• Structural Engineering and Mechanics
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• 제28권2호
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• pp.221-238
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• 2008

Numerical solution to buckling analysis of beams and columns are obtained by the method of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for various support conditions considering the variation of flexural rigidity. The solution technique is applied to find the buckling load of fully or partially embedded columns such as piles. A simple semi- inverse method of DQ or HDQ is proposed for determining the flexural rigidities at various sections of non-prismatic column ( pile) partially and fully embedded given the buckling load, buckled shape and sub-grade reaction of the soil. The obtained results are compared with the existing solutions available from other numerical methods and analytical results. In addition, this paper also uses a recently developed technique, known as the differential transformation (DT) to determine the critical buckling load of fully or partially supported heavy prismatic piles as well as fully supported non-prismatic piles. In solving the problem, governing differential equation is converted to algebraic equations using differential transformation methods (DT) which must be solved together with applied boundary conditions. The symbolic programming package, Mathematica is ideally suitable to solve such recursive equations by considering fairly large number of terms.

• Earthquakes and Structures
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• 제10권5호
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• pp.1143-1179
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• 2016

Offshore wind turbines are considered as a fundamental part to develop substantial, alternative energy sources. In this highly flexible structures, monopiles are usually used as support foundations. Since the monopiles are large diameter (3.5 to 7 m) deep foundations, they result in extremely stiff short monopiles where the slenderness (length to diameter) may range between 5 and 10. Consequently, their elastic deformation patterns under lateral loading differ from those of small diameter monopiles usually employed for supporting structures in offshore oil and gas industry. For this reason, design recommendations (API and DNV) are not appropriate for designing foundations for offshore wind turbine structures as they have been established on the basis of full-scale load tests on long, slender and flexible piles. Furthermore, as these facilities are very sensitive to rotations and dynamic changes in the soil-pile system, the accurate prediction of monopile head displacement and rotation constitutes a design criterion of paramount importance. In this paper, the Fourier Series Aided Finite Element Method (FSAFEM) is employed for the determination of static impedance functions of monopiles for OWT subjected to horizontal force and/or to an overturning moment, where a non-homogeneous soil profile has been considered. On the basis of an extensive parametric study, and in order to address the problem of head stiffness of short monopiles, approximate analytical formulae are obtained for lateral stiffness $K_L$, rotational stiffness $K_R$ and cross coupling stiffness $K_{LR}$ for both rough and smooth interfaces. Theses expressions which depend only on the values of the monopile slenderness $L/D_p$ rather than the relative soil/monopile rigidity $E_p/E_s$ usually found in the offshore platforms designing codes (DNV code for example) have been incorporated in the expressions of the OWT natural frequency of four wind farm sites. Excellent agreement has been found between the computed and the measured natural frequencies.

• 한국지반공학회논문집
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• 제17권2호
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• pp.85-93
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• 2001

본 논문에서는 연약지반에 시공된 교대말뚝기초에 인접하여 성토하중이 재하될 때 발생하는 측방유동의 발생메커니즘을 규명하기 위해 3차원 유한요소해석을 수행하였다. 본 수치해석에서는 점성토 지반과 점성토-사질토 지반 그리고 사질토-점성토 지반에 선단지지된 강관말뚝에 대하여 성토하중 크기(q=20, 75, 100kPa)와 말뚝두부조건(변위구송, 회전구속) 그리고 말뚝중심간격(s=2.5d, 5.0d, 7.0d, 단독말뚝)에 따라 측방유동압의 분포형태와 크기를 분석하였다. 그 결과 측방유동압의 분포형태는 교대말뚝기초의 수평변위와 유사한 형태로 나타났으며 측방유동압의 크기는 배면 성토하중의 크기에 대한 비로써 결정할 수 있었다. 그리고 점성토 지반과 점성토-사질토 지반의 경우, 측방유동압의 분포형태와 크기는 말뚝두부조건에 가장 큰 영향을 받는 반면 사질토-점성토 지반의 경우에는 말뚝두부조건보다는 토층조건에 가장 큰 영향을 받는 것으로 분석되었다. 본 연구결과를 토대로 연약지반에 시공된 교대말뚝기초의 측방유동에 대한 설계 및 해석시 지침자료로서 측방유동압의 분포형태와 크기를 추천.제안한다.