• 제목/요약/키워드: Implicit FEM

검색결과 44건 처리시간 0.023초

Modelling headed stud shear connectors of steel-concrete pushout tests with PCHCS and concrete topping

  • Lucas Mognon Santiago Prates;Felipe Piana Vendramell Ferreira;Alexandre Rossi;Carlos Humberto Martins
    • Steel and Composite Structures
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    • 제46권4호
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    • pp.451-469
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    • 2023
  • The use of precast hollow-core slabs (PCHCS) in civil construction has been increasing due to the speed of execution and reduction in the weight of flooring systems. However, in the literature there are no studies that present a finite element model (FEM) to predict the load-slip relationship behavior of pushout tests, considering headed stud shear connector and PCHCS placed at the upper flange of the downstand steel profile. Thus, the present paper aims to develop a FEM, which is based on tests to fill this gap. For this task, geometrical non-linear analyses are carried out in the ABAQUS software. The FEM is calibrated by sensitivity analyses, considering different types of analysis, the friction coefficient at the steel-concrete interface, as well as the constitutive model of the headed stud shear connector. Subsequently, a parametric study is performed to assess the influence of the number of connector lines, type of filling and height of the PCHCS. The results are compared with analytical models that predict the headed stud resistance. In total, 158 finite element models are processed. It was concluded that the dynamic implicit analysis (quasi-static) showed better convergence of the equilibrium trajectory when compared to the static analysis, such as arc-length method. The friction coefficient value of 0.5 was indicated to predict the load-slip relationship behavior of all models investigated. The headed stud shear connector rupture was verified for the constitutive model capable of representing the fracture in the stress-strain relationship. Regarding the number of connector lines, there was an average increase of 108% in the resistance of the structure for models with two lines of connectors compared to the use of only one. The type of filling of the hollow core slab that presented the best results was the partial filling. Finally, the greater the height of the PCHCS, the greater the resistance of the headed stud.

크리깅 메타모델에 의한 철도차량 현수장치 최적설계 (Optimization of a Train Suspension using Kriging Meta-model)

  • 이광기;이태희;박찬경
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집C
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    • pp.339-344
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    • 2001
  • In recent engineering, the designer has become more and more dependent on the computer simulations such as FEM (Finite Element Method) and BEM (Boundary Element Method). In order to optimize such implicit models more efficiently and reliably, the meta-modeling technique has been developed for solving such a complex problems combined with the DACE (Design and Analysis of Computer Experiments). It is widely used for exploring the engineer's design space and for building meta-models in order to facilitate an effective solution of multi-objective and multi-disciplinary optimization problems. Optimization of a train suspension is performed according to the minimization of forty-six responses that represent ten ride comforts, twelve derailment quotients, twelve unloading ratios, and twelve stabilities by using the Kriging meta-model of a train suspension. After each Kriging meta-model is constructed, multi-objective optimal solutions are achieved by using a nonlinear programming method called SQP (Sequential Quadratic Programming).

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평면 이방성 박판 딥드로잉 공정의 귀발생 예측 (Earing Predictions in the Deep-Drawing Process of Planar Anisotropic Sheet-Metal)

  • 이승열;금영탁;정관수;박진무
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1994년도 춘계학술대회 논문집
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    • pp.118-128
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    • 1994
  • The planar anisotropic FEM analysis for predicting the earing profiles and draw-in amounts in the deep-drawing processes is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-based unit vectors and the normal contact pressure. the consistent full set of governing relations, comprising equilibrium and geometric constraint equations, is appropriately linearized. Barlat's strain-rate potential is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and potential parameter. The linear triangular membrane elements are used for depicting the formed sheet. with the numerical simulations of deep drawing processes of flat-top cylindrical cup for the 2090-T3 aluminum effects on the earing behavior are examined. Earing predictions made for the 2090-T3 aluminum alloy sheet show good agreement with experiments, although some discrepancies were observed in the directional trend of cup height and thickness strains.

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축대칭 박판 액압 성형 공정의 유한요소 시뮬레이션 (Finite Element Simulation of Axisymmetric Sheet Hydroforming Processes)

  • 구본영;김용석;금영탁
    • 소성∙가공
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    • 제9권6호
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    • pp.590-597
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    • 2000
  • A finite element formulation lot the simulation of axisymmetric sheet hydroforming is proposed, and an implicit program is coded. In order to describe normal anisotropy of steel sheet, Hill's non-quadratic yield function (Hill, 1979) is employed. Frictional contacts among sheet surface, rigid tool surface, and flexible hydrostatic pressure are considered using mesh normal vectors based on finite element of the sheet. Applied hydraulic pressure is also considered as a function of forming rate and time and treated as an external loading. The complete set of the governing relations comprising equilibrium and interfacial equations is approximately linearized for Newton-Raphson algorithm. In order to verify the validity of the developed finite element formulation, the axisymmetric bulge test is simulated. Simulation results are compared with other FEM results and experimental measurements and showed good agreements. In axisymmetric hydroforming processes of a disk cover, formability changes are observed according to the hydraulic pressure curve changes.

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박판성형을 위한 탄성복원해석의 수치적 모사 (A Numerical Simulation of Springback Analysis for Sheet Metal Forming)

  • 김충식;정완진
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 제2회 박판성형심포지엄 논문집 박판성형기술의 현재와 미래
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    • pp.9-16
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    • 1998
  • New program for springback analysis has been developed to predict the deformation of springback more accurately. Static implicit FEM is used to find out the static equilibrium after springback. The shell element with 6 dogrees of freedom and 4 nodes is carefully implemented to improve the accuracy and the compatibility between forming analysis and springback analysis. Co-rotational approach and Newton-Raphson nonlinear iteration are used to resolve the nonlinearity of large deformation. The benchmark results show that the developed program gives good predictions in comparison with experimental and other commercial S/W's results. As practical examples, U draw bending and S-rail problems are carried out by the developed program.

계단형 불연속 지형에 대한 불연속 갤러킨 음해법의 적용 (Application of Implicit Discontinuous Galerkin Method to Step-Type Discontinuous Bathymetry)

  • 이해균;이남주
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2021년도 학술발표회
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    • pp.253-253
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    • 2021
  • 천수방정식에 대한 불연속 갤러킨 기법 (DG) 모형은 주로 양해법 기반으로 개발되어 적용되어 왔으나, 바닥마찰항의 처리, 과도한 CFL 조건 등의 불리한 점이 지적되어 왔으며, 이로 인하여 실제 적용에서 FDM, FEM 등 다른 고전적인 수치기법과 비교하여 경쟁력을 갖기 어려웠다. 이에 대한 대안으로써, 최근, 불연속 갤러킨 기법에 대한 음해법 기반의 모형이 연구되고 있으며, 다소 복잡한 알고리즘에도 불구하고 적용이 확대되고 있다. 또한, 널리 알려진 바와 같이, 천수방정식의 실제 하도에 대한 적용에 있어 문제점 중 하나는 나비에-스토크스 방정식으로부터 유도할 때 사용된 정수압 가정으로 인하여, 하도의 계단과 같은 불연속 지형에 적용이 용이하지 않다는 것이다. 본 연구에서는 기존에 개발된 불연속 갤러킨 음해법에 불연속 지형의 해석을 위한 표면경사법(surface gradient method)을 결합하여 이러한 문제에 효과적으로 대응할 수 있는 기법을 제시하였다. 개발된 모형의 검증을 위하여, 제방 등 하도 구조물 위의 장주기 조석흐름, 홍수파, 계단 등을 포함하는 댐 붕괴류 모의에 적용하고 실용적인 기능성을 검증하였다. 향후 구조물이 많은 국내 하천에 적용이 가능할 것으로 사료된다.

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A smooth boundary scheme-based topology optimization for functionally graded structures with discontinuities

  • Thanh T. Banh;Luu G. Nam;Dongkyu Lee
    • Steel and Composite Structures
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    • 제48권1호
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    • pp.73-88
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    • 2023
  • This paper presents a novel implicit level set method for topology optimization of functionally graded (FG) structures with pre-existing discontinuities (pre-cracks) using radial basis functions (RBF). The mathematical formulation of the optimization problem is developed by incorporating RBF-based nodal densities as design variables and minimizing compliance as the objective function. To accurately capture crack-tip behavior, crack-tip enrichment functions are introduced, and an eXtended Finite Element Method (X-FEM) is employed for analyzing the mechanical response of FG structures with strong discontinuities. The enforcement of boundary conditions is achieved using the Hamilton-Jacobi method. The study provides detailed mathematical expressions for topology optimization of systems with defects using FG materials. Numerical examples are presented to demonstrate the efficiency and reliability of the proposed methodology.

유한요소법을 이용한 천수방정식의 수치실험 (Numerical Experiments of Shallow Water Eqs. by FEM)

  • 최성욱;이길성
    • 대한토목학회논문집
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    • 제10권4호
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    • pp.141-150
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    • 1990
  • 하구나 연안에서 해수의 순환형상을 모사(模寫)하게 위해 천수방정식(淺水方程式)을 여러 가지 경계조건 하에서 수치해석하였다. 공간영역은 Galerkin방법으로 이산화(離散化)하였으며 시간영역에 대해서는 유한차분법(Crank-Nicolson방법)을 사용하였다. 네 가지 검정실험이 해석적인 해가 있는 일차원 수로에서 행하여졌으며, 해석해를 구할 수 없는 이차원 모형에도 적용되었다. 해석해가 있는 경우 수치모사 결과가 이와 잘 일치하였으며, 이차원 모형에서의 결과도 매우 합당함을 알 수 있었다. 또 일차원 문제에서 4점 bilinear요소와 삼각형 요소를 사용한 결과를 각각 비교하였으며 시간적분도 2단계 Lax-Wendroff방법을 사용하여 결과를 비교하였다. 음해법을 사용할 경우 비교적 정확한 결과를 얻을 수 있으나 요소의 갯수가 많아지면 구성되는 대수방정식(代數方程式)이 커지기 때문에 각 시간마다의 계산량이 엄청나게 늘어나게 되며 양해법을 사용할 때는 원하는 만큼의 정확한 결과를 얻기 위하여 시간간격이나 공간격자 간격을 선정하는데 각별히 유의하여야 할 것이다.

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스프링백 특성에 영향을 미치는 수치변수의 분석을 위한 다구치 실험계획법의 응용 (Application of the Taguchi Method to the Analysis of the Numerical Parameters Influencing Springback Characteristics)

  • 김형종;전태보
    • 산업기술연구
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    • 제20권A호
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    • pp.211-218
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    • 2000
  • It is desirable but difficult to predict springback quantitatively and accurately for successful tool and process design in sheet stamping operations. The result of springback analysis by the finite element method (FEM) is sensitively influenced by numerical factors such as blank element size, number of integration points, punch velocity, contact algorithm, etc. In the present work, a parametric study by Taguchi method is performed in order to evaluate the influence of numerical factors on the result of springback analysis quantitatively and to obtain the combination of numerical factors which gives the best approximation to experimental data. Since springback is determined by the residual stress after forming process, it is important to evaluate stress distribution accurately. The oscillation in the time history curve of stress obtained by the dynamic-explicit finite element method says that the stress solution at termination time is in very unstable state. Therefore, a variability study is also carried out in this study in order to assess the stability of implicit springback analysis starting from the stress solution by explicit forming simulation. The U-draw bending process, one of the NUMISHEET '93 benchmark problems, is adopted as an application model because it is most popular one for evaluating the springback characteristic.

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Vlasov 보 모델을 이용한 컨테이너 선박의 스프링잉 응답해석 (Analysis of Linear Springing Responses of a Container Carrier by using Vlasov Beam Model)

  • 김유일;김용환
    • 대한조선학회논문집
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    • 제47권3호
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    • pp.306-320
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    • 2010
  • Modern ultra-large container carriers can be exposed to the unprecedented springing excitation from ocean waves due to their relatively low torsional rigidity. Large deck opening on the deck of container carriers tends to cause warping distortion of hull structure under wave-induced excitation, eventually leading to the higher chance of resonance vibration between its torsional response and incoming waves. To handle this problem, a higher-order B-spline Rankine panel method and Vlasov-beam FE model was directly coupled in the time domain, and the coupled equation was solved by using an implicit iterative method. In order to capture the complicated behavior of thin-walled open section girder, a sophisticated beam-based finite element model was developed, which takes into account warping distortion and shear-on-wall effect. Then, the developed beam model was directly coupled with the time-domain Rankine panel method for hydrodynamic problem by using the fixed-point iteration method. The developed computational scheme was validated through the comparison with the frequency-domain solution on the container carrier model in linear springing regime.