfaces between solid bodies and soil,” Soil Mech. Found. Eng., 53, 71–77 (2016).
T. Rashidov, T. Yuldashev, and D. Bekmirzaev, “Seismodynamics of underground pipelines with arbitrary direction of seismic loading,” Soil Mech. Found. Eng., 55, 243–248 (2018).
T. Rashidov and D. Bekmirzaev, “Seismodynamics of pipelines interacting with soil,” Soil Mech. Found. Eng., 52, 149-154 (2015).
A. A. Bakhodirov and K. S. Sultanov, “Waves in a viscoelastic rod surrounded by a soil medium under smooth loading,” МТТ, No. 3, 132-144 (2014).
O. N. Isaev and R. F. Sharafutdinov, “Soil shear strength at the structure interface,” Soil Mech. Found. Eng., 57, 139-146 (2020).
A. A. Bakhodirov, S. I. Ismoilova, and K. S. Sultanov, “Dynamic deformation of the contact layer under shear interaction of the body with soil,” PMM, 79(6), 839-852 (2015).
V. S. Nikiforovsky and E. I. Shemyakin, Dynamic Destruction of Solids [in Russian], Nauka, Novosibirsk (1979).
M. G. Zeitlin and A. A. Kosheleva, “On vibration loading of soil and extraction of long piles and pipes from it,” Osn. Fundam. Mech. Gruntov, No. 3, 13-16 (1984).
K. S. Sultanov, “Nonlinear law of deformation of soft soils,” PMM, 63(3), 503-511 (1998).
L. V. Nikitin, Statics and Dynamics of Rigid Bodies with External Dry Friction [in Russian], Moscow (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 4, July-August, 2022.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Sultanov, K.S. Parameters of Nonlinear Laws of Longitudinal Interaction of Underground Pipelines with Soil. Soil Mech Found Eng 59, 347–353 (2022). https://doi.org/10.1007/s11204-022-09821-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11204-022-09821-8