• 제목/요약/키워드: ratio of pile stiffness to soil stiffness

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Post-buckling analysis of piles by perturbation method

  • Zhao, M.H.;He, W.;Li, Q.S.
    • Structural Engineering and Mechanics
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    • 제35권2호
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    • pp.191-203
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    • 2010
  • To investigate the critical buckling load and post-buckling behavior of an axially loaded pile entirely embedded in soil, the non-linear large deflection differential equation for a pinned pile, based on the Winkler-model and the discretionary distribution function of the foundation coefficient along pile shaft, was established by energy method. Assuming that the deflection function was a power series of some perturbation parameter according to the boundary condition and load in the pile, the non-linear large deflection differential equation was transformed to a series of linear differential equations by using perturbation approach. By taking the perturbation parameter at middle deflection, the higher-order asymptotic solution of load-deflection was then found. Effect of ratios of soil depth to pile length, and ratios of pile stiffness to soil stiffness on the critical buckling load and performance of piles (entirely embedded and partially embedded) after flexural buckling were analyzed. Results show that the buckling load capacity increases as the ratios of pile stiffness to soil stiffness increasing. The pile performance will be more stable when ratios of soil depth to pile length, and soil stiffness to pile stiffness decrease.

The effect of pile cap stiffness on the seismic response of soil-pile-structure systems under near-fault ground motions

  • Abbasi, Saeed;Ardakani, Alireza;Yakhchalian, Mansoor
    • Earthquakes and Structures
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    • 제20권1호
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    • pp.87-96
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    • 2021
  • Ground motions recorded in near-fault sites, where the rupture propagates toward the site, are significantly different from those observed in far-fault regions. In this research, finite element modeling is used to investigate the effect of pile cap stiffness on the seismic response of soil-pile-structure systems under near-fault ground motions. The Von Wolffersdorff hypoplastic model with the intergranular strain concept is applied for modeling of granular soil (sand) and the behavior of structure is considered to be non-linear. Eight fault-normal near-field ground motion records, recorded on rock, are applied to the model. The numerical method developed is verified by comparing the results with an experimental test (shaking table test) for a soil-pile-structure system. The results, obtained from finite element modeling under near-fault ground motions, show that when the value of cap stiffness increases, the drift ratio of the structure decreases, whereas the pile relative displacement increases. Also, the residual deformations in the piles are due to the non-linear behavior of soil around the piles.

Analytical framework for natural frequency shift of monopile-based wind turbines under two-way cyclic loads in sand

  • Yang Wang;Mingxing Zhu;Guoliang Dai;Jiang Xu;Jinbiao Wu
    • Geomechanics and Engineering
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    • 제37권2호
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    • pp.167-178
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    • 2024
  • The natural frequency shift under cyclic environmental loads is a key issue in the design of monopile-based offshore wind power turbines because of their dynamic sensitivity. Existing evidence reveals that the natural frequency shift of the turbine system in sand is related to the varying foundation stiffness, which is caused by soil deformation around the monopile under cyclic loads. Therefore, it is an urgent need to investigate the effect of soil deformation on the system frequency. In the present paper, three generalized geometric models that can describe soil deformation under two-way cyclic loads are proposed. On this basis, the cycling-induced changes in soil parameters around the monopile are quantified. A theoretical approach considering three-spring foundation stiffness is employed to calculate the natural frequency during cycling. Further, a parametric study is conducted to describe and evaluate the frequency shift characteristics of the system under different conditions of sand relative density, pile slenderness ratio and pile-soil relative stiffness. The results indicate that the frequency shift trends are mainly affected by the pile-soil relative stiffness. Following the relevant conclusions, a design optimization is proposed to avoid resonance of the monopile-based wind turbines during their service life.

Investigation on the responses of offshore monopile in marine soft clay under cyclic lateral load

  • Fen Li;Xinyue Zhu;Zhiyuan Zhu;Jichao Lei;Dan Hu
    • Geomechanics and Engineering
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    • 제37권4호
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    • pp.383-393
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    • 2024
  • Monopile foundations of offshore wind turbines embedded in soft clay are subjected to the long-term cyclic lateral loads induced by winds, currents, and waves, the vibration of monopile leads to the accumulation of pore pressure and cyclic strains in the soil in its vicinity, which poses a threat to the safety operation of monopile. The researchers mainly focused on the hysteretic stress-strain relationship of soft clay and kinds of stiffness degradation models have been adopted, which may consume considerable computing resources and is not applicable for the long-term bearing performance analysis of monopile. In this study, a modified cyclic stiffness degradation model considering the effect of plastic strain and pore pressure change has been proposed and validated by comparing with the triaxial test results. Subsequently, the effects of cyclic load ratio, pile aspect ratio, number of load cycles, and length to embedded depth ratio on the accumulated rotation angle and pore pressure are presented. The results indicate the number of load cycles can significantly affect the accumulated rotation angle of monopile, whereas the accumulated pore pressure distribution along the pile merely changes with pile diameter, embedded length, and the number of load cycles, the stiffness of monopile can be significantly weakened by decreasing the embedded depth ratio L/H of monopile. The stiffness degradation of soil is more significant in the passive earth pressure zone, in which soil liquefaction is likely to occur. Furthermore, the suitability of the "accumulated rotation angle" and "accumulated pore pressure" design criteria for determining the required cyclic load ratio are discussed.

현장시험에 의한 충격반향기법의 말뚝 건전도 검사 적용성 평가 (Verifications of the Impact-echo Technique for Integrity Evaluations of the Drilled Shaft using Full Scale Tests)

  • 정경자;조성민;김홍종;정종홍
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.33-40
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    • 2005
  • Impact-echo test, a kind of simple and economical method to evaluate the integrity of drilled piles has some limitations to use because the stress wave can be generated only on the head of a pile and the wave propagation in the pile with surrounding soils are very complicated. Numerical analyses and model tests in the laboratory have shown that both the ratio of length to diameter of a pile and the stiffness ratio of pile to soil have influence on the resolution of testing results. Full scale testing piles which have artificial defects were used to verify the capability of impact-echo technique as a tool for the pile integrity evaluation. Behaviour of the reflected signal of stress wave was investigated according to the type of defects. Elastic modulus of the pile was calculated using the wave velocity in the pile and the unconfined strength of concrete specimen. Influences of the stiffness difference between the pile and the ground on the characteristics of a wave signal were also examined.

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수직증축 공동주택 하부 기존말뚝의 열화를 고려한 축강성 제안 (Proposed Deterioration-induced Axial Stiffness of Existing Piles in Vertical Extension Structures)

  • 정상섬;김도현;조현철
    • 한국지반공학회논문집
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    • 제35권12호
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    • pp.25-33
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    • 2019
  • 본 연구에서는 수직증축 구조물의 기존말뚝의 축강성(Kve)을 이론적인 접근과 현장 계측 결과를 바탕으로 추정하였다. 이론적인 접근에는 Randolph와 Wroth(1978)가 제안한 축강성 공식을 적용하여, 지중에 설치된 강성 및 연성말뚝의 세장비(L/D)에 따른 축강성의 범위를 도출하였다. 여기에, 1995 - 1997년 사이에 설치된 38본 말뚝의 계측된 시공 당시 축강성을 이론적으로 도출한 축강성 범위에 중첩해서 고려하였다. 이를 통하여, 노후화와 열화에 의하여 감소한 기존말뚝의 축강성의 최대값을 세장비에 따라 제안하였고, 도출된 값을 통계적인 기법을 통하여 상위 95% 값을 제안하여 신설 보강말뚝 설계 시 필요한 최소 축강성(Kvr)을 산정하는 데에 활용할 수 있도록 하였다.

소일-시멘트 파일을 이용한 항만구조물의 말뚝식 지반개량 적용성 (Application of Soil-Cement Piles to the Ground Improvement of Harbor Structures)

  • 이성훈;권오엽;신종호
    • 한국지반공학회논문집
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    • 제29권11호
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    • pp.29-47
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    • 2013
  • 본 연구에서는 항만구조물 기초지반에 소일-시멘트 파일을 이용한 말뚝식 지반개량을 적용한 90개 단면에 대해 안정검토를 수행하였고, 수치해석을 포함한 모든 항목에서 안정한 단면별 최소치환율을 결정하였으며, 원심모형실험을 통해 수치해석 결과의 신뢰성을 검증하였다. 연구결과, 기초지반이 매우 연약($s_u$ =15kPa이하)한 경우에는 말뚝식 지반개량이 부적합하고, 항만구조물의 말뚝식 지반개량에는 기초지반과 개량체의 강성비(n)가 최대 50~75이하이고 개량체 강도가 2~3MPa인 소일-시멘트 파일공법이 가장 적합하며, 최소치환율 지배인자가 허용수평변위이므로 말뚝식 지반개량을 설계할 때는 반드시 수평변위를 검토해야 하는 것으로 나타났다.

Effects of inclined bedrock on dissimilar pile composite foundation under vertical loading

  • Kaiyu, Jiang;Weiming, Gong;Jiang, Xu;Guoliang, Dai;Xia, Guo
    • Geomechanics and Engineering
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    • 제31권5호
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    • pp.477-488
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    • 2022
  • Pile composite foundation (PCF) has been commonly applied in practice. Existing research has focused primarily on semi-infinite media having equal pile lengths with little attention given to the effects of inclined bedrock and dissimilar pile lengths. This investigation considers the effects of inclined bedrock on vertical loaded PCF with dissimilar pile lengths. The pile-soil system is decomposed into fictitious piles and extended soil. The Fredholm integral equation about the axial force along fictitious piles is then established based on the compatibility of axial strain between fictitious piles and extended soil. Then, an iterative procedure is induced to calculate the PCF characteristics with a rigid cap. The results agree well with two field load tests of a single pile and numerical simulation case. The settlement and load transfer behaviors of dissimilar 3-pile PCFs and the effects of inclined bedrock are analyzed, which shows that the embedded depth of the inclined bedrock significantly affects the pile-soil load sharing ratios, non-dimensional vertical stiffness N0/wdEs, and differential settlement for different length-diameter ratios of the pile l/d and pile-soil stiffness ratio k conditions. The differential settlement and pile-soil load sharing ratios are also influenced by the inclined angle of the bedrock for different k and l/d. The developed model helps better understand the PCF characteristics over inclined bedrock under vertical loading.

비균질 지반에서 항타 관입한 단일 강성말뚝의 수평거동 연구 (Lateral Behavior of Single Rigid Driven Pile in Non-Homogeneous Sand)

  • 김영수;김병탁
    • 한국지반공학회논문집
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    • 제15권6호
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    • pp.167-185
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    • 1999
  • 수평거동의 특성을 파악하기 위하여 일련의 연속된 모형실험을 수행하였다. 본 논문은 균질 및 비균질의 사질토 지반에서 항타 시공된 단일 강성말뚝의 수평거동에 대한 모형실험 결과들을 고찰하였다. 본 연구의 목적은 말뚝의 수평거동 특성에 대한 말뚝 시공상태(Driven & Embedded), 말뚝 근입길이에 대한 하부지반의 두께비(H/L), 그리고 지반반력 계수비의 영향에 관하여 실험 적인 연구를 수행하였다. 모형실험 결과들에 의하면, 수평거동은 비균질 지반에서 항타 에너지에 상당히 의존하고 있다. 즉, H/L=0.75의 경우 항타 에너지가 3배 증가에 의하여 매입말뚝에 대한 수평변위 감소율이 약 2.12배 정도 증가하였다. $E_{h1}/E_{h2}=5.56$인 비균질 지반에서 항타말뚝의 경우 수평변위의 감소에 대한 강성이 큰 상부층의 효과가 매입말뚝에 비하여 상당히 적게 작용하였다. 항타 진동으로 토립자의 재배열 현상으로 말뚝주변 지반 강성이 증가하고 이로 인하여 말뚝의 상대강성이 크게 증가하여 말뚝이 휨성말뚝과 비슷한 거동을 보였으며, 비균질 지반에서 항타 시공에 따른 최대 휨모멘트는 매입말뚝의 100 - 132%정도 크게 나타났다. 본 연구에서는 $y_D/y_E\; 와\; MBM_D/MBM_E$에 대한 수평하중과 H/L의 영향들을 모형실험 결과들로부터 실험식으로 제안하였다.

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Nonlinear response of the pile group foundation for lateral loads using pushover analysis

  • Zhang, Yongliang;Chen, Xingchong;Zhang, Xiyin;Ding, Mingbo;Wang, Yi;Liu, Zhengnan
    • Earthquakes and Structures
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    • 제19권4호
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    • pp.273-286
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    • 2020
  • The pile group foundation is widely used for gravity pier of high-speed railway bridges in China. If a moderate or strong earthquake occurs, the pile-surrounding soil will exhibit obvious nonlinearity and significant pile group effect. In this study, an improved pushover analysis model for the pile group foundation with consideration of pile group effect is presented and validated by the quasi-static test. The improved model uses simplified springs to simulate the soil lateral resistance, side friction and tip resistance. PM (axial load-bending moment) plastic hinge model is introduced to simulate the impact of the axial force changing of pile group on their elastic-plastic characteristics. The pile group effect is considered in stress-stain relations of the lateral soil resistance with a reduction factor. The influence factors on nonlinear characteristics and plastic hinge distribution of the pile group foundation are discussed, including the pier height, longitudinal reinforcement ratio and stirrup ratio of the pile, and soil mechanical parameters. Furthermore, the displacement ductility factor, resistance increase factor and yielding stiffness ratio are provided to evaluate the seismic performance of soil-pile system. A case study for the pile group foundation of a railway simply supported beam bridge with a 32 m-span is conducted by numerical analysis. It is shown that the ultimate lateral force of pile group is not determined by the yielding force of the single one in these piles. Therefore, the pile group effect is essential for the seismic performance evaluation of the railway bridge with pile group foundation.