• 제목/요약/키워드: Nonlinear Finite Element Method

검색결과 1,294건 처리시간 0.031초

비선형 유한요소해석을 이용한 철근콘크리트 교각의 내진성능평가 (Seismic Performance Assessment of Reinforced Concrete Bridge Columns using Nonlinear Finite Element Analysis)

  • 김태훈;신현목
    • 한국지진공학회논문집
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    • 제10권3호
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    • pp.21-33
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    • 2006
  • 이 연구의 목적은 비선형 유한요소해석을 이용하여 철근콘크리트 교각의 내진성능을 평가하는데 있다. 정확하고 올바른 성능평가를 위하여 신뢰성 있는 비선형 유한요소해석 프로그램을 사용하였다. 사용된 프로그램은 철근콘크리트 구조물의 해석을 위한 RCAHEST이다. 손상지수는 지진하중하의 철근콘크리트 교각의 손상을 수치적으로 정량화하는 방법으로서 제안되었다. 이 연구에서는 철근콘트리트 교각의 내진성능평가를 위해 제안한 해석기법을 신뢰성 있는 연구자들의 실험결과와 비교하여 그 타당성을 검증하였다.

Arc-length and explicit methods for static analysis of prestressed concrete members

  • Mercan, Bulent;Stolarski, Henryk K.;Schultz, Arturo E.
    • Computers and Concrete
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    • 제18권1호
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    • pp.17-37
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    • 2016
  • This paper compares the arc-length and explicit dynamic solution methods for nonlinear finite element analysis of prestressed concrete members subjected to monotonically increasing loads. The investigations have been conducted using an L-shaped, prestressed concrete spandrel beam, selected as a highly nonlinear problem from the literature to give insight into the advantages and disadvantages of these two solution methods. Convergence problems, computational effort, and quality of the results were investigated using the commercial finite element package ABAQUS. The work in this paper demonstrates that a static analysis procedure, based on the arc-length method, provides more accurate results if it is able to converge on the solution. However, it experiences convergence problems depending upon the choice of mesh configuration and the selection of concrete post-cracking response parameters. The explicit dynamic solution procedure appears to be more robust than the arc-length method in the sense that it provides acceptable solutions in cases when the arc-length approach fails, however solution accuracy may be slightly lower and computational effort may be significantly larger. Furthermore, prestressing forces must be introduced into the finite element model in different ways for the explicit dynamic and arc-length solution procedures.

비선형 비압축성 물질의 해석을 위한 3차원 Smoothed FEM (A Study on 3D Smoothed Finite Element Method for the Analysis of Nonlinear Nearly-incompressible Materials)

  • 이창계;이정재
    • 대한건축학회논문집:구조계
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    • 제35권9호
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    • pp.159-169
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    • 2019
  • This work presents the three-dimensional extended strain smoothing approach in the framework of finite element method, so-called smoothed finite element method (S-FEM) for quasi-incompressible hyperelastic materials undergoing the large deformations. The proposed method is known that the incompressible limits, such as over-estimation of stiffness and distorted mesh sensitivity, can be overcome in two dimensions. Therefore, in this paper, the idea of Cell-based, Edge-based and Node-based strain smoothing approaches is extended to three-dimensions. The construction of subcells and smoothing domains for each methods are explained. The smoothed strain-displacement matrix and the stiffness matrix are obtained on each smoothing domain in the same manner with two-dimensional S-FEM. Various numerical tests are studied to demonstrate the validity and accuracy of 3D-S-FEM. The obtained results are compared with analytical solutions to express the efficacy of the methods.

한국형 원전 격납건물의 비선형해석에 관한 연구 (A Study on the Nonlinear Analysis of Containment Building in Korea Standard Nuclear Power Plant)

  • 이홍표;전영선;이상진
    • 한국전산구조공학회논문집
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    • 제20권3호
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    • pp.353-364
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    • 2007
  • 이 논문에서는 원전 격납건물의 극한내압능력 및 파괴모드 평가를 위해 개발된 비선형 유한요소해석 프로그램 NUCAS 코드에 대하여 기술하였다. NUCAS는 미시적인 재료모델을 도입한 퇴화 쉘 요소와 탄소성 재료모델을 도입한 저차고체요소로 구성되어 있고, 퇴화 쉘 요소와 저차고체요소는 유한요소에서 발생할 수 있는 강성과대(overstiffness) 및 묶임현상(locking phenomenon)을 방지하기 위해서 각각 가변형도법(assumed strain method)과 개선된 가변형도법(enhanced assumed strain method)을 적용하였다. 개발된 NUCAS코드의 성능을 검증하기 위해서 다양한 철근콘크리트 구조물의 벤치마크 테스트를 수행하였고, 그 결과로부터 이 논문에서 개발한 유한요소해석 프로그램의 해석결과는 실험결과와 잘 일치하였다.

Reliability analysis of reinforced concrete haunched beams shear capacity based on stochastic nonlinear FE analysis

  • Albegmprli, Hasan M.;Cevik, Abdulkadir;Gulsan, M. Eren;Kurtoglu, Ahmet Emin
    • Computers and Concrete
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    • 제15권2호
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    • pp.259-277
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    • 2015
  • The lack of experimental studies on the mechanical behavior of reinforced concrete (RC) haunched beams leads to difficulties in statistical and reliability analyses. This study performs stochastic and reliability analyses of the ultimate shear capacity of RC haunched beams based on nonlinear finite element analysis. The main aim of this study is to investigate the influence of uncertainty in material properties and geometry parameters on the mechanical performance and shear capacity of RC haunched beams. Firstly, 65 experimentally tested RC haunched beams and prismatic beams are analyzed via deterministic nonlinear finite element method by a special program (ATENA) to verify the efficiency of utilized numerical models, the shear capacity and the crack pattern. The accuracy of nonlinear finite element analyses is verified by comparing the results of nonlinear finite element and experiments and both results are found to be in a good agreement. Afterwards, stochastic analyses are performed for each beam where the RC material properties and geometry parameters are assigned to take probabilistic values using an advanced simulating procedure. As a result of stochastic analysis, statistical parameters are determined. The statistical parameters are obtained for resistance bias factor and the coefficient of variation which were found to be equal to 1.053 and 0.137 respectively. Finally, reliability analyses are accomplished using the limit state functions of ACI-318 and ASCE-7 depending on the calculated statistical parameters. The results show that the RC haunched beams have higher sensitivity and riskiness than the RC prismatic beams.

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

  • 조해성;주현식;이영헌;곽민철;신상준;여재익
    • 한국항공우주학회지
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    • 제44권9호
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    • pp.775-780
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    • 2016
  • 본 논문에서는 비선형 다물체 동역학 해석에 적용 가능한 구조해석을 개발하였다. 비선형 구조 해석을 위해 Co-rotational 이론 기반의 유한요소를 개발하였다. 그리고 국부 Lagrange 승수를 활용한 영역분할해석 기법을 적용하여 대용량/다물체 해석이 가능한 구조해석 알고리듬을 개발하였다. 기 개발한 구조 해석은 외팔보 및 다물체 구조에 대한 비선형 정적 해석 예제에 적용하였다. 병렬 계산에 따른 성능 평가는 희박행렬 계산 라이브러리인 PARDISO와 비교하였다. 이를 통해 기 개발 구조해석의 계산 속도 향상을 확인하였다.

면진설계된 KALIMER 원자로용기의 지진좌굴 특성평가 (Evaluation of Seismic Buckling Load for Seismically Isolated KALIMER Reactor Vessel)

  • 구경회
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 1999년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall
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    • pp.220-227
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    • 1999
  • The Purpose of this paper is to evaluate the buckling strength of conceptually designed KALIMER reactor vessel. For evaluation of the buckling load buckling load the design equations and the finite element analysis are used. In finite element method the eigenvalue buckling analysis nonlinear elastic buckling analysis using snap-through buckling method and nonlinear elastic-plastic buckling analysis are carried out. the calculated buckling loads of KALIMER reactor vessel using the finite element method are in well agreement with those of the design equations. From the calculated results of buckling load in KALIMER rector vessel it is shown that the plasticity of vessel materials significantly affects the buckling load but the initial imperfection has little effects, In checking the limits of bucking load of KALIMER reactor vessel using the ASME B & PV Section III. Subsection NH the non-seismic isolation design can not satisfy the buckling limit requirements but the seismic isolation design can sufficiently satisfy the requirements.

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A correction method for objective seismic damage index of reinforced concrete columns

  • Kang, Jun Won;Lee, Jeeho
    • Computers and Concrete
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    • 제21권6호
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    • pp.741-748
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    • 2018
  • In this paper, the sensitivity of a plastic-damage-based structural damage index on mesh density is studied. Multiple finite element meshes with increasing density are used to investigate their effect on the damage index values calculated from nonlinear finite element simulations for a reinforced concrete column subjected to cyclic loading. With the simulation results, this paper suggests a correction method for the objective damage index based on nonlinear regression of volumetric tensile damage ratio data. The modified damage index values are presented in the quasi-static cyclic simulation to show the efficacy of the suggested correction method.

비선형 지반-구조물 상호작용해석을 위한 새로운 복합법 (A New Hybrid Method for Nonlinear Soil-Structure Interaction Analysis)

  • 김재민;최준성;이종세
    • 한국지진공학회논문집
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    • 제7권6호
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    • pp.1-7
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    • 2003
  • 이 논문에서는 비선형 지반-구조물 상호작용해석을 위한 새로운 시간-주파수영역 복합법을 제시하였다. 제안한 방법은 등가선형 지반-구조물 상호작용해석 프로그램과 범용 비선형 유한요소해석 프로그램을 동시에 사용하는 실용적인 방법이다. 이 방법에서는 먼저 주파수영역에서 등가선형 지반-구조물 상호작용해석을 수행하여 유한요소 영역의 경계면에서 응답을 구한 다음, 이를 범용 비선형 유한요소해석 프로그램에 의한 비선형 동적해석의 시간의존 경계조건으로 입력한다. 제안된 방법의 검증을 위하여 2차원 지하철 정거장 구조물에 대한 지진해석을 수행하였다. 이를 위하여 등가선형 지반-구조물 상호작용해석 프로그램 KIESSI-2D와 비선형 유한요소해석 프로그램 ANSYS를 사용하였다 수치적인 해석결과로부터 이 연구에서 제안한 방법의 타당성을 확인할 수 있었다.

A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION

  • Ning, Yang;Sun, Mingzhe;Piao, Guangri
    • East Asian mathematical journal
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    • 제33권5호
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    • pp.495-509
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    • 2017
  • With the accuracy of the nonlinearity guaranteed, plenty of time and large memory space are needed when we solve the finite element numerical solution of nonlinear partial differential equations. In this paper, we use the Group Element Method (GEM) to deal with the non-linearity of the BBM-Burgers Equation with Conservation form and perform a numerical analysis for two particular initial-boundary value (the Dirichlet boundary conditions and Neumann-Dirichlet boundary conditions) problems with the Finite Element Method (FEM). Some numerical experiments are performed to analyze the error between the exact solution and the FEM solution in MATLAB.