Time-domain analysis of velocity waves in a pipe pile due to a transient point load |
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| Affiliation: | 1. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou, Zhejiang 310058, China;2. Research Central of Coastal Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China;3. Engineering Faculty, China University of Geosciences, Wuhan, Hubei 430074, China;4. School of Computing, Engineering and Mathematics, University of Western Sydney, Locked Bag 1797, Penrith, Sydney, NSW 2751, Australia;5. School of Civil Engineering and Architecture, East China Jiao Tong University, Nanchang, Jiangxi 330013, China;1. Key Laboratory of New Technology for Construction of Cities in Mountain Area, College of Civil Engineering, Chongqing University, Chongqing 400045, China;2. College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China;3. Griffith School of Engineering, Griffith University, Gold Coast Campus, QLD 4222, Australia;1. Engineering Research Center of Rock-Soil Drilling & Excavation and Protection, Ministry of Education, Faculty of Engineering, China University of Geosciences, Wuhan, Hubei 430074, China;2. Geotechnical Research Centre, Faculty of Engineering, Western University, London, ON N6A 5B9, Canada;3. Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, College of Civil Engineering and Architecture, Guangxi University, Nanning, Guangxi 530004, China;1. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou, Zhejiang 310058, China;2. Research Center of Coastal Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China;3. Institute of Geotechnical Engineering, School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi, China |
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| Abstract: | The propagation of stress waves in a pipe pile subjected to a transient point load cannot be expressed using traditional one-dimensional (1D) wave theory. This paper presents an analytical solution used to investigate the wave propagation in a pipe pile under an axial point load. The soil resistance is simulated using the Winkler model, and the excitation force is simulated with a semi-sinusoidal impulse. A time-domain analytical solution for the three-dimensional wave equation is derived using the separation of variables and variation of constants methods. The solution is verified with a frequency domain analytical solution in which the time-domain response is calculated by numerical Fourier inverse transformation. Furthermore, the solution proposed in this paper is compared with the results of model testing and 3D FEM analysis. The comparisons show that the analytical solution proposed in this study agrees well with the results of previous studies. The proposed solution is subsequently applied in case studies. The vertical velocity responses in the circumferential and axial directions are analyzed to reveal the propagation characteristics of transient waves in the pipe pile. Moreover, the effects of the location and period of the excitation force, the side and tip resistances and high-order modes are studied in detail. |
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| Keywords: | Pipe pile Transient wave Analytical solution Time domain Low strain testing |
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