• Title/Summary/Keyword: 소성 힌지 이론

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Plastic Hinge Modeling Based on Lumped Plasticity using a Generalized Finite Element Method (일반유한요소법을 이용한 집중소성힌지 모델링)

  • Son, Hong-Jun;Rhee, Seung-Ho;Kim, Dae-Jin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.6
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    • pp.381-388
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    • 2018
  • This paper presents a generalized finite element formulation for plastic hinge modeling based on lumped plasticity in the classical Euler-Bernoulli beam elements. In this approach, the plastic hinges are effectively modeled using proper enrichment functions describing weak discontinuities of the solution. The proposed methodology enables the insertion of plastic hinges at an arbitrary location without modifying the connectivity of elements. The formations of plastic hinges are instead achieved by hierarchically adding degrees of freedom to existing elements. Convergence analyses such as h- and p-extensions are performed to investigate the effectiveness of the proposed method. The analysis results indicate that the proposed generalized finite element method can achieve theoretical convergence rates for both cases where plastic hinges are located at nodes and within an element, thus demonstrating its accuracy.

Elasto-plastic Post-buckling Analysis of Spatial Framed Structures using Improved Plastic Hinge Theory (개선된 소성힌지이론을 이용한 공간 뼈대구조물의 탄-소성 후좌굴 해석)

  • Kim, Sung Bo;Ji, Tae Sug;Jung, Kyoung Hwan
    • Journal of Korean Society of Steel Construction
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    • v.18 no.6
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    • pp.687-696
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    • 2006
  • An efficient numerical method is developed to estimate the elasto-plastic post-buckling strength of space-framed structures. The inelastic ultimate strength of beam-columns and frames is evaluated by the parametric study. Applying the improved plastic hinge analysis that evaluate the gradual stiffness decrease effects due to spread of plasticity, elasto-plastic post-buckling behavior of steel frames is investigated considering the various residual stress distributions. Introducing the plastification parameter that represent pread of plasticity in the element and performing parametric study of equivalent element force and member idealization, finite-element solutions for the elasto-plastic analysis of space frames are compared with the results by plastic region analysis, shell elements and experimental results.

A Study on the Fatigue Line with Plastic Rotaional Angle for Steel Structure of the Beam-to-Column Joints (기둥-보 연결 강구조물의 소성회전각에 의한 피로곡선 연구)

  • Kong, Byung Seung
    • Journal of Korean Society of Steel Construction
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    • v.10 no.2 s.35
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    • pp.221-232
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    • 1998
  • This study presents a fatigue line with a plastic rotational angle to a great extent of plastic strain of Low-Cycle-Fatigue period, such as earthquake, etc. This fatigue line with a plastic rotational angle is measured and analysed more simply in practice rather than Woehler's fatigue line which is developed in stress variation of the structure. It shows that the slope of fatigue line with a plastic rotational angle is equal to that with plastic strain through the experiments by proving the correlation that the plastic strain ratio is directly proportional to the plastic rotational angle in plastic hinge. The theory is induced by Manson and Coffin strain fatigue line, and the experiments are tested by ECCS. The location of the plastic hinge is achieved and accurate plastic strain ratio is calculated through FEM.

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Strength Estimation of Die Cast Beams Considering Equivalent Porous Defects (다이캐스팅 보의 등가 기공결함을 고려한 강도평가)

  • Park, Moon Shik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.5
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    • pp.337-343
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    • 2017
  • As a shop practice, a strength estimation method for die cast parts is suggested, in which various defects such as pores can be allowed. The equivalent porosity is evaluated by combining the stiffness data from a simple elastic test at the part level during the shop practice and the theoretical stiffness data, which are defect free. A porosity equation is derived from Eshelby's inclusion theory. Then, using the Mori-Tanaka method, the porosity value is used to draw a stress-strain curve for the porous material. In this paper, the Hollomon equation is used to capture the strain hardening effect. This stress-strain curve can be used to estimate the strength of a die cast part with porous defects. An elastoplastic theoretical solution is derived for the three-point bending of a die cast beam by using the plastic hinge method as a reference solution for a part with porous defects.

Evaluation of Ultimate Stress of Unbonded Tendon in Prestressed Concrete Members (II) -Proposed Design Equation using Strain Compatibility (프리트레스트 콘크리트 부재에서 비 부착 긴장재의 극한응력 평가에 관한 연구(II))

  • 임재형;문정호;음성우;이리형
    • Magazine of the Korea Concrete Institute
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    • v.9 no.5
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    • pp.105-114
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    • 1997
  • 본 연구는 비부착 긴장재를 갖는 부재에 대한 일련의 연구중 두 번째에 해당한다. 첫 번째 연구(1)에서는 기존연구의 제안식과 현행의 ACI 규준의 문제점을 고찰하고 기존의 총 167개 실험결과와 비교·분석하였다. 본 연구에서는 소성힌지 길이 개념과 변형도 적합조건에 의해서 비부착 긴장재의 응력을 평가할 수 있는 방법에 대한 검토를 통하여, 새로운 설계식을 제안하였다. 이는 이론적인 분석에 의한 변수설정과 기존 실험결과를 이용한 중회귀분석법을 사용하였다. 그리고 제안된 설계식을 기존의 식들과 비교하여 좋은 결과를 얻었으며, 제안된 설계식의 특성을 다음과 같이 설명하였다. (1)비부착 긴장재의 응력산정시 유효프리스트레스, 일반철근의 양, 작용하중의 형태 등은 중요한 변수로 작용할 수 있으므로 설계식에 고려하는 것이 바람직하다. (2)비부착 긴장재의 응력산정식은 현행 ACI 규준식과는 다르게 fc'/ p항의 제곱근과 비례하는 함수관계에 있다. (3)스팬-춤비가 비부착 긴장재의 응력에 미치는 영향은 소성힌지 길이의 개념에 의해서 역학적으로 타당하게 설명할 수 ldT다.

Derivation of Estimating Formulas for Seismic Strength of RC Frames Designed to Gravity Loads (중력하중에 대하여 설계된 RC 골조의 내진 저항력 추정식의 유도)

  • 이영욱
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.3
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    • pp.63-71
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    • 2002
  • The seismic design regulations have not been applied to the low-rised buildings which are less than 6 stories in Korea. For these buildings which are designed only for gravity loads, theoretical formulas which can estimate the seismic strength of building are derived. The column hinge sway and beam hinge sway mechanism are assumed for the formulars. For the comparisons with the formulas, the results of push-over analyses of 3 and 4 storied buildings are used. It can be shown that the estimating formulas correspond well with the push-over analyses. And the seismic strength of building has a little relations with the number of bay and becomes larger as the building becomes lower. Also, as the ratio and strength of reinforcing steel increase, the seismic strength of building is increased.

Dynamic Analysis of Steel Jackets under Wave and Earthquake Loadings I : Linear and Non-linear F. E. Formulation (파랑 및 지진하중을 받는 스틸자켓의 동적해석 I : 선형 및 비선형 유한요소 정식화)

  • 김문영;백인열;고진석
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.5
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    • pp.1-11
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    • 2001
  • The purpose of this study is to develop the main program and pre/post processor for the geometric and plastic non-linear analysis of steel jacket structures subjected to wave and earthquake loadings. In this paper, steel jackets are modelled using geometric non-linear space frames and wave loadings re evaluated based on Morrison equation using the linear Airy theory and the fifth Stokes theory. Random wave is generated using JONSWAP spectrum. For earthquake analysis, dynamic analysis is performed using artificial earthquake time history. Also the plastic hinge method is presented for limit analysis of steel jacket. In the companion paper, the pre/post processor is developed and the numerical examples are presented for linear and non-linear dynamic analysis of steel jackets.

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The energy absorption behavior of square tube by F.E.M (유한요소법에 의한 사각형 튜브의 충돌에너지 흡수거동 II)

  • 강대민;윤명균;황종관
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.04a
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    • pp.181-188
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    • 2000
  • This paper describes the energy absorption of a square tube under axi compression by using the finite element method. The overall deformations and lo buckling modes of tube was discussed by "plastic hinge concep Force-displacement function was plotted to show various state that depended or time. Also, mean crush load was expressed as a type of section geometry a material property using dimensional analysis. To verify the energy absorption and the effects of dimensions, The standards Wt used as related density and specific energy, mean crushing load and the resL were discussed by the relation between crush load and deformation, the relati between related density and specific energy, the relation between crush load a mean crush load, the relation between mean crush load and specific energy.ergy.

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Elasto-Plastic F.E. Analysis of Plane Framed Structures including Large Deformation Effects (대변형(大變形) 효과(效果)를 고려(考慮)한 평면(平面)뼈대 구조물(構造物)의 탄(彈)-소성(塑性) 유한요소해석(有限要素解析))

  • Kim, Moon Young;Yoo, Soon Jae;Lee, Myeong Jae
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.1
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    • pp.105-117
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    • 1994
  • A finite element procedure which can trace plastic collapse behavior of plane frame structures under small and large deformation is presented. The member is assumed to be prismatic and straight, and has the rectangular or I cross section. For the elasto-plastic analysis, the concept of plastic hinge is introduced and the incremental displacement method is applied. The limit state condition of the plastic hinge is considered under the combined condition of a bending moment and an axial force. Numerical examples are presented in order to demonstrate the validity and efficiency of the proposed procedure.

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Earthquake Response Analysis of a RC Bridge Including the Effect of Repair/retrofitting (보수/보강 효과를 고려한 철근콘크리트교량의 내진응답해석)

  • Lee, Do Hyung;Cho, Kyu Sang;Jeon, Jeong Moon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4A
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    • pp.611-622
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    • 2008
  • Nonlinear analyses have been carried out for both bridge piers and a bridge structure being repaired using a repair element in order to assess the post-repair seismic response of such structures. For this purpose, a simplified CFRP stress-strain model has been proposed. The analytical predictions incorporating the current developments correlate reasonably well with experimental results in terms of strength and stiffness. In addition, nonlinear dynamaic analyses have also been conducted for a bridge structure in terms of the created multiple earthquake sets to evaluate the effect of pier repair on the response of a whole bridge structure. In these analyses, potential plastic hinge zones of piers are virtually repaired by CFRP and steel jacketing. Comparative results prove the virtual necessity of performing nonlinear post-repair analyses under multiple earthquakes, particularly when the post-repair response features are required. In all, the present approaches are expected to provide salient information regarding a healthy seismic repair intervention of a damaged strcuture.