Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated Substrata
The dynamic response of an elastic strip foundation lying on elastic soil with saturated substrata is greatly affected by pore pressure induced by a rocking moment. In this paper, we explore the mixed boundary-value problem of the rocking vibration of an elastic strip foundation on elastic soil with...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/124782 |
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| author | Xiaohua Ma Zhenyu Wang Yuanqiang Cai Changjie Xu |
| author_facet | Xiaohua Ma Zhenyu Wang Yuanqiang Cai Changjie Xu |
| author_sort | Xiaohua Ma |
| collection | DOAJ |
| description | The dynamic response of an elastic strip foundation lying on elastic soil with saturated substrata is greatly affected by pore pressure induced by a rocking moment. In this paper, we explore the mixed boundary-value problem of the rocking vibration of an elastic strip foundation on elastic soil with saturated substrata via Biot dynamic equations. First, the wave equations concerning both the single-phase elastic layer and the saturated half-space are solved using a Fourier integral transform technique. The dual integral equations of the rocking vibration of an elastic strip foundation are established according to the mixed boundary conditions. Finally, the relationship of the dynamic compliance coefficient with the dimensionless frequency is obtained by applying Simpson’s rule to conduct numerical calculation. We also analyse the influences of the elastic layer’s thickness and elastic characteristic parameters of the foundation on the rocking vibration. |
| format | Article |
| id | doaj-art-96ea962ddca74916b1b05d8172c5380c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-96ea962ddca74916b1b05d8172c5380c2025-02-03T06:42:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/124782124782Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated SubstrataXiaohua Ma0Zhenyu Wang1Yuanqiang Cai2Changjie Xu3Geotechnical Engineering Institute, Zhejiang University, Hangzhou 310058, ChinaZhejiang Geofore Geotechnical Engineering Co., Ltd., Hangzhou 310013, ChinaZhejiang Geofore Geotechnical Engineering Co., Ltd., Hangzhou 310013, ChinaZhejiang Geofore Geotechnical Engineering Co., Ltd., Hangzhou 310013, ChinaThe dynamic response of an elastic strip foundation lying on elastic soil with saturated substrata is greatly affected by pore pressure induced by a rocking moment. In this paper, we explore the mixed boundary-value problem of the rocking vibration of an elastic strip foundation on elastic soil with saturated substrata via Biot dynamic equations. First, the wave equations concerning both the single-phase elastic layer and the saturated half-space are solved using a Fourier integral transform technique. The dual integral equations of the rocking vibration of an elastic strip foundation are established according to the mixed boundary conditions. Finally, the relationship of the dynamic compliance coefficient with the dimensionless frequency is obtained by applying Simpson’s rule to conduct numerical calculation. We also analyse the influences of the elastic layer’s thickness and elastic characteristic parameters of the foundation on the rocking vibration.http://dx.doi.org/10.1155/2013/124782 |
| spellingShingle | Xiaohua Ma Zhenyu Wang Yuanqiang Cai Changjie Xu Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated Substrata Journal of Applied Mathematics |
| title | Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated Substrata |
| title_full | Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated Substrata |
| title_fullStr | Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated Substrata |
| title_full_unstemmed | Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated Substrata |
| title_short | Mixed Boundary-Value Analysis of Rocking Vibrations of an Elastic Strip Foundation on Elastic Soil with Saturated Substrata |
| title_sort | mixed boundary value analysis of rocking vibrations of an elastic strip foundation on elastic soil with saturated substrata |
| url | http://dx.doi.org/10.1155/2013/124782 |
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