Buckling analysis of partially embedded pile in elastic soil using differential transform method

Catal, Seval; Çatal, Hikmet Hüseyin

doi:10.12989/sem.2006.24.2.247

Cited by 28 publications

(5 citation statements)

References 27 publications

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“…They segmented the pile into two regions (embedded and unembedded) and established an embedment ratio to evaluated them, as can be checked in their structural model presented in Table 2-1. Çatal (2006) [86] implemented an analytical method to perform a buckling analysis of a pile partially embedded in an elastic soil. It was established a region for the pile portion above the soil and a second region for the embedded part.…”

Section: Multi-layered and Non-homogeneous Soilsmentioning

confidence: 99%

Soil–pile interaction considering structural yielding: Numerical modeling and experimental validation

Kampitsis

Giannakos

Gerolymos

et al. 2015

Engineering Structures

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Section: Multi-layered and Non-homogeneous Soilsmentioning

confidence: 99%

Soil–pile interaction considering structural yielding: Numerical modeling and experimental validation

Kampitsis

Giannakos

Gerolymos

et al. 2015

Engineering Structures

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“…e bearing capacity of the existing engineering pile group changes with the dynamic change of the lateral restraint. erefore, the determination of the calculation length and the bearing capacity should be analyzed according to different working conditions, and the value should be designed according to the most unfavorable working condition [22][23][24].…”

Section: Bearing Capacity Calculationmentioning

confidence: 99%

Study on Bearing Capacity of the Existing Engineering Pile Group without Lateral Displacement during Dynamic Top‐Down Construction

Wang

Zhao

Xuelin

et al. 2022

Advances in Civil Engineering

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The bearing capacity of the vertical underpinning structure system is the key index in the design of top-down construction for adding a basement layer under existing buildings. The influence of the lateral restraint is the most significant under the dynamic construction excavation. For the problem of the bearing capacity of the existing engineering pile group under the top-down construction, the linear eigenvalue stability method was used first to study the influence of the lateral restraints such as the horizontal resistance of soil, the diameter of piles body, and the bending rigidity of the temporary steel bracing on its bearing capacity. The corresponding critical stability load and the effective length coefficient were then obtained. Then, based on the nonlinear extreme point stability method with the initial geometrical imperfection, the amplification range for the effective length coefficient was studied. Finally, based on the current Chinese Code Formula (JGJ 94-2008) and considering the influence of the compression buckling effect of the high cap pile, the present solution of the bearing capacity for the pile body was obtained and compared with the code solution. It turns out that the nonlinear bearing capacity of existing engineering piles group with initial imperfection is smaller than the critical stability load of the linear eigenvalue and increases with the increase of the imperfection amplitude, and the amplification range of the effective length coefficient is 1.10∼1.20. The present solution of the bearing capacity with the compression buckling effect is 1.10∼1.30 times of the code solution, which shows that the code solution is partial to safety, and the residual bearing can be properly considered in the design.

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“…(34) and (35) and taking W 1 (0) = c 1 , W 1 (1) = c 2 and 1 (0) = c 3 , the following matrix expression is obtained…”

Section: Using Differential Transformation To Solve Motion Equationsmentioning

confidence: 99%

“…Catal suggested DTM for the free vibration analysis of both ends simply supported and one end fixed, the other end simply supported Timoshenko beams resting on elastic soil foundation [32,33]. Catal and Catal calculated the critical buckling loads of partially embedded Timoshenko pile in elastic soil by DTM [34]. Ho and Chen investigated the vibration problems of an axially loaded nonuniform spinning twisted Timoshenko beam by using DTM [35].…”

Section: Introductionmentioning

confidence: 99%

Solution of free vibration equations of semi-rigid connected Reddy–Bickford beams resting on elastic soil using the differential transform method

Yeşilce

Çatal

2010

Arch Appl Mech

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The literature regarding the free vibration analysis of Bernoulli-Euler and Timoshenko beams under various supporting conditions is plenty, but the free vibration analysis of Reddy-Bickford beams with variable cross-section on elastic soil with/without axial force effect using the Differential Transform Method (DTM) has not been investigated by any of the studies in open literature so far. In this study, the free vibration analysis of axially loaded and semi-rigid connected Reddy-Bickford beam with variable cross-section on elastic soil is carried out by using DTM. The model has six degrees of freedom at the two ends, one transverse displacement and two rotations, and the end forces are a shear force and two end moments in this study. The governing differential equations of motion of the rectangular beam in free vibration are derived using Hamilton's principle and considering rotatory inertia. Parameters for the relative stiffness, stiffness ratio and nondimensionalized multiplication factor for the axial compressive force are incorporated into the equations of motion in order to investigate their effects on the natural frequencies. At first, the terms are found directly from the analytical solutions of the differential equations that describe the deformations of the cross-section according to the highorder theory. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the governing differential equations of the motion. The calculated natural frequencies of semi-rigid connected Reddy-Bickford beam with variable cross-section on elastic soil using DTM are tabulated in several tables and figures and are compared with the results of the analytical solution where a very good agreement is observed.

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Buckling analysis of partially embedded pile in elastic soil using differential transform method

Cited by 28 publications

References 27 publications

Soil–pile interaction considering structural yielding: Numerical modeling and experimental validation

Soil–pile interaction considering structural yielding: Numerical modeling and experimental validation

Study on Bearing Capacity of the Existing Engineering Pile Group without Lateral Displacement during Dynamic Top‐Down Construction

Solution of free vibration equations of semi-rigid connected Reddy–Bickford beams resting on elastic soil using the differential transform method

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