• Title/Summary/Keyword: 뼈대구조해석

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Earthquake Resistant Design of a Steel Framed Structure in Low Seismic Regions Based on the Dynamic Behaviour (동적거동에 기초한 약진지역 철골뼈대구조물의 내진설계)

  • 국승규
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.2
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    • pp.59-66
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    • 2001
  • 구조물 내진설계의 개념은 기존요구조건이라는 조항으로 시방서에 규정되어 있으며 구조물이 지진발생시에 안전성과 경제성을 최대한 확보할 수 있으며 비선형시간 이력해석을 수행하여 자진시의 동적거동을 기술함으로써 확인할 수 있다. 내진설계에 보편적으로 적용하는 응답스펙트럼해석법은 선형해석법으로 구조물의 비선형동적거동의 영향을 거동계수로 반영하므로 파괴메카니즘 및 기본 요구조건의 만족여부를 거동계수를 구하는 과정으로 결정할 수 있다. 이 연구에서는 내진설계방식에 의해 설계된 약진지역에 의한 화학공장건물의 모델인 3차원 철골뼈대구조물을 선정하고 거동계수를 결정하는 과정을 수행하여 지진시의 동적거동을 확인하였다. 이 연구의 결과, 현 시방서의 응답스펙트럼해석법에 적용되는 거동계수는 강진지역의 구조물의 경우 기능성 및 안정성 한계를 제시하지만 약진지역 구조물의 경우는 실제 동적거동과 무관하다는것과 약진 지역에 위치한 구조물의 내진설계에는 시방서가 제시한 내진설계방식을 적용하는 것이 주요한 사항임을 확인하였다.

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Geometrically Non-Linear Analysis of Space Frames Considering Finite Rotations (유한회전을 고려한 공간뼈대의 기하학적 비선형해석)

  • Chu, Seok Beom
    • Journal of Korean Society of Steel Construction
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    • v.9 no.1 s.30
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    • pp.81-94
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    • 1997
  • 본 연구에서는 유한 회전에 의한 효과를 고려한 곡선 보요소를 개발하고, 이 요소를 이용하여 공간뼈대 구조물의 기하학적 비선형 해석을 수행하였다. 이 곡선 보요소는 증분 변위장에 Rodriguez의 2차 유한 회전항을 포함시킴으로써, 유한 회전에 의한 기하학적 평형을 유지하도록 하였다. 대변형 해석을 위하여 Total Lagrangian 방법이 적용되었으며, 비선형 해석을 수행하기 위한 알고리즘으로는, 여러개의 임계점을 갖는 비선형 거동가지도 추적할 수 있도록 하중 및 변위 증분의 조합법이 사용되었다. 공간 뼈대 구조물의 해석 예제를 통하여, 기하학적 비선형 해석에서 발생하는 유한 회전에 의한 효과를 확인하고, 본 연구에서 제안한 유한요소의 효율성 및 비선형 알고리즘으로 선택한 하중 및 변위 증분의 조합법의 적용성을 입증하였다.

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Stability and Post-Buckling Analyses of Thin-Walled Space Frames Using Finite Element Method (박벽 공간뼈대구조의 안정성 및 후좌굴 유한요소해석)

  • 김문영;안성원
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.205-216
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    • 1997
  • In order to trace the lateral post-buckling behaviors of thin-wafled space frames, a geometrically nonlinear finite element formulation is presented by applying incremental equilibrium equations based on the updated Lagrangian formulation and introducing Vlasov's assumption. The improved displacement field for symmetric thin-walled cross sections is introduced based on inclusion of second order terms of finite rotations, and the potential energy corresponding to the semitangential rotations and moments is consistently derived. For finite element analysis, tangent stiffness matrices of the thinwalled space frame element with 7 degrees of freedom including the restrained warping for each node are derived by using the Hermition polynomials as shape functions. A co-rotational formulation in order to evaluate the unbalanced loads is presented by separating the rigid body rotations and pure deformations from incremental displacements and evaluating the updated direction cosines of the frame element due to rigid body rotations and incremental member forces from pure deformations. Finite element solutions for the spatial buckling and post-buckling analysis of thin-walled space frames are presented and compared with available solutions and other researcher's results.

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Geometrically Non-linear Finite Element Analysis of Space Frames (공간뼈대구조의 기하학적 비선형 유한요소해석)

  • 김문영;안성원
    • Computational Structural Engineering
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    • v.10 no.1
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    • pp.201-211
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    • 1997
  • A clearly consistent finite element formulation for geometrically non-linear analysis of space frames is presented by applying incremental equilibrium equations based on the updated Lagrangian formulation and introducing Vlasov's assumption. The improved displacement field for symmetric cross sections is introduced based on inclusion of second order terms of finite rotations, and the potential energy corresponding to the semitangential rotations and moments is consistently derived. For finite element analysis, elastic and geometric stiffness matrices of the space frame element are derived by using the Hermitian polynomials as shape functions. A co-rotational formulation in order to evaluate the unbalanced loads is presented by separating the rigid body rotations and pure deformations from incremental displacements and evaluating the updated direction cosines of the frame element due to rigid body rotations and incremental member forces from pure deformaions. Finite element solutions for the spatial buckling and post-buckling analysis of space frames are compared with available solutions and other researcher's results.

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Optimization of Direct Design System of Steel Framesusing Advanced Analysis and Genetic Algorithm (고등해석과 유전자 알고리즘을 이용한 강뼈대 구조물의 직접설계시스템의 최적화)

  • Choe, Se-Hyu;Roh, Woo-Hyuk;Kim, Jong-In;Park, Kyung-Sik
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.5
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    • pp.203-211
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    • 2006
  • In this paper, the optimization of direct design system of steel frames by genetic algorithm involving advanced analysis are performed. For the analysis of steel frames advanced analysis accounting for geometric nonlinearity and material nonlinearity are executed. The genetic algorithm was used as optimization technique. The weight of structures is treated as the objective function. The constraint functions are defined by load-carrying capacities, deflections, inter-story drifts, and ductility requirement. The effectiveness of the proposed method are verified by comparing the results of the proposed method with those of other method.

Stability and P-Δ Analysis of Generalized Frames with Movable Semi-Rigid Joints (일반화된 부분강절을 갖는 뼈대구조물의 안정성 및 P-Δ 해석)

  • Min, Byoung Cheol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.2
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    • pp.409-422
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    • 2013
  • For stability design and P-${\Delta}$ analysis of steel frames with semi-rigid connections, the explicit form of the exact tangential stiffness matrix of a generalized semi-rigid frame element having rotational and translational connections is firstly derived using the stability functions. And its elastic and geometric stiffness matrix is consistently obtained by Taylor series expansion. Next depending on connection types of semi-rigidity, the corresponding tangential stiffness matrices are degenerated based on penalty method and static condensation technique. And then numerical procedures for determination of effective buckling lengths of generalized semi-rigid frames members and P-${\Delta}$ and shortly addressed. Finally three numerical examples are presented to demonstrate the validity and accuracy of the proposed method. Particularly the minimum braced frames and coupled buckling modes of the corresponding frames are investigated.

Stability Design of Steel Frames considering Initial Imperfection based on Second-Order Elastic Analysis (2차 탄성해석을 이용한 강뼈대구조의 초기결함 좌굴설계)

  • Kyung, Yong Soo;Lee, Chang Hwan;Kim, Moon Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4A
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    • pp.465-474
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    • 2008
  • Generally design of frame structures composed of beam-column member is accomplished by stability evaluation of each member considering the effective buckling length. This study selects a member of the smallest non-dimension slenderness ratio using the buckling eigenvalue calculated by the elastic buckling eigen-value analysis and axial force of the each member, and decides the initial deflection quantity reflected geometric and material nonlinearities from a suggested equation on the base of standard strength curve of Korea Bridge Design Code. Second-order elastic analysis applying the initial deflection is executed and the stability of each member is evaluated and decides ultimate strength. Through examples of eight-stories and four-stories plane frame structures, the evaluation of the stability is compared with the existing method and ultimate strength of the suggested method is compared with ultimate strength by the nonlinear inelastic analysis. Through these procedures, the increasing of effective buckling length by elastic buckling eigenvalue analysis is prevented from a new design method that considers initial imperfections. And the validity of this method is proved.

노스리지 지진하의 강 뼈대 구조물에 대한 사례 연구

  • 김기동
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.46-57
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    • 1998
  • 노스리지 지진하의 모멘트 저항 강 뼈대 구조물에 대한 사례연구결과를 요약하면 다음과 같다. 1) 탄성과 비탄성 동적해석 방법의 신뢰도가 구조물의 동적거동의 모형화에 크게 영향을 받는다는 것을 알 수 있었고 구조물의 동적거동의 모형화를 위한 보다 개선된 지침과 기준의 필요성이 부각되었다. 2) 비탄성 횡방향 정적해석은 6층높이의 건물까지는 비탄성동적해석과 유사한 결과를 보였으나 10층 이상의 건물에서는 고차 모드 효과를 고려하지 못하여 상당히 상이한 결과를 나타냈다. 3) 응답스펙트럼 해석은 노스리지 지진하에서 탄성 시간이력 해석에 비하여 100%까지 상이한 결과를 보였다. 특정지진에 대한 구조물거동의 상세조사시 응답 스펙트럼 해석 대신 시간이력해석을 수행하는 것이 바람직하다. 4) 탄성 부재력의 저항능력 비와 소성 회전각 등의 거동지수 등은 현존하는 건물의 연결부 손상을 검사하기 위한 지침을 마련하는데 도움을 줄 수 있지만 특정 연결부를 검사에서 배제시키는 유일한 근거로 사용되어서는 안될 것으로 판단된다.

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Ultimate Strength Testing of 3-D Steel Frame Subjected to Non-Proportional Loads (순차하중을 재하한 3차원 강뼈대 구조물의 극한강도 실험)

  • Kim, Seung Eock;Kang, Kyung Won
    • Journal of Korean Society of Steel Construction
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    • v.14 no.1
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    • pp.59-67
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    • 2002
  • The ultimate strength testing of a two-story, single-bay, and sway allowed space steel frame was performed. Considering a majority of large-scale frame tests in the past, only two-dimensional frames were experimentally studied. Therefore, three-dimensional experiment is needed to extend the knowledge of this field. The steel frame subjected to non-proportional vertical and horizontal load was tested. The load-displacement curve of the test frame is provided. The experiment results are useful for verification of the three-dimensional numerical analysis. The results obtained from 3D non-linear analysis using ABAQUS were compared with experimental data.

Exact Tangent Stiffness Matrix and Buckling Analysis Program of Plane Frames with Semi-Rigid Connections (부분강절로 연결된 평면뼈대구조의 엄밀한 접선강도행렬 및 안정성 해석프로그램 개발)

  • Min, Byoung Cheol;Kyung, Yong Soo;Kim, Moon Young
    • Journal of Korean Society of Steel Construction
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    • v.20 no.1
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    • pp.81-92
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    • 2008
  • Generally the connection of members is defined as hinge or rigid. But, real joints on structure have to be considered semi-rigid connections because this permits relative rotation for members on joints. The purpose of this study is to derive a generalized tangential stiffness matrix of frames with semi-rigid connections and to develop a buckling analysis program. For the exact stiffness matrix, an accurate displacement field is introduced using an equilibrium equation for beam-columns under the bending and axial forces. Also, stability functions that consider sway deformation and force-displacement relations with rotational spring on ends were defined. In order to illustrate the accuracy of this study and the characteristics of semi-rigid for system buckling load, samples of angle-, portal- and 3-story frames with semi-rigid connections are presented, where the proposed approach is found to be in excellent agreement with other research results. Meanwhile, the application of codes such as Eurocode 3 and LRFD led to significant inaccuracies.