Dynamic Response Of Pile Research Articles

Study on Damage Mechanism for Foundation Pile of Girder Bridge under Seismic Influence

Based on the analysis for seismic load and failure modes of pile foundation, this article adopts dynamic Winkler foundation beam model, and employs continuous distributional and independent spring and damper, instead of the dynamic resistance of the soil around the pile, and to explore interaction between pile and soil dynamic at horizontal load. In consideration of six kinds of boundary conditions combination, this paper proposes the solution method for displacement and internal force on pile. From analysis of cases, it finds that the effect of pile’s length on dynamic response can be negligible when pile slenderness ratio l/d>20, and the pile can be simplified into infinite long pile. Dynamic response of pile increases with the increase of stiffness ratio. When establish the control equations, influence of axial force can not be ignore. Otherwise, results will be small than the actual value.

The Dynamic Responses of Anti-Slide Piles Reinforced in the Rubble Soil Landslide

Acoording to the servic eability limit state, use the numerical analysis the method, using the fiinte element analysis software to the elastoplastic and the big distortion on the power solidifies in the finite element model, by using above coupled non-linear numerical approach, the dynamic response of piles and the earthquake resistance reinforcement. A computation method of raft foundation is brought foward in which many factors are considered. The method corresponds to real foundation working conditions. The results indicated as follows: Under the earthquake load function, the slope and anti-slide piles displacement response was amplified as the seismic motion propagated upwards through the slope. The greater the earthquake acceleration, the larger the deformation of the anti-slide pile. And the displacements of the pile were decreased from top to bottom. The different elevational point of the dynamic moment in the change tendency is the same. the dynamic moment to increase along with the input earthquake wave acceleration increases. There were larger differences occurring in the maximum value of resistances on the partial pile lain in stable rockmass and resistance distribution forms with different accelerations in different times. The calculation indicates that the new method may better reflect the actual locating state and sliding process of debris landslide and anti-slide piles under earthquake.

The effect of pile installation method on dynamic pile response

The widespread use of piled foundations in areas prone to liquefaction has led to significant research being carried out to understand their behaviour during earthquakes. A key challenge in modelling this problem in a centrifuge is the installation procedure, and in most dynamic centrifuge experiments piles are installed before the test commences, either pushing the piles at 1g, or fixing the piles in the model and the sand poured around them. In this paper, a series of dynamic centrifuge experiments are described in which a 2 × 2 pile group is pushed into the model before the test begins and also once the centrifuge has reached the test acceleration. The paper focuses on the key differences which were observed in the pile group’s response to the earthquake motion, and in particular, the very different settlement responses of the pile groups.

Transient kinematic pile bending in two-layer soil

The dynamic response of piles to seismic loading is explored by means of an extensive parametric study based on a properly calibrated Beam-on-Dynamic-Winkler-Foundation (BDWF) model. The investigated problem consists of a single vertical cylindrical pile, modelled as an Euler–Bernoulli beam, embedded in a subsoil consisting of two homogeneous viscoelastic layers of sharply different stiffness resting on a rigid stratum. The system is subjected to vertically propagating seismic S waves, in the form of a transient motion imposed on rock outcrop. Several accelerograms recorded in Italy are employed as input motions in the numerical analyses. The paper highlights the severity of kinematic pile bending in the vicinity of the interface separating the two soil layers. In addition to factors already investigated such as layer stiffness contrast, relative soil–pile stiffness, interface depth and intensity of ground excitation, the paper focuses on additional important factors, notably soil material damping, stiffness of Winkler springs and frequency content of earthquake excitation. Existing predictive equations for assessing kinematic pile bending at soil layer interfaces are revisited and new regression analyses are performed. A synthesis of findings in terms of a set of simple equations is provided. The use of these equations is discussed through examples.

Nonlinear Dynamic Response of Piles under Horizontal Excitation

This paper presents test results from cast-in situ reinforced concrete single and group piles subjected to strong horizontal excitation. The tests were conducted for different eccentric moments simulating different excitation levels to obtain the frequency-amplitude response of the pile. Moderate nonlinear behavior is observed in both horizontal and rocking components of vibration. The experimental results were compared with dynamic interaction factor approach using nonlinear solutions. The accuracy of the nonlinear analysis in predicting the dynamic response depends on the choice of parameters that best characterize the response of boundary zone around the pile and the realistic length of pile separation. It is shown in this study that by allowing for boundary zone and separation between pile and soil, close agreement between theoretical predictions and measured response curves can be achieved.

Kinematic bending moments in pile foundations

Abstract In this paper the kinematic seismic interaction of single piles embedded in soil deposits is evaluated by focusing the attention on the bending moments induced by the transient motion. The analysis is performed by modeling the pile like an Euler–Bernoulli beam embedded in a layered Winkler-type medium. The excitation motion is obtained by means of a one-D propagation analysis. A comprehensive parametric analysis is carried out by varying the main parameters governing the dynamic response of piles like the soil properties, the bedrock location, the diameter and embedment in the bedrock of piles. On the basis of the parametric analysis, a new design formula for predicting the kinematic bending moments for both the cross-sections at the deposit–bedrock interface and at the pile head is proposed.

Dynamic responses of a pile embedded in a layered poroelastic half‐space to harmonic lateral loads

AbstractA single pile embedded in a layered poroelastic half‐space subjected to a harmonic lateral load is investigated in this study. Based on Biot's theory, the frequency domain fundamental solution for a horizontal circular patch load applied in the layered poroelastic half‐space is derived via the transmission and reflection matrices method. Utilizing Muki and Sternberg's method, the second kind of Fredholm integral equation describing the dynamic interaction between the layered half‐space and the pile subjected to a top harmonic lateral load is constructed. The proposed methodology is validated by comparing results of this paper with some existing results. Numerical results show that for a two‐layered half‐space, the thickness of the upper softer layer has pronounced influences on the dynamic response of the pile and the half‐space. For a three‐layered half‐space, the presence of a softer middle layer in the layered half‐space will enhance the compliance for the pile significantly, while a stiffer middle layer will diminish the dynamic compliance of the pile considerably. Copyright © 2009 John Wiley & Sons, Ltd.

Vertical Vibration of Full-Scale Pile—Analytical and Experimental Study

This paper presents the results of vertical vibration tests on two full-scale single piles. The diameter of pile and embedded depth were 0.45 and 22 m, respectively. The soil samples were collected from three boreholes located at the site of investigation and it was explored to a depth up to 30.45 m below the ground level. The vertical vibration tests were conducted for different eccentricities to determine the frequency-amplitude response of the pile. Static load tests were also carried out on two single piles. A simple axisymmetric two-dimensional finite-element model was developed to predict the dynamic pile response. Novak’s plane strain model was also used for the prediction of the dynamic response of single pile. It was observed that the finite-element model predicted the natural frequency and peak displacement amplitude of pile reasonably well. However, prediction of dynamic response of the pile was found unsatisfactory by Novak’s plane strain model. Possible reasons for unsatisfactory performance of Novak’s model were investigated and presented.

Transient dynamic response of pile to vertical load in saturated soil

This investigation is concerned with the dynamic response of a pile embedded in a saturated half-space subjected to transient vertical loading. The pile is represented by a beam element, and the saturated medium uses Biot’s three-dimensional elastodynamic theory. The governing equation, which is formulated under the approximation that the strain of the fictitious pile is equal to the corresponding average over a circular area in the extended half-space, is found to be a Fredholm integral equation, and solved by an appropriate numerical method. Time domain solutions are obtained by using numerical Fourier inversion transformation. Some numerical results are given.

Vertical dynamic response of pile in a radially heterogeneous soil layer

AbstractAn analysis of a pile vertical response considering soil inhomogeneity in the radial direction under dynamic loads is presented. The solution technique is based on a three‐dimensional axisymmetric model, which includes the consideration of the vertical displacement of the soil. The soil domain is subdivided into a number of annular vertical zones, and the continuity of the displacements and stresses are imposed at both the interface of pile–soil and the interfaces of adjacent soil zones to establish the dynamic equilibrium equations of the pile–soil interaction. Then, the equations of each soil zone and of the pile are solved one by one to obtain the analytical and semi‐analytical dynamic responses at the top of the pile in the frequency domain and time domain. Parametric studies have been performed to examine the influence of soil parameters' variations in the radial direction caused by the construction effect on the dynamic responses of pile. The results of the studies have been summarized and presented in figures to illustrate the influences of the soil parameters as they change radially. The effect of the radius of the disturbed soil zone caused by construction is also studied in this paper. Copyright © 2008 John Wiley & Sons, Ltd.

Dynamic responses of a pile embedded in a layered poroelastic half-space to a harmonic axial loading

The dynamic response of a single pile embedded in a layered poroelastic half-space to an axial harmonic load is investigated in this study. Based on Biot’s theory, the frequency domain fundamental solution for a vertical circular patch load applied in a layered poroelastic half-space is derived via the transmission and reflection matrices method. Utilizing Muki and Sternberg’s method, the second kind of Fredholm integral equations describing the dynamic interaction between the layered half-space and the pile subjected to a harmonic axial load is constructed. The proposed model is validated by comparing a special case of our model with an existing result. Based on numerical results of this paper, it is concluded that the presence of a stiffer or a softer middle layer in the layered half-space will affect the impedance of the pile considerably and the inhomogeneity of the half-space will enhance the pore pressure significantly.

COUPLED P-Y T-Z ANALYSIS OF SINGLE PILES IN COHESIONLESS SOIL UNDER VERTICAL AND/OR HORIZONTAL GROUND MOTION

Various approaches are currently used for the analysis of piles under vertical and lateral loading. Among these, the beam-on-a-nonlinear Winkler foundation (BNWF) approach using published P-y, T-z and Q-z curves is widely used in practice. In this approach, the P-y and T-z responses are generally uncoupled from each other. The objective of this paper is to investigate the influence that the coupling of the P-y and T-z responses has.on the cyclic and dynamic response of piles in cohesionless soil. A cyclic model is first developed and a parametric study is conducted to investigate the effect the initial confining pressure, angle of wall friction and effective vertical stiffness have on the lateral cyclic hysteretic response. A dynamic model is then developed, and used to study the response of a single pile in cohesionless soil under horizontal and/or vertical ground motion. Results from the parametric study showed that the three parameters did not have a significant influence on the lateral cyclic hysteretic response. Under horizontal and/or vertical ground motion, the horizontal ground motion was observed to dominate the inertial interaction response, and significantly affected both the horizontal and vertical displacement response, mainly due to second-order P-Δ and gapping effects.

Phenomenological Model Applied to Inelastic Response of Soil-Pile Interaction Systems

ABSTRACT A dynamic nonlinear Winkler spring model, is developed for the seismic response of deep foundations. The model utilizes the phenomenological “BWGG” model (outlined in a companion paper), and it can treat the inelastic response of both the soil and the pile. The nonlinear reaction of the soil is modeled realistically by the BWGG interaction springs and dashpots, with due consideration to effects such as : separation (gapping) of the pile or caisson from the soil, radiation damping, and loss of strength due to pore-water pressure development. The modeling of pile inelasticity is also versatile, and can treat from well-reinforced to poorly-reinforced concrete sections. The necessity for the proposed model arises from the difficulty to predict the large-amplitude dynamic response of piles up to failure. The BWGG-Winkler model is validated through the results of in-situ monotonic and dynamic pile load tests. It is further utilized to study the nonlinear soil-pile interaction under lateral monotonic loading. The results of the model are compared with the venerable Broms (1964) theory for pile lateral capacity

Dynamic pile response using two pile-driving techniques

Because of disadvantages caused by pile top driving, a new pile driving technique by which the hammer is inside the pile has been developed by contractors. The so called “down-the hole” piling system is used to drive a tubular pile in an experimental set-up in the laboratory. This new technique is tested and compared with pile top driving using similar hammer energy. A reduction of noise and the opportunity to save steel are confirmed during a field test program. Also, a reduction in driving time and a higher bearing capacity have been observed. Some similar conclusions are arrived at in the laboratory study, specially the low level of stresses in the pile and the shaft friction.

Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading

The dynamic response of an elastic pile subjected to transient torsional and axial loading is considered. The pile is embedded in a multi-layered elastic soil. The stress field in a soil is simplified by following the existing solutions for a pile subjected to static torsional and axial loading. The dynamic equilibrium equation of soil is solved in the Laplace domain by using analytical techniques. The soil resistance is coupled into a one-dimensional governing equation of a pile segment and an analytical solution is presented. An impedance matrix can then be derived for a pile segment relating end stress resultants to the displacements. Non-homogeneous initial conditions of the pile are considered. The impedance matrices of pile segments are assembled by following the concepts of finite element method to analyse a pile embedded in a multi-layered soil. The treatment of soil base response is also discussed. Time domain solutions are obtained by using a numerical Laplace inversion procedure. The extension of the analysis to linear viscoelastic soils using the correspondence principle in the theory of viscoelasticity is discussed. Selected numerical solutions for a pile embedded in a homogeneous soil and a &squo;Gibson’ soil are presented to portray the influence of pile moduli and slenderness ratios, loading history and soil non-homogeneity on the dynamic response of an elastic pile. Nous étudions la réponse dynamique d’un pilot élastique soumis à une charge de torsion et axiale transitoire. Le pilot est enfoui dans un sol élastique constittué de plusieurs couches. Nous simplifions le champ de contrainte dans un sol en appliquant les solutions existantes pour un pilot soumis à une charge de torsion et axiale statique. L’équation de 1’équilibre dynamique du sol est résolue dans le domaine de Laplace en utilisant des techniques analytiques. Nous couplons la résistance du sol en une équation standard unidimensionnelle pour un segment de pilot et nous présentons une solution analytique. Une matrice d’impédance pent alors être dérivée pour un segment de pilot en liant les résultantes de contrainte en bout aux déplacements. Nous examinons les conditions initiales non homogènes du pilot. Pour analyser un pilot enfoui dans un sol constitué de plusieurs couches, nous assemblons les matrices d’impédance des segments de pilot en suivant les concepts de la méthode d’éléments finis. Nous discutons aussi du traitement de la réponse de base du sol. Les solutions du domaine de temporisation sont obtenues en utilisant une procédure d’inversion numérique de Laplace. Nous discutons de l’extension de l’analyse aux sols à viscoèlasticit&acutee;aire en utilisant le principe de correspondance dans la théorie de viscoélasdcité. Nous présentons de solutions numériques choisies pour un pilot enfoui dans un sol homogène et un sol &squo;Gibson’ pour décrire l’influence des modules de pilot et des coefficients de gracilité, des comportements aux charges et de la non homégénéité du sol sur la réponse dynamique d’un pilot élastique.

Dynamic response of piles under vertical load: Khan, A K; Pise, P J Indian Geotech JV22, N4, Oct 1992, P245–265

Dynamic response of piles under vertical load: Khan, A K; Pise, P J Indian Geotech JV22, N4, Oct 1992, P245–265

Dynamic response of pile groups with different configurations

A general methodology is outlined for a complete seismic soil—pile-foundation—structure interaction analysis. A Beam-on-Dynamic-Winkler-Foundation (BDWF) simplified model and a Green's-function-based rigorous method are utilized in determining the dynamic response of single piles and pile groups. The simplified model is validated through comparisons with the rigorous method. A comprehensive parameter study is then performed on the effect of pile group configuration on the dynamic impedances of pile foundations. Insight is gained into the nature of dynamic pile—soil—pile interaction. The results presented herein may be used in practice as a guide in obtaining the dynamic stiffness and damping of foundations with a large number of piles.

Full-scale field studies of the dynamic response of piles embedded in partially frozen soils : Vaziri, H; Han, Y Can Geotech JV28, N5, Oct 1991, P708–718

Full-scale field studies of the dynamic response of piles embedded in partially frozen soils : Vaziri, H; Han, Y Can Geotech JV28, N5, Oct 1991, P708–718

Nonlinear Soil‐Pile Interaction Model for Dynamic Lateral Motion

A rational dynamic soil‐pile interaction model is presented. The model is developed adopting Winkler's hypothesis with a special attention to the conditions in which the strong nonlinearity is induced in the vicinity of the pile shaft under dynamic loading. It is formulated in a simple system of frequency independent mass, springs, and dashpots. Therefore, the model enables us to conduct the time‐domain nonlinear analysis in a relatively simple manner. Since the model can reproduce the dynamic effects by itself, its parameters are defined from the static behavior of a soil‐pile system or reasonable p‐y curves developed under the static condition. With a special consideration of a gap formed at the soil‐pile interface, the proposed model and procedure to define its parameters have successfully predicted the dynamic pile response observed in the field dynamic pile load tests. The nonlinear condition and dynamic condition are coupled with each other to produce the complex soil action to the pile shaft motion.

Dynamics of piles and pile groups in layered soil media

A general formulation is presented for the dynamic response analysis of piles and pile groups in a layered halfspace. Green's functions for layered media, evaluated numerically by the application of Integral transform techniques, along with analytical solutions for the dynamic response of piles are the ingedients of this formulation. The analytical derivations are presented in this paper and the extension of the formulation to seismic analyses is described. In addition, a limited number of representative results on the dynamic stiffnesses and seismic response of pile groups are presented.