• Journal of the Computational Structural Engineering Institute of Korea
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• v.19 no.1 s.71
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• pp.55-62
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• 2006

The natural frequency of a beam plays a critical role in the dynamic analysis of beams. Especially it is a complicated and difficult task to analyse the natural frequency of a stepped beam with an irregularly varying section. The lumped mass methods, multi-degree of freedom analyses, are mainly used for the analysis of this kind of stepped beams. The accuracy of these methods are determined by the number of the partitions of elements, the number of the iterations in calculation, and the accuracy of assumed mode shapes. This study presents a method of transformation from symmetrically stepped beams to an equivalent beam and a method of the eigenvalue analysis. Appropriateness and utility of this method are demonstrated by comparing examples from other literatures and various models.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.21 no.4
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• pp.401-410
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• 2008

The natural frequency of a beam plays an important role in not only vibration analysis but also understanding its dynamic characteristics. It is complicated to analyse the natural frequency of a stepped beam with discontinuously varying section. Approximate analysis methods such as Rayleigh-Ritz method, FEM, etc. are frequently used for the vibration analysis of stepped beams. In such a case, accuracy of these methods depends upon the number of partitioned elements, the number of the iterations in calculation and the assumed mode shape. This study presents an approximate analysis method for the fundamental natural frequency analysis of stepped cantilever beam, using equivalent beam transformation technique. Validity and usefulness are verified by comparing the proposed method with FEM for several example problems.

• Proceedings of the Korea Water Resources Association Conference
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• 2010.05a
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• pp.615-619
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• 2010

4대강 살리기 프로젝트 중 하나인 금강 살리기에는 현재 금남보, 금강보, 부여보가 신설 예정이다. 본 연구에서는 금강 살리기 사업 중 부여보에 대하여 계획홍수량인 100년빈도 유량의 흐름 예측을 위한 1 2차원 수치해석과 수리적인 형상을 실제 흐름으로 관찰하기 위한 수리모형실험을 실시하여 부여보의 치수안정성을 검토 및 분석하였다. 본 연구를 위하여 1차원 수치해석은 HEC-RAS모형, 2차원 수치해석은 SMS RMA2 모형을 사용하였다. 수리모형 실험은 부여보 기준 상 하류 3km 구간에 대하여 축척 1/60 정상모형으로 제작하였다. 그 결과 부여보 상 하류구간에서 원활한 흐름특성이 나타났으며, 100년빈도 유량에 대하여 수치해석과 수리모형실험 모두 계획홍수위를 넘지 않는 것으로 나타났다.

• Journal of Korean Association for Spatial Structures
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• v.6 no.3 s.21
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• pp.77-86
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• 2006

The stress analysis of cold-formed channel section steel beams under transverse load is presented. The local buckling as well as the lateral buckling effects are included in the analysis. The analytical model is developed based on the thin-walled beam theory, and a one-dimensional finite element model is formulated to solve the analytical model. Numerical results are compared with AISI code. It shows that the proposed model is appropriate for predicting of stress as well as deflection of the cold-formed channel section beam.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.14 no.2
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• pp.203-211
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• 2001

고층구조물의 해석에 사용되는 ETABS와 같은 상용프로그램은 해석의 단순화를 위하여 강막가정을 사용하게 된다. 이와 같은 강막가정은 일반적으로 바닥판의 휨 강성과 보의 편심효과를 무시하게 된다. 이러한 가정은 골조구조물의 정적해석에 대해서는 정당한 결과를 얻을 수 있으나 동적해석의 경우에는 바닥판의 휨 강성과 보의 편심효과가 구조물의 횡 방향 거동에 주요한 영향을 미치게 된다. 그러나 바닥판의 영향과 보의 편심효과를 고려하기 위해서는 유한요소의 특성상 바닥판과 보를 여러 개의 요소로 나누어야 하며, 이로 인하여 해석과 구조물의 모형화에 많은 시간이 소요되는 단점이 발생하게 된다. 본 논문에서는 이러한 단점을 보완하기 위하여 부분구조기법과 대형요소를 사용한 효율적인 모형화 방법에 대하여 연구하였다. 또한 최종적으로 각 층에 대하여 강막가정을 적용하여 층 당 3개의 자유도만을 고려하는 막대모델을 제안하였다. 본 논문에서는 제안한 모형화기법의 정당성을 검토하기 위하여 구조물의 응답을 비교하였다.

• Journal of the Society of Naval Architects of Korea
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• v.34 no.3
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• pp.76-84
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• 1997

At the initial design stage, for rapid evaluation of strength of ship structures, finite element analysis using beam elements is carried out in general. In beam modeling of ship structures, brackets are usually represented by rigid elements to simplify the analysis. Extent of rigid ends, which is called as a span point, can be determined from the three kinds of view points, i.e., bending, shearing and axial deformation. In this paper, a 2-dimensional novel beam element is developed and a method to replace the 3-dimensional analysis with 2-dimensional analysis is proposed. The developed novel beam element named rigid-ended beam element can consider the effect of three kinds of span points within one element, which was impossible in modeling with the ordinary beam element. Calculated results for the portal frame using the rigid-ended beam element agree with the results using membrane elements. And also, the proposed semi 3-dimensional analysis method which includes two step analysis using influence coefficients shows good accuracy. Structural analysis using the rigid-ended beam element and the semi 3-dimensional method is revealed to have good computing efficiency due to unnecessity of elements corresponding to the brackets and simplification of 3-dimensional analysis.

• Computational Structural Engineering
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• v.11 no.4
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• pp.295-307
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• 1998

철근콘크리트 보에 대해서 인장강화효과의 소성힌지길이를 고려한 재료비선형 해석을 수행하였다. 비선형 해석에서 자유도가 많은 대형구조물에 적용시키기에는 많은 제약이 따르는 복잡한 층상해석기법을 사용하는 대신 단면해석을 통해 미리 구성된 모멘트-곡률 관계를 이용하였으며, 유한요소해석에서 사용요소의 크기에 따른 수치해석상의 오차를 줄이기 위해 인장강화효과와 소성힌지길이 개념을 도입하였다. 마지막으로 제안된 해석 알고리즘의 타당성을 검증하기 위하여 해석결과와 실험결과간의 상호 관계를 비교, 분석하였다.

• Composites Research
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• v.20 no.6
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• pp.15-20
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• 2007

In this work, the structural response of thin-walled, composite beams with built-in twist angles is analyzed using a mixed beam approach. The analytical model includes the effects of elastic couplings, shell wall thickness, and torsion warping. Reissner's semi-complimentary energy functional is used to describe the beam theory and also to deal with the mixed-nature in the beam kinematics. The bending and torsion related warpings introduced by the non-zero pretwist angles are derived in closed-form through the proposed beam formulation. The theory is validated with available literature and detailed finite element analysis results for rectangular solid section beams with elastic couplings. Very good correlation has been obtained for the cases considered.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.12
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• pp.294-302
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• 2018

To analyze the behavior of a soil beam under pore water pressure, the results of analytical solutions and finite element analysis (FEM) were compared quantitatively. In contrast to the results of the analytical solution, the horizontal stress obtained from the FEM did not show a symmetrical distribution. On the other hand, the horizontal stress became closer to symmetrical distribution as the number of elements of the soil beam were increased. A comparison of the horizontal stresses from the analytic solution with those obtained from Gaussian points of FEM showed that the magnitude of the tensile stress from the FEM using 3 elements was 6% of the maximum value of the analytical solution and the compressive stress from the FEM using the same elements was 37% of the maximum value of the analytical solution. The magnitude of the tensile stress from the FEM using 6 elements was 61% of the maximum value of the analytical solution and the magnitude of the compressive stress from the FEM using the elements was 83% of the maximum value of the analytical solution. Vertical stresses, which were obtained from the analytical solution, showed a continuous distribution with the depth of the soil beam, whereas the vertical stresses from the FEM showed a discrete distribution corresponding to each element. The results also showed that the average value of the vertical stresses of each element was close to that of the pore water pressure. A comparison of the vertical displacements computed at the near vertical center line of the soil beam from the FEM with those of the analytical solution showed that the magnitude of the vertical displacement from FEM using 3 elements was 35% of the value of the analytical solution and the magnitude of the vertical displacement from FEM using 6 elements was 57% of the value of the analytical solution.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.20 no.6
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• pp.691-697
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• 2007

Numerical eigen analysis of beam-like structure can be easily and effectively done by various conventional beam theory-based methods. However, in case of the structures composed of composite-sectioned beams, the application of conventional numerical methods requires one to derive both equivalent material and geometry properties. In the present paper, these equivalent properties are derived by the transformed section method and the test FEM program is coded. The numerical accuracy of the proposed method is verified through the comparison with the ANSYS 3-D model.