• Title/Summary/Keyword: 기하학적 비선형 구조해석

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The Discrete Optimum Design of Steel Frame Considering Material and Geometrical Nonlinearties (재료 및 기하학적 비선형을 고려한 브레이싱된 강뼈대구조물의 최적설계)

  • Chang, Chun Ho;Park, Moon Ho;Lee, Hae Kyoung;Park, Soon Eung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.3 s.46
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    • pp.317-328
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    • 2000
  • The objective of the research is to develop an algorithm for the optimum design of two-dimensional braced steel frames using an advanced analysis, which considers both material and geometric nonlinearties. Since both nonlinearties are considered in analysis process, Optimum design algorithm which does not require to calculate K-factor is presented. A multi-level discrete optimization technique with two parameters that uses the information of structural system and separate member has been developed. The structural analysis is performed by the relined plastic-hinge method which is based on zero-length plastic hinge theory. Optimization problem are formulated by AISC-LRFD code. The feasibility, validity and efficiency of the developed algorithm is demonstrated by the results of the braced steel frame.

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A study on the characteristic analysis of superposed leaf springs with geometric and material nonlinearities (기하학적. 재료적 비선형성을 갖는 중첩된 판 스프링의 특성해석에 관한 연구)

  • 김형구;임정식;김일곤;손동성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.13-22
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    • 1990
  • A general analysis method is proposed for analysis of the superposed structures with geometric and material nonlinearities. It is presumed that no friction occurs between structures. It utilizes a shell element for the geometric and material nonlinearities and imposes various deformation constraints for the contact and interaction between structures. To show the reliability and effectiveness of this method, superposed cantilevers for which exact solutions can be obtained and holddown spring assemblies which are now used in PWR reactors are chosen as analysis models. The results of analyses were compared with exact solution in the case of cantilevers and with test results in the case of holddown spring assemblies. The analysis results obtained by this method showed good agreement with the reference values.

Optimum Design of Plane Steel Frames Using Second-Order Inelastic Analysis and Section Increment Method (2차 비탄성해석과 단면점증법을 이용한 평면 강골조 구조물의 최적설계)

  • Choi, Se-Hyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.12 no.5
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    • pp.143-151
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    • 2008
  • In this paper, the optimum design of plane steel frames using second-order inelastic analysis and section increment method is presented. Since the second-order inelastic analysis accounts for geometric and material nonlinearities of the whole system as well as its component members, the design method based on second-order inelastic analysis does not require separate member capacity checks after analysis. A section increment method proposed by this paper is 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.

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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A Study on the Bucking Load Formulae for the Single Layer Latticed Dome (단층 래티스 돔의 좌굴하중 산정식에 관한 연구)

  • Han, Sang-Eul;Yang, Jae-Geun;Lee, Sang-Ju;Lee, Jung-Hyun
    • Journal of Korean Association for Spatial Structures
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    • v.6 no.1 s.19
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    • pp.75-82
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    • 2006
  • The single layer latticed dome is very sensitive on the slenderness ratio and half open angle of the elements, load condition, and the connection type because it is organized by a lot of thin elements, so we have to use the geometrically nonlinear buckling load when the buckling of the structures is analyzed. But, it is very difficult to design the single layer latticed domes considered all renditions. Therefore the purpose of this paper is to propose the appropriate design method of the single layer latticed dome considered the geometrically nonlinear buckling load in base of the linear buckling load by the eigenvalue analysis.

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크레인 하중을 받는 강재 격납구조물의 안전성 평가

  • 서용표;김우범;이경진;송윤수
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05b
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    • pp.844-850
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    • 1998
  • 본 연구에서는 개방구(opening)을 갖는 원자력발전소 강재 격납구조물의 내력을 평가함에 있어서 기존의 실용 구조설계에 적용된 개구부가 없는 원통형 쉘의 좌굴 판정 기준이 적절하지 않음을 밝혔으며, 대안으로서 개방구(opening)를 갖는 원통형 강재 격납구조물의 재료적 비선형과 기하학적 비선형을 고려한 극한 내력 해석을 수행함으로써 중기발생기 교체작업시 유발되는 인양 하중에 대한 격납구조물의 구조적 안전성을 평가하였다. 개방구를 갖는 격납구조물에 대하여 stiffner가 있는 상태에서 크레인 하중에 대한 극한 내력을 평가해본 결과 크레인 하중이 재하될 경우, 구조물이 선형 탄성 범위에 있는 것으로 확인되었으며 개방구 주위의 국부적인 항복응력도달 상태에 대하여 10.8의 안전율을 확보 할 수 있는 것으로 계산되었다. 본 연구를 통하여 제시된 개방구를 갖는 강재 격납구조물의 극한내력 평가 방법은 유사 구조물의 구조건전성 평가에 활용될 수 있을 것으로 사료된다.

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Nonlinear Analysis of Improved Degenerated Shell Finite Element (개선된 Degenerated 쉘 유한요소의 비선형 해석)

  • 최창근;유승운
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.113-123
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    • 1990
  • The paper is concerned with the elasto-plastic and geometrically nonlinear analysis of shell structures using an improved degenerated shell element. In the formulation of the element stiffness, the combined use of three different techniques was made. They are; 1) an enhanced interpolation of transverse shear strains in the natural coordinate system to overcome the shear locking problem ; 2) the reduced integration technique in in-plane strains to avoid the membrane locking behavior ; and 3) selective addition of the nonconforming displacement modes to improve the element performances. This element is free of serious shear/membrane locking problems and undesirable compatible/commutable spurious kinematic deformation modes. In the formulation for plastic deformation, the concept of a layered element model is used and the material is assumed von Mises yield criterion. An incremental total Lagrangian formulation is presented which allows the calculation of arbitrarily large displacements and rotations. The resulting non-linear equilibrium equations are solved by the Netwon-Raphson method combined with load or displacement increment. The versatility and accuracy of this improved degenerated shell element are demonstrated by solving several numerical examples.

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Dynamic Characteristics of Space Framed Structures by Using Nonlinear Transient Analysis (비선형 과도해석을 이용한 스페이스 프레임 구조물의 동적특성)

  • Son, Jin Hee;Kim, Joo-Woo
    • Journal of Korean Society of Steel Construction
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    • v.28 no.6
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    • pp.395-402
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    • 2016
  • Space frame structures considering the components such as forms, layers, grids, etc. are possible to form a large space without interior columns. Here, steels having the yield strengths of 210 MPa to 450 MPa are generally used. The high strength steel (i.e., yield strength of 690 MPa) having suitable weldability, aseismicity and economics have been recently developed. In this paper, the high strength steel is applied to the space frame structures in order to analytically find out their transient responses considering the material and geometric nonlinearities. For various circular dome types of space frame structures, the modal analysis and nonlinear transient analysis are carried out using nonlinear three dimensional finite element analysis.

Nonlinear analysis of containment structure under thermal and pressure load (원자로 격납건물의 열응력해석연구)

  • 오병환;이명규
    • Proceedings of the Korea Concrete Institute Conference
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    • 1993.04a
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    • pp.219-224
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    • 1993
  • 본 연구는 철근콘크리트 격납구조물에서 가상의 냉각제 유출사고에 의한 온도하중과 압력에 따른 거동을 알아보기 위한 비선형 해석을 수행하였다. 시간에 따른 온도하중을 결정하기 위하여 과도온도해석을 통해 격납구조물 단면내의 온도분포를 구하였다. 구조물은 기하학적 비선형성과 재료비선형성을 고려한 판 및 쉘요소로 이상화되며, 쉘요소는 두께방향에 따라 변하는 응력을 고려하기 위해 몇 개의 층으로 이루어진 모델을 사용하였다. 열응력은 인접한 두시간 단계에서의 온도차를 하나의 하중증가로 고려하여 초기변형 문제로 변환하여 결정되었다. 본연구에서의 수치실험에 의하여 과도온도해석에 근거한 비선형온도경사를 고려할 때의 변위가 고려하지 않을 때의 변위에 비해 크게 나타남을 알 수 있다.

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A Study on the Unstable behavior according to Lode and boundary condition of shelled space frame structure (쉘형 스페이스 프레임 구조물의 하중 및 경계조건에 따른 불안정 거동에 관한 연구)

  • Kim, Nam-Seok;Shon, Su-Deog;Kim, Seung-Deog
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.80-85
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    • 2008
  • This paper investigate the structure instability properties of the shelled space frame structure. The large structure must have thin thickness for build the large space structure there fore structure instability review is important when we do structural design. The structure instability of the shelled structure accept it sensitively by varied conditions. This come to a nonlinear problem with be concomitant large deformation. In this study, it is compared unstable behavior according to lode and boundary condition of the shelled space frame structure through numerical method which considered geometrical nonlinear and grasped influence for the instability phenomenon and investigated the fundamental collapse mechanism.

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