Effect of a nodular segment on the dynamic response of a tubular pile subjected to longitudinal vibration
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RESEARCH PAPER
Effect of a nodular segment on the dynamic response of a tubular pile subjected to longitudinal vibration Jun-tao Wu1,2 • Kui-hua Wang1,2
•
Xin Liu1,2
Received: 15 July 2018 / Accepted: 2 February 2020 Ó Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This paper investigates the effect of a nodular segment, commonly found in nodular piles, on the dynamic response of a vertical vibrating tubular pile. A developed model of a tubular pile, discretized by variable sections and pile–surrounding soil layers, is established to analyze the pile dynamic response. The components of a nodular segment are then discussed independently, while the accuracy of the developed solution is verified using finite element analysis and a low-strain test on site. The validated solution is employed to conduct a parametric study of a nodular segment under the condition of the lowstrain test. Some conclusions derived from this study are utilized to provide practical guidance for engineering practice. Keywords Analytical solution Gradient section Low-strain test Nodular segment Tubular pile List of L m qp tp Dp R0 Rk Ek hk kk ; G k vlk vsk vssk Gsk qsk Dsk Z0 Gsb vsb
symbols Pile length Total number of pile segments/soil layers Mass density of pile Poisson’s ratio of pile Hysteretic damping of pile Inner radius along the pile length Outer radius of the kth pile segment Young’s modulus of the kth pile segment Bottom depth of the kth pile segment Lame constants of the kth pile segment Longitudinal wave velocity of the kth pile segment Shear wave velocity of the kth pile segment Shear wave velocity of the kth soil layer Shear modulus of the kth soil layer Mass density of the kth soil layer Hysteretic damping of the kth soil layer Distributed impedance supporting the pile toe Shear modulus of the bearing stratum Shear wave velocity of the bearing stratum
& Kui-hua Wang [email protected] 1
MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, Zhejiang, China
2
Research Center of Coastal Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China
tsb qð t Þ
Poisson’s ratio of the bearing stratum External excitation
1 Introduction With the rapid development of pile foundation engineering, multiple new types of pile foundations have been proposed to adapt to the increasingly complicated engineering condition. Most of the developed foundations, also known as the shaped piles (e.g., nodular piles, wedge piles, conical piles, etc.), are designed for larger bearing capacity and improved functionality. Among them, the nodular pile has gained popularity in recent years [7–10]. Combined with the static drill rooted method [13, 17, 24–26], the implementation of nodular piles can avoid the squeezing effect that often occurs during the construction of the precast piles, and can also reduce the mud emission compared with the bored pile approach. Some recent researches have focused on the bearin
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