Oscillations of retaining wall subject to Grob’s swelling pressure
Abstract The single-degree-of-freedom nonlinear problem describing the essential dynamics of an oscillating retaining wall based on non-quaking ground and subject to Grob’s swelling pressure is considered. The periodic solutions are derived using harmonic approximation. The amplitude-frequency relat...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-07-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-15591-y |
| _version_ | 1811287299817734144 |
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| author | Maksim Kozlov Aizhan Tulendinova Jong Kim Grant Ellis Piotr Skrzypacz |
| author_facet | Maksim Kozlov Aizhan Tulendinova Jong Kim Grant Ellis Piotr Skrzypacz |
| author_sort | Maksim Kozlov |
| collection | DOAJ |
| description | Abstract The single-degree-of-freedom nonlinear problem describing the essential dynamics of an oscillating retaining wall based on non-quaking ground and subject to Grob’s swelling pressure is considered. The periodic solutions are derived using harmonic approximation. The amplitude-frequency relation is established by employing Lambert’s special function or alternatively using linearization of the nonlinear force. Analytical results are verified using numerical simulations. |
| first_indexed | 2024-04-13T03:15:14Z |
| format | Article |
| id | doaj.art-6de57b88c1c64267b7dd698892804d11 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-13T03:15:14Z |
| publishDate | 2022-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-6de57b88c1c64267b7dd698892804d112022-12-22T03:04:55ZengNature PortfolioScientific Reports2045-23222022-07-0112111010.1038/s41598-022-15591-yOscillations of retaining wall subject to Grob’s swelling pressureMaksim Kozlov0Aizhan Tulendinova1Jong Kim2Grant Ellis3Piotr Skrzypacz4Center for Preparatory Studies, Nazarbayev UniversityDepartment of Mathematics, School of Sciences and Humanities, Nazarbayev UniversityDepartment of Civil and Environmental Engineering, School of Engineering and Digital Sciences, Nazarbayev UniversityUnaffiliatedDepartment of Mathematics, School of Sciences and Humanities, Nazarbayev UniversityAbstract The single-degree-of-freedom nonlinear problem describing the essential dynamics of an oscillating retaining wall based on non-quaking ground and subject to Grob’s swelling pressure is considered. The periodic solutions are derived using harmonic approximation. The amplitude-frequency relation is established by employing Lambert’s special function or alternatively using linearization of the nonlinear force. Analytical results are verified using numerical simulations.https://doi.org/10.1038/s41598-022-15591-y |
| spellingShingle | Maksim Kozlov Aizhan Tulendinova Jong Kim Grant Ellis Piotr Skrzypacz Oscillations of retaining wall subject to Grob’s swelling pressure Scientific Reports |
| title | Oscillations of retaining wall subject to Grob’s swelling pressure |
| title_full | Oscillations of retaining wall subject to Grob’s swelling pressure |
| title_fullStr | Oscillations of retaining wall subject to Grob’s swelling pressure |
| title_full_unstemmed | Oscillations of retaining wall subject to Grob’s swelling pressure |
| title_short | Oscillations of retaining wall subject to Grob’s swelling pressure |
| title_sort | oscillations of retaining wall subject to grob s swelling pressure |
| url | https://doi.org/10.1038/s41598-022-15591-y |
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