• 제목/요약/키워드: 비선형 구조해석

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Probabilistic Nonlinear Analysis of Semi-Rigid Frames Considering Random Elastic Modulus (탄성계수 불확실성을 고려한 반강접 프레임 구조의 확률적 비선형 거동 해석)

  • Kim, Dae Young;Noh, Hyuk Chun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • 제26권3호
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    • pp.191-198
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    • 2013
  • In this paper, the effects of uncertain material constant on the nonlinear behavior of steel frames with semi-rigid joints are examined. As to the probabilistic model, a normal distribution is assumed to simulate the uncertain elastic modulus of steel material. A nonlinear structural analysis program, which can consider both semi-rigidity in joints of the steel frames and uncertainty in the material constant, is developed. Including the geometric, material and connection nonlinearites which are the parameters of nonlinear behavior of steel frames, probabilistic analysis is conducted based on the Monte-Carlo simulation. In the probabilistic analyses, we consider the three different cases for random variables. The deterministic analysis results are shown to be in good agreement with those of the previous research results in the literature. As to the probabilistic analyses, it is observed that the coefficient of variation(COV) of displacements increases as the loading increases, and that the values of COV are dependent on the structural features of the frames.

Large Deformation and Inelastic Analysis of API X80 Steel (API X80 강의 대변형 비선형 해석)

  • Lee, Seung-Jung;Yoon, Young-Cheol;Zi, Goang-Seup;Cho, Woo-Yeon;Yu, Seong-Mun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 한국전산구조공학회 2009년도 정기 학술대회
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    • pp.375-378
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    • 2009
  • 본 논문에서는 API X80 강의 대변형 비선형 거동을 모사하기 위해 비선형 유한요소해석을 수행하였다. 고강도 강재의 거동을 모사하기 위해 GTN(Gurson-Tvergaad-Needleman) 모델을 사용하였으며, 비선형 해석을 위해 범용 유한요소해석 프로그램인 ABAQUS와 User Subroutine의 사용자 재료모델(UMAT)을 연계하여 사용하였다. 해석결과와 인장실험의 결과와의 비교를 통해 GTN 모델에서 사용되는 재료모델 상수를 도출하였고, 도출된 값들은 개발된 사용자 재료모델과 함께 API X80 강의 각종 실험을 모사하고 대변형 상황의 강재 파이프의 거동을 분석하는데 유용하게 사용될 수 있다.

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Computational Algorithm for Nonlinear Large-scale/Multibody Structural Analysis Based on Co-rotational Formulation with FETI-local Method (Co-rotational 비선형 정식화 및 FETI-local 기법을 결합한 비선형 대용량/다물체 구조 해석 알고리듬 개발)

  • Cho, Haeseong;Joo, HyunShig;Lee, Younghun;Gwak, Min-cheol;Shin, SangJoon;Yoh, Jack J.
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • 제44권9호
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    • pp.775-780
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    • 2016
  • In this paper, a computational algorithm of an improved and versatile structural analysis applicable for large-size flexible nonlinear structures is developed. In more detail, nonlinear finite element based on the co-rotational (CR) framework is developed. Then, a finite element tearing and interconnecting method using local Lagrange multipliers (FETI-local) is combined with the nonlinear CR finite element. The resulting computational algorithm is presented and applied for nonlinear static analyses, i.e., cantilevered beam and multibody structure. Finally, the proposed analysis is evaluated with regard to its parallel computation performance, and it is compared with those obtained by serial computation using the sparse matrix linear solver, PARDISO.

A Study on the Nonlinear Stress-Deformation Analysis and Design of Unity-typed Pneumatic Structures Under the Design Load (단일공기막 구조물의 설계하중에 따른 비선형 응력-변형 해석 및 설계에 관한 연구)

  • Shon, Su-Deok;Jeong, Eul-Seok;Kim, Seung-Deog
    • Journal of Korean Association for Spatial Structures
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    • 제5권2호
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    • pp.47-55
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    • 2005
  • The method to form the space of the pneumatic structures by internal pressure is classified greatly as the dual type with the nlty type. The shape of the pneumatic structures consists of the curved surface under uniform tension not greatly to be deformed by the design load and stress must not be concentrated also. Therefore, In this study, we have done the structural analysis of the unity typed pneumatic structures by the NASS which is the program for nonlinear analysis. The analytic model is a rectangular pneumatic membrane structures which have four side fixed edges. And we have done the nonlinear incremental analysis considering the orthotropic material.

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Nonlinear Analysis of Steel-concrete Composite Girder Using Interface Element (경계면 요소를 사용한 강·콘크리트 혼합 거더의 비선형 거동 해석)

  • Kwon, Hee-Jung;Kim, Moon Kyum;Cho, Kyung Hwan;Won, Jong Hwa
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제29권4A호
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    • pp.281-290
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    • 2009
  • In this study, an analysis technique of hybrid girder considering nonlinearity of steel-concrete contact surface is presented. Steel-concrete hybrid girder shows partial-interaction behavior due to the deformation of shear connectors, slip and detachment at the interface, and cracks under the applied loads. Therefore, the partial-interaction approach becomes more reasonable. Contact surface is modeled by interface element and analyzed nonlinearly because of cost of time and effort to detailed model and analysis. Steel and Concrete are modeled considering non-linearity of materials. Material property of contact surface is obtained from push-out test and input to interface element. For the constitutive models, Drucker-Prager and smeared cracking model are used for concrete in compression and tension, respectively, and a von-Mises model is used for steel. This analysis technique is verified by comparing it with test results. Using verified analysis technique, various analyses are performed with different parameters such as nonlinear material property of interface element and prestress. The results are compared with linear analysis result and analysis result with the assumption of full-interaction.

Inelastic Nonlinear Analysis of Arch Truss and Space Truss Structures (아치 트러스 및 공간 트러스 구조의 비탄성 비선형 거동해석)

  • Kim, Kwang-Joong;Jung, Mi-Roo;Kim, Yeon-Tae;Baek, Ki-Youl;Lee, Jae-Hong
    • Journal of Korean Association for Spatial Structures
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    • 제8권5호
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    • pp.47-58
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    • 2008
  • Spatial structure is an appropriate shape that resists external force only with in-plane force by reducing the influence of bending moment, and it maximizes the effectiveness of structural system. With this character of the spatial structure, generally long span is used. As a result, large deflection is accompanied from the general frame. the structure is apt to result in a large deflection even though this structure experiences a small displacement in absence. Usually, nonlinear analysis in numerical analysis means geometric nonlinearity and material nonlinearity and complex nonlinearity analysis considers both of them. In this study, nonlinear equation of equilibrium considering geometric nonlinearity as per finite element method was applied and also considered the material nonlinearity using the relation of stress-strain in element. It is applied to find unstable result for tracing load-deflection curve in the numerical analysis tech. especially Arc-length method, and result of the analysis was studied by ABAQUS a general purpose of the finite element program. It is found that the present analysis predicts accurate nonlinear behavior of plane and space truss.

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Horizontal Elastic Response of a Structure to Bedrock Earthquake with the Nonlinear Soil Layer (비선형 지반을 고려한 암반지진에 의한 구조물의 수평방향 탄성거동)

  • 김용석
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 한국지진공학회 2002년도 춘계 학술발표회 논문집
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    • pp.83-92
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    • 2002
  • 지반조건은 구조물의 지진거동에 매우 큰 영향을 미치고 성능에 기준한 내진설계에 중요한 요소이다. 이 논문에서는 지진에 의한 지반의 비선형성을 포함한 지반의 비선형성이 구조물의 탄성지진거동에 미치는 영향을 지반 구조물 일괄해석 유한요소법과 지반의 비선형성을 구현하기 위해 Ramberg-Osgood 토질모델에 대한 근사 선형 반복해석 법으로 연구하였다. 연구는 말뚝기초의 유무를 고려한 주기가 변하는 선형 단자유도계에 지표에서 기록된 1940년 El Centro 지진을 적용하여 수행하였다. 연구결과에 의하면 연약지반의 비선형 특성 영향이 구조물의 탄성 지진거동에 매우 중요하고, 성능에 기준한 지반의 비선형성을 고려한 구조물의 내진설계가 필요하다는 것을 잘 보여주고 있다.

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Modified Arc-Length Method of Riks (Riks Method를 이용한 비선형 수치해석)

  • jae-Wook Lee;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • 제28권1호
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    • pp.182-188
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    • 1991
  • The modified arc-length algorithms for the automatic incremental solution of nonlinear finite element equations proposed by Riks are presented, which comprise the cylindrical arc-length method and the normal arc-length method. These methods are developed to trace the nonlinear path of large displacement problems such as a pre and post bucking/collapse response of general structures. These methods are applied to analyse the nonlinear behavior of arch and shell problems in parallel with the standard and modified Newton-Raphson method.

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Modified Earthquake resistant design for a concrete bridge in the Low to moderated seismic Region (중약진지역에 위치한 콘크리트교량의 수정내진 설계)

  • 국승규
    • Journal of the Earthquake Engineering Society of Korea
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    • 제4권3호
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    • pp.11-21
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    • 2000
  • 구조물에 내진설계를 적용하는 목적은 지진에 노출되는 구조물에 안전성과 경제성을 고려한 파괴메카니즘을 부여하는 것이다. 내진설계에 보편적으로 적용하고 있는 응답스펙트럼해석법은 선형해석법으로 구조물의 비선형 동적거동에 의한 영향은 특정 계수로 반영한다. 그러나 기존의 내진설계시방서들이 강진지역에 있는 나라들에 의해 제정 및 개정되어 왔기 때문에 응답스펙트럼 해석법 뿐만 아니라 기타의 적용규정이 강진지역에 위치한 구조물의 상황만을 고려하여 제시되었다. 따라서 중약진지역에 위치한 구조물의 내진설계에 대한 별도의 연구가 요구되고 있다. 이 연구에서는 중약진지역에 위치한 콘크리트 교량을 선정하여 비선형 동적거동을 반영하는 계수를 결정하고 응답스펙트럼 해석법을 적용하였다. 연구 결과 바탕으로 중약진지역의 교량에 대해 내진설계의 목적을 만족하는 개선된 내진설계 절차를 제시하였다.

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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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    • 제28권5호
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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.