Wave Theory of Seismic Resistance of Underground Pipelines
The object of the research is an underground straight horizontal pipeline subjected to seismic impact. The research method was analytical. The results were compared with the experimental results of other authors and computer calculations. It was shown that the main disadvantage of the dynamic theory...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/4/1797 |
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| author | Karim Sultanovich Sultanov Nikolai Ivanovich Vatin |
| author_facet | Karim Sultanovich Sultanov Nikolai Ivanovich Vatin |
| author_sort | Karim Sultanovich Sultanov |
| collection | DOAJ |
| description | The object of the research is an underground straight horizontal pipeline subjected to seismic impact. The research method was analytical. The results were compared with the experimental results of other authors and computer calculations. It was shown that the main disadvantage of the dynamic theory of seismic resistance of underground pipelines is the neglect of the dynamic stress state in soil under seismic wave propagation. The next drawback of the dynamic theory is an inaccurate, approximate accounting for the displacement of the soil medium to which the underground pipeline is embedded. The complete interaction process includes the stages of nonlinear changes in the interaction force (the friction force) by manifesting its peak value and the Coulomb friction. The contact layer of soil undergoes shear deformations until complete structural destruction of the soil contact layer. The interaction force is the friction force, and its peak value does not appear. The seismic resistance of underground pipelines should be considered based on the theory of propagating seismic waves in a soil medium and the interaction of seismic waves with underground pipelines, i.e., based on the wave theory of seismic resistance of underground pipelines. A one-dimensional coupled problem of seismic resistance of underground pipelines under seismic impacts was posed based on the wave theory. An algorithm and a program for the numerical solution of the stated wave problems were developed using the method of characteristics and the method of finite differences. An analysis of the laws of interaction of underground pipelines with soil under seismic influences shows that it is necessary to use in the calculations the laws of interaction that account for the complete interaction processes observed in experiments. The analysis of the obtained numerical solutions and the posed coupled problems of the wave theory of seismic resistance of underground pipelines show the occurrence mechanisms of longitudinal stresses in underground pipelines under seismic influences. The results of calculations stated that an account for the dynamic stress normal to the underground pipeline’s outer surface leads to multiple increases in longitudinal stress in the underground pipeline. This multiple increase is due to the transformation of the interaction force into an active frictional force, resulting from a greater strain in soil than the one in the underground pipeline. Based on the analysis results, a theory of the seismic wave propagation process in an underground pipeline and surrounding soil was proposed. |
| first_indexed | 2024-03-09T00:48:05Z |
| format | Article |
| id | doaj.art-e392797669144c66b1135318ea4182ed |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T00:48:05Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-e392797669144c66b1135318ea4182ed2023-12-11T17:26:20ZengMDPI AGApplied Sciences2076-34172021-02-01114179710.3390/app11041797Wave Theory of Seismic Resistance of Underground PipelinesKarim Sultanovich Sultanov0Nikolai Ivanovich Vatin1Institute of Mechanics and Seismic Stability of Structures Academy of Sciences of the Republic of Uzbekistan, Tashkent 100125, UzbekistanPeter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, RussiaThe object of the research is an underground straight horizontal pipeline subjected to seismic impact. The research method was analytical. The results were compared with the experimental results of other authors and computer calculations. It was shown that the main disadvantage of the dynamic theory of seismic resistance of underground pipelines is the neglect of the dynamic stress state in soil under seismic wave propagation. The next drawback of the dynamic theory is an inaccurate, approximate accounting for the displacement of the soil medium to which the underground pipeline is embedded. The complete interaction process includes the stages of nonlinear changes in the interaction force (the friction force) by manifesting its peak value and the Coulomb friction. The contact layer of soil undergoes shear deformations until complete structural destruction of the soil contact layer. The interaction force is the friction force, and its peak value does not appear. The seismic resistance of underground pipelines should be considered based on the theory of propagating seismic waves in a soil medium and the interaction of seismic waves with underground pipelines, i.e., based on the wave theory of seismic resistance of underground pipelines. A one-dimensional coupled problem of seismic resistance of underground pipelines under seismic impacts was posed based on the wave theory. An algorithm and a program for the numerical solution of the stated wave problems were developed using the method of characteristics and the method of finite differences. An analysis of the laws of interaction of underground pipelines with soil under seismic influences shows that it is necessary to use in the calculations the laws of interaction that account for the complete interaction processes observed in experiments. The analysis of the obtained numerical solutions and the posed coupled problems of the wave theory of seismic resistance of underground pipelines show the occurrence mechanisms of longitudinal stresses in underground pipelines under seismic influences. The results of calculations stated that an account for the dynamic stress normal to the underground pipeline’s outer surface leads to multiple increases in longitudinal stress in the underground pipeline. This multiple increase is due to the transformation of the interaction force into an active frictional force, resulting from a greater strain in soil than the one in the underground pipeline. Based on the analysis results, a theory of the seismic wave propagation process in an underground pipeline and surrounding soil was proposed.https://www.mdpi.com/2076-3417/11/4/1797soilunderground pipelineearthquakeseismic resistanceinteraction forcewave theory |
| spellingShingle | Karim Sultanovich Sultanov Nikolai Ivanovich Vatin Wave Theory of Seismic Resistance of Underground Pipelines Applied Sciences soil underground pipeline earthquake seismic resistance interaction force wave theory |
| title | Wave Theory of Seismic Resistance of Underground Pipelines |
| title_full | Wave Theory of Seismic Resistance of Underground Pipelines |
| title_fullStr | Wave Theory of Seismic Resistance of Underground Pipelines |
| title_full_unstemmed | Wave Theory of Seismic Resistance of Underground Pipelines |
| title_short | Wave Theory of Seismic Resistance of Underground Pipelines |
| title_sort | wave theory of seismic resistance of underground pipelines |
| topic | soil underground pipeline earthquake seismic resistance interaction force wave theory |
| url | https://www.mdpi.com/2076-3417/11/4/1797 |
| work_keys_str_mv | AT karimsultanovichsultanov wavetheoryofseismicresistanceofundergroundpipelines AT nikolaiivanovichvatin wavetheoryofseismicresistanceofundergroundpipelines |