Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction
The propagation of elastic longitudinal waves in an extended cylindrical body located inside an unstrained body and interacting according to the Coulomb law is considered in the article. The problem is studied in a two-dimensional statement; therefore, the friction force (i.e., the interaction condi...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2023-01-01
|
| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/39/e3sconf_transsiberia2023_10015.pdf |
| _version_ | 1797775768784207872 |
|---|---|
| author | Khusanov Bakhtiyar Rikhsieva Barno Salikhova Zulfiya |
| author_facet | Khusanov Bakhtiyar Rikhsieva Barno Salikhova Zulfiya |
| author_sort | Khusanov Bakhtiyar |
| collection | DOAJ |
| description | The propagation of elastic longitudinal waves in an extended cylindrical body located inside an unstrained body and interacting according to the Coulomb law is considered in the article. The problem is studied in a two-dimensional statement; therefore, the friction force (i.e., the interaction conditions) is included in the system of equations as a boundary condition. The Coulomb friction force arises due to the deformation of a cylindrical body. The reliability of numerical calculations is substantiated by solving test cases and comparing the calculations with experimental results. The numerical results obtained are presented in the form of graphs and analyzed. It is shown that the parameters (stresses and strains) of waves propagating in an elastic cylindrical body with external Coulomb dry friction decay with distance. The mechanism for reducing the stress-strain state and wave parameters is explained by the consumption of elastic energy to overcome the friction force that occurs on the contact surface. The results of the two-dimensional problem are also compared with the results of a similar problem in the one-dimensional theory, where the friction force enters directly into the equations of motion. The deviations of the results of the one-dimensional theory are up to 8-15% depending on the accepted values of the friction coefficient, i.e. the violation of the plane section hypothesis taken in one-dimensional calculations amounts to 15%. With a decrease in the radius of a cylindrical body, these deviations are reduced. |
| first_indexed | 2024-03-12T22:40:23Z |
| format | Article |
| id | doaj.art-81a048d32db040c6878d07d199883a79 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-12T22:40:23Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-81a048d32db040c6878d07d199883a792023-07-21T09:41:05ZengEDP SciencesE3S Web of Conferences2267-12422023-01-014021001510.1051/e3sconf/202340210015e3sconf_transsiberia2023_10015Longitudinal wave propagation in an extended cylindrical body with external Coulomb frictionKhusanov Bakhtiyar0Rikhsieva Barno1Salikhova Zulfiya2IMSSS AS RUz, Dynamics of Soils Structures DepartmentIMSSS AS RUz, Dynamics of Soils Structures DepartmentIMSSS AS RUz, Dynamics of Soils Structures DepartmentThe propagation of elastic longitudinal waves in an extended cylindrical body located inside an unstrained body and interacting according to the Coulomb law is considered in the article. The problem is studied in a two-dimensional statement; therefore, the friction force (i.e., the interaction conditions) is included in the system of equations as a boundary condition. The Coulomb friction force arises due to the deformation of a cylindrical body. The reliability of numerical calculations is substantiated by solving test cases and comparing the calculations with experimental results. The numerical results obtained are presented in the form of graphs and analyzed. It is shown that the parameters (stresses and strains) of waves propagating in an elastic cylindrical body with external Coulomb dry friction decay with distance. The mechanism for reducing the stress-strain state and wave parameters is explained by the consumption of elastic energy to overcome the friction force that occurs on the contact surface. The results of the two-dimensional problem are also compared with the results of a similar problem in the one-dimensional theory, where the friction force enters directly into the equations of motion. The deviations of the results of the one-dimensional theory are up to 8-15% depending on the accepted values of the friction coefficient, i.e. the violation of the plane section hypothesis taken in one-dimensional calculations amounts to 15%. With a decrease in the radius of a cylindrical body, these deviations are reduced.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/39/e3sconf_transsiberia2023_10015.pdf |
| spellingShingle | Khusanov Bakhtiyar Rikhsieva Barno Salikhova Zulfiya Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction E3S Web of Conferences |
| title | Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction |
| title_full | Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction |
| title_fullStr | Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction |
| title_full_unstemmed | Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction |
| title_short | Longitudinal wave propagation in an extended cylindrical body with external Coulomb friction |
| title_sort | longitudinal wave propagation in an extended cylindrical body with external coulomb friction |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/39/e3sconf_transsiberia2023_10015.pdf |
| work_keys_str_mv | AT khusanovbakhtiyar longitudinalwavepropagationinanextendedcylindricalbodywithexternalcoulombfriction AT rikhsievabarno longitudinalwavepropagationinanextendedcylindricalbodywithexternalcoulombfriction AT salikhovazulfiya longitudinalwavepropagationinanextendedcylindricalbodywithexternalcoulombfriction |