• Title/Summary/Keyword: 비선형 정적 유한요소 해석

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Static Non-linear Finite Element Analysis of Spatial Cable Networks (3차원 케이블망의 초기평형상태 결정 및 정적 비선형 유한요소해석)

  • 김문영;김남일;안상섭
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.179-190
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    • 1998
  • A geometrically nonlinear finite element formulation of spatial cable networks is presented using two cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static nonlinear behaviors of cable nets.

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Modified Nonlinear Static Pushover Procedures of MDOF Bridgesfor Seismic Performance Evaluation (내진성능평가를 위한 다자유도 교량의 수정 비선형 등가정적해석법)

  • Cho, Chang-Geun;Kim, Young-Sang;Bae, Soo-Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.4
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    • pp.175-184
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    • 2006
  • Two methods of the nonlinear static pushover analysis have been presented for the performance-based seismic design and evaluation of MDOF continuous bridges. Guidelines for buildings presented in FEMA-273 applying the Displacement Coefficient Method (DCM) and in ATC applying the Capacity Spectrum Method(CSM) have been modified for MDOF bridges. Two methods are compared with the time- history analysis. The lateral load distribution pattern for seismic loads has been examined in the static pushover analysis. The force-based fiber frame finite element has been implemented in the modeling of reinforced concrete piers.

Local Nonlinear Static Analysis via Static Condensation (강성응축기법을 이용한 국부 비선형 정적 해석)

  • Shin, Han-Seop;Oh, Min-Han;Boo, Seung-Hwan
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.1
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    • pp.193-200
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    • 2021
  • In this study, an analysis technique using static condensation is proposed for an efficient local nonlinear static analysis. The static condensation method is a model reduction method based on the degrees of freedom, and the analysis model is divided into a target part and a condensed part to be omitted. In this study, the nonlinear and linear parts were designated to the target and the omitted parts, respectively, and both the stiffness matrix and load vector corresponding to the linear part were condensed into the nonlinear part. After model condensation, the reduced model comprising the stiffness matrix and the load vector for the nonlinear part is constructed, and only this reduced model was updated through the Newton-Raphson iteration for an efficient nonlinear analysis. Finally, the efficiency and reliability of the proposed analysis technique were presented by applying it to various numerical examples.

An Improved Finite Element for Structural Analysis of Cable-Supported Structures (케이블 지지구조물의 구조해석을 위한 개선된 유한요소)

  • 김선훈;최창근;송명관
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.2
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    • pp.117-125
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    • 2001
  • 본 논문에서는 케이블 지지구조물의 비선형 정적해석과 동적해석에 사용할 수 있는 개선된 유한요소가 제시되었다. 케이블의 모델화를 위해 등가탄성계수를 사용하고 처짐곡선을 현수선함수로 가정한 케이블요소가 제안되었다. 프레임 부재에 사용되는 안정함수는 수치적으로 안정한 해를 얻기 위하여 수정되었다. 본 논문에서 제안한 요소의 유용성과 효율성을 검토하기 위하여 다양한 검증문제에 대한 수치해석이 수행되었다. 해석결과 본 논문에서 제시한 유한요소는 케이블 지지구조물의 모델화에 매우 유용하고 효율적으로 사용될 수 있을 것으로 판단된다.

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Geometric and Material Nonlinear Analysis of Single Layer Dome using ABAQUS (유한요소 해석을 이용한 단층 래티스 돔의 비선형비탄성 해석)

  • Kim, Yeon-Tae;Jeong, Mi-Roo;Lee, Jae-Hong
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.119-124
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    • 2008
  • Space structure is a appropriate shape that resists external force only with in-plane force by reducing the influence of bending moment, and it maximizes the effectiveness of structure system. The space structure should be analized by nonlinear analysis regardless static and dynamic analysis because it accompanies large deflection for member. To analyze the structure of the space structure exactly generally geometrically nonlinear and material nonlinear, complex nonlinear analysis are considered. To settle the weakness that geometric nonlinear problem does not consider nonlinear as per trait and position of the structure material and that the nonlinear matter of structure material also does not consider nonlinear as per geometric form. Therefore, In this paper, analysis is considered geometric nonlinear and material nonlinear simultaneous conditioning, and traced load-deflection curve by using ABAQUS which is the general purpose of the finite element program.

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Simplified Nonlinear Static Progressive Collapse Analysis of Steel Moment Frames (철골모멘트골조의 비선형 정적 연쇄붕괴 근사해석)

  • Lee, Cheol Ho;Kim, Seon Woong
    • Journal of Korean Society of Steel Construction
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    • v.19 no.4
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    • pp.383-393
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    • 2007
  • A simplified model which incorporates the moment-axial tension interaction of the double-span beams in a column-removed steel frame is presented in this paper. To this end, material and geometric nonlinear parametric finite element analyses were conducted for the double-span beams by changing the beam span to depth ratio and the beam size within some practical ranges. The beam span to depth ratio was shown to be the most influential factor governing the catenary action of the double-span beams. Based on the parametric analysis results, a simplified piece-wise linear model which can reasonably describe the vertical resisting force versus the beam chord rotation relationship was proposed. It was also shown that the proposed method can readily be used for the energy-based progressive collapse analysis of steel moment frames.

Finite Element Analysis of Ultra High Performance Fiber Reinforced Concrete 50M Composite Box Girder (초고강도 섬유보강 콘크리트 50M 합성 박스거더의 유한요소해석)

  • Makhbal, Tsas-Orgilmaa;Kim, Do-Hyun;Han, Sang-Mook
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.6 no.2
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    • pp.100-107
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    • 2018
  • The material and geometrical nonlinear finite elment analysis of UHPFRC 50M composite box girder was carried out. Constitute law in tension and compressive region of UHPFRC and HPC were modeled based on specimen test. The accuracy of nonlinear FEM analysis was verified by the experimental result of UHPFRC 50M composite girder. The UHPFRC 50M segmental composite box girder which has 1.5% steel fiber of volume fraction, 135MPa compressive strength and 18MPa tensile strength was tested. The post-tensioned UHPFRC composite girder consisted of three segment UHPFRC U-girder and High Strength Concrete reinforced slab. The parts of UHPFRC girder were modeled by 8nodes hexahedron elements and reinforcement bars and tendons were built by 2nodes linear elements by Midas FEA software. The constitutive laws of concrete materials were selected Multi-linear model both of tension and compression function under total strain crack model, which was included in classifying of smeared crack model. The nonlinearity of reinforcement elements and tendon was simulated by Von Mises criteria. The nonlinear static analysis was applied by incremental-iteration method with convergence criteria of Newton-Raphson. The validation of numerical analysis was verified by comparison with experimental result and numerical analysis result of load-deflection response, neutral axis coordinate change, and cracking pattern of girder. The load-deflection response was fitted very well with comparison to the experimental result. The finite element analysis is seen to satisfactorily predict flexural behavioral responses of post-tensioned, reinforced UHPFRC composite box girder.

Sensitivity Analysis of 3-Dimensional FE Models for Jointed Concrete Pavements (줄눈 콘크리트포장 3차원 유한요소모델의 민간도 분석)

  • Yoo, Taeseok;Sim, Jongsung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3D
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    • pp.435-444
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    • 2006
  • This paper investigates the effect of 3-dimensional FE models to evaluation results of jointed concrete pavements which is back-calculated by AREA method. Sensitivity of 3-dimensional FE models developed to simulate the behavior of real jointed concrete pavement are analyzed after compared with 2-dimensional FE models using ILLISLAB. In comparison with 2-dimensional models, influence of concrete contraction under loading plate and base layer on surface deflections is more than that of loading configuration. Deflections at 3-dimensional model between linear and nonlinear temperature distribution under same temperature difference are similar, but noticeable differences are investigated in low elastic modulus of foundations. Dynamic deflections under loading plate are larger than static deflections in high elastic modulus of foundation, but smaller in low elastic modulus. Lower dynamic modulus of subgrade reactions are backcalculated by dynamic deflections than by static deflections. But reverse trend is investigated in the backcalculated elastic modulus of concrete which describes trends of the field backcalculation values calculated from AREA method.

Evaluation of Structural Performance of Precast Prefabricated Bridge Column using Nonlinear Finite Element Analysis (비선형 유한요소해석을 이용한 조립식 교각의 성능 평가)

  • Chung, Chul-Hun;Yun, Yeon-Suk;Whang, Eun-Jung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.3A
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    • pp.383-390
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    • 2008
  • A Precast Prefabricated Bridge Column using steel tube and prestressing bar was proposed for the application of precast method on substructure. A column specimen designed by the proposed bridge column system was made and performed a quasi-static test. The failure mode appeared to be a flexural failure and there is no damage on column segment connection. And it is good use of the self-centering ability by prestressing force. Test results showed that a column specimen satisfy the earthquake specification, and the structural stability was verified. Nonlinear finite element analysis was performed and compared with the test results. Force-displacement relation and location of crack from the analysis results were compared with the test results and it agreed well. The quantitative analysis was also performed by a parametric study using this modeling technique.

Linear Analysis and Non-linear Analysis with Co-Rotational Formulation for a Cantilevered Beam under Static/Dynamic Tip Loads (정적 및 동적 하중을 받는 외팔보 거동에 관한 선형 및 CR 정식화 비선형 예측의 비교)

  • Ko, Jeong-Woo;Bin, Young-Bin;Eun, Won-Jong;Shin, Sang-Joon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.5
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    • pp.467-475
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    • 2015
  • In this paper, the behaviour of a cantilevered beam was predicted to examine the difference between linear and non-linear static, dynamic analysis for a structure by using CR nonlinear formulation. Then, external transverse static and dynamic loads were applied at the free tip of the beam. Classical theories were used for the present linear analysis and co-rotational dynamic FEM program was used for the present nonlinear analysis. In the static analysis, effects of the load for the beam deflection were observed in both linear and nonlinear analysis. Then, normalized displacement at the tip of the beam was predicted for different frequency ratio and a significant difference was obtained in the vicinity of the resonant frequency. In addition, effects of frequency and time for the beam deflection were investigated to find the frequency delay.