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Geomechanics and Engineering Volume 23, Number 3, November10 2020 , pages 275-287 DOI: https://doi.org/10.12989/gae.2020.23.3.275 |
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Dynamic response of vertically loaded rectangular barrettes in multilayered viscoelastic soil |
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Geng Cao, Ming X. Zhu, Wei M. Gong, Xiao Wang and Guo L. Dai
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| Abstract | ||
| Rectangular barrettes have been increasingly used as foundations for many infrastructure projects, but the vertical vibration of a barrette has been rarely addressed theoretically. This paper presents an analysis method of dynamic response for a rectangular barrette subjected to a time-harmonic vertical force with the aid of a modified Vlasov foundation model in multilayered viscoelastic soil. The barrette-soil system is modeled as a continuum, the vertical continuous displacement model for the barrette and soil is proposed. The governing equations of the barrette-soil system and the boundary conditions are obtained and the vertical shaft resistance of barrette is established by employing Hamilton's principle for the system and thin layer element, respectively. The physical meaning of the governing equations and shaft resistance is interpreted. The iterative solution algorithm flow is proposed to obtain the dynamic response of barrette. Good agreement of the analysis and comparison confirms the correctness of the present solution. A parametric study is further used to demonstrate the effects of cross section aspect ratio of barrettes, depth of soil column, and module ratio of substratum to the upper soil layers on the complex barrette-head stiffness and the resistance stiffness. | ||
| Key Words | ||
| barrette; multilayered viscoelastic soil; continuum; Hamilton's principle; dynamic response | ||
| Address | ||
| Geng Cao, Ming X. Zhu, Wei M. Gong and Guo L. Dai: 1.) Key of Laboratory for RC and PRC Structure of Education Ministry, Southeast University, Nanjing 211189, China 2.) School of Civil Engineering, Southeast University, Nanjing 211189, China Xiao Wang: School of Civil Engineering, Southeast University, Nanjing 211189, China | ||