Development of a coupled pile-to-pile interaction model for the dynamic analysis of pile groups subjected to vertical lo
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RESEARCH PAPER
Development of a coupled pile-to-pile interaction model for the dynamic analysis of pile groups subjected to vertical loads Lubao Luan1 • Xuanming Ding1 • Guangwei Cao1 • Xin Deng1 Received: 14 February 2019 / Accepted: 14 April 2020 Ó Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This paper presents a new analytical model for calculating the dynamic performance of pile groups subjected to vertical loads. The derived solution allows considering the robust pile-to-pile coupled interaction on impedance of the pile group, by accounting for the secondary waves generated by the vibration of the receiver pile. For that, we introduce a dynamic coupling factor to modify the classical pile-to-pile interaction factor to illustrating the coupling effect of the source and receiver pile. Numerical results obtained for typical problem parameters indicate that this coupling effect can be important for closely spaced pile group, pile groups with large slenderness ratio or pile groups with large group members. The proposed solution is capable of determining the frequency-dependent impedance of large pile groups comprising arbitrary numbers of piles, which numerical modelling can be cumbersome. Keywords Analytical methods Dynamic analysis Pile groups Soil-structure interaction
1 Introduction Piles are always designed in a group to transfer dynamic loads to competent soil layers, which covers the issue of how each pile interacts with its surrounding soil (pile-tosoil interaction) [1, 3, 4, 11, 19, 20], and of interaction between piles in the same group (pile-to-pile interaction) [7, 10, 15, 18, 21]. The effects of pile-to-soil and pile-topile interaction phenomena on load transfer mechanisms are coupled sophisticatedly, rendering a number of numerical methods such as the finite element method (FEM) [13, 16] and the boundary element method (BEM)
& Xuanming Ding [email protected] Lubao Luan [email protected] Guangwei Cao [email protected] Xin Deng [email protected] 1
Key Laboratory of New Technology for Construction of Cities in Mountain Area, College of Civil Engineering, Chongqing University, 83 Shapingba North Street, Chongqing 400045, China
[2, 9, 14]. The complex geometry of pile groups with large group members and dense mesh discretization of the domain and its boundaries, especially for dynamic problems involving wave propagation, lead to large systems of equations and therefore to computationally expensive effort. This is not surprising that some approximate wave propagation methods [5, 6, 8, 12, 15, 17] are still in use to reveal load transfer mechanisms of pile-to-soil and pile-topile interaction. Principle of superposition pioneered by Poulos [15] offers a method to calculate settlement of pile groups with arbitrary number of piles, by considering the interaction between two floating piles subjected to static vertical loads. The interaction factor is defined as a ratio of the additional displacement of a pile due to the presence of a s
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