• 제목/요약/키워드: finite element methods

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유한요소와 경계요소를 결합한 지하공동의 변위해석 (A Combined Finite Element -Boundary Element Method of Underground Displacements Analysis)

  • 황창규;박성재
    • 한국지반공학회지:지반
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    • 제6권1호
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    • pp.25-34
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    • 1990
  • 지하공동의 해석에 관한 유한요소법과 경계요소법의 해법은 많은 연구가 되어있다. 지하공동과 같은 구조물의 안정성해석시, 대상의 영역이 무한영역중의 극히 작은 일부분일 경우가 많다. 이 경우 무한영역은 비정의영역이므로 유한요소의 이산화가 불가능하며, 영향범위를가정하여 정의령 역으로 변환하면, 유한요소해석중에 강성매트릭스가 커지게되어 컴퓨터의 용량 및 계산시간상의 문제점을 일으키게 된다. 경계요소법을 적용하면, 무한영역을 고려할 수 있으나, 재료의 특성을 고려하기는 어려움이 많다. 본 논문은 특정부분의 변위 및 응력을 상세히 알 수 있으며,재료의 가음을 고려한 프로그램을 이용할 수 있는 유한요소법의 장점과 무한영역을 쉽게 고려할 수 있는 경계요소법의 장점을 갖는 유한요소와 경계요소를 결합한 해석법으로 무한탄성지반중의 지하공동안정해석에 대한 수치해석치와 이론치를 비교하여 효용성을 검토하였다. 그 결과 엄밀해에 가까운 경계요소법보다는 정도가 떨어지나 유한요소법보다는 정도가 개선되었다.

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유한요소법을 이용한 압축력으로 인한 균열 표면의 마찰접촉 해석 (Frictional Contact Analysis of the compression-Induced Crack Surfaces using the Finite element Method)

  • 김방원;이기수
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 추계학술대회 논문집
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    • pp.517-522
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    • 2000
  • When a body including a crack inside is subjected to the compressive forces, the crack is closed and sliding occurs on the crack surfaces. In this work, a subsurface crack subjected to a static or moving compressive load is analyzed with the finite element method considering friction on the crack surface. The friction on the crack surface is assumed to follow the Coulomb friction law. A numerical method based on the finite element method and iterative method is applied in this work. And the result is compared with the frictional contact of crack by ANSYS using contact 12 element. The numerical results of two methods are compared with the wellknown analytical solutions, and the accuracy of iterative method is checked..

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Non-stochastic interval arithmetic-based finite element analysis for structural uncertainty response estimate

  • Lee, Dongkyu;Park, Sungsoo;Shin, Soomi
    • Structural Engineering and Mechanics
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    • 제29권5호
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    • pp.469-488
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    • 2008
  • Finite element methods have often been used for structural analyses of various mechanical problems. When finite element analyses are utilized to resolve mechanical systems, numerical uncertainties in the initial data such as structural parameters and loading conditions may result in uncertainties in the structural responses. Therefore the initial data have to be as accurate as possible in order to obtain reliable structural analysis results. The typical finite element method may not properly represent discrete systems when using uncertain data, since all input data of material properties and applied loads are defined by nominal values. An interval finite element analysis, which uses the interval arithmetic as introduced by Moore (1966) is proposed as a non-stochastic method in this study and serves a new numerical tool for evaluating the uncertainties of the initial data in structural analyses. According to this method, the element stiffness matrix includes interval terms of the lower and upper bounds of the structural parameters, and interval change functions are devised. Numerical uncertainties in the initial data are described as a tolerance error and tree graphs of uncertain data are constructed by numerical uncertainty combinations of each parameter. The structural responses calculated by all uncertainty cases can be easily estimated so that structural safety can be included in the design. Numerical applications of truss and frame structures demonstrate the efficiency of the present method with respect to numerical analyses of structural uncertainties.

유한요소기법을 이용한 동공해석과 공용수명 예측기법 연구 (A study on voided-area analysis and remaining life prediction using the finite element method for pavement structures)

  • 이준규;이상염;문성호
    • 한국도로학회논문집
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    • 제18권6호
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    • pp.131-136
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    • 2016
  • OBJECTIVES : The objective of this research is to determine the integrity of pavement structures for areas where voids exist. Furthermore, we conducted the study of voided-area analysis and remaining life prediction for pavement structures using finite element method. METHODS : To determine the remaining life of the existing voided areas under asphalt concrete pavements, field and falling weight deflectometer (FWD) tests were conducted. Comparison methods were used to have better accuracy in the finite element method (FEM) analysis compared to the measured surface displacements due to the loaded trucks. In addition, the modeled FEM used in this study was compared with well-known software programs. RESULTS : The results show that a good agreement on the analyzed and measured displacements can be obtained through comparisons of the surface displacement due to loaded trucks. Furthermore, the modeled FEM program was compared with the available pavement-structure software programs, resulting in the same values of tensile strains in terms of the thickness of asphalt concrete layers. CONCLUSIONS : The study, which is related to voided-area analysis and remaining life prediction using FEM for pavement structures, was successfully conducted based on the comparison between our methods and the sinkhole grade used in Japan.

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.

심층 신경망 기반 딥 드로잉 공정 블랭크 두께 변화율 예측 (Prediction of Blank Thickness Variation in a Deep Drawing Process Using Deep Neural Network)

  • 박근태;박지우;곽민준;강범수
    • 소성∙가공
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    • 제29권2호
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    • pp.89-96
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    • 2020
  • The finite element method has been widely applied in the sheet metal forming process. However, the finite element method is computationally expensive and time consuming. In order to tackle this problem, surrogate modeling methods have been proposed. An artificial neural network (ANN) is one such surrogate model and has been well studied over the past decades. However, when it comes to ANN with two or more layers, so called deep neural networks (DNN), there is distinct a lack of research. We chose to use DNNs our surrogate model to predict the behavior of sheet metal in the deep drawing process. Thickness variation is selected as an output of the DNN in order to evaluate workpiece feasibility. Input variables of the DNN are radius of die, die corner and blank holder force. Finite element analysis was conducted to obtain data for surrogate model construction and testing. Sampling points were determined by full factorial, latin hyper cube and monte carlo methods. We investigated the performance of the DNN according to its structure, number of nodes and number of layers, then it was compared with a radial basis function surrogate model using various sampling methods and numbers. The results show that our DNN could be used as an efficient surrogate model for the deep drawing process.

만곡 근관 형성시 니켈-티타늄 파일의 만곡 유지 능력과 그에 대한 유한요소법적 분석 (ABILITY OF NICKEL-TITANIUM FILES IN MAINTAINING THE ORIGINAL CURVATURE OF A CURVED ROOT CANAL AND ITS ANALYSIS BY FINITE ELEMENT METHODS)

  • 박한수;임성삼;배광식;윤수한
    • Restorative Dentistry and Endodontics
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    • 제22권1호
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    • pp.220-227
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    • 1997
  • The purpose of our study is to evaluate the ability of nickel-titanium(NiTi) files in maintaining the original curvature of a curved root canal during canal preparation. Curved canals on translucent resin blocks were prepared with NiTi and stainless steel files, and they were placed at the platform which can reproduce the same position. The unprepared and prepared canal forms were accurately compared by double exposure technique of photography. By finite element methods we also analyzed stress distributions of NiTi and stainless steel files in a curved canal. The results were as follows : 1. NiTi files were excellent in maintaining the original curvature of a curved canal than stainless steel files after canal preparation. 2. The results of canal preparation with these files were well verified by the analysis of stress distributions using finite element methods.

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Vibration based damage detection in a scaled reinforced concrete building by FE model updating

  • Turker, Temel;Bayraktar, Alemdar
    • Computers and Concrete
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    • 제14권1호
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    • pp.73-90
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    • 2014
  • The traditional destructive tests in damage detection require high cost, long consuming time, repairing of damaged members, etc. In addition to these, powerful equipments with advanced technology have motivated development of global vibration based damage detection methods. These methods base on observation of the changes in the structural dynamic properties and updating finite element models. The existence, location, severity and effect on the structural behavior of the damages can be identified by using these methods. The main idea in these methods is to minimize the differences between analytical and experimental natural frequencies. In this study, an application of damage detection using model updating method was presented on a one storey reinforced concrete (RC) building model. The model was designed to be 1/2 scale of a real building. The measurements on the model were performed by using ten uni-axial seismic accelerometers which were placed to the floor level. The presented damage identification procedure mainly consists of five steps: initial finite element modeling, testing of the undamaged model, finite element model calibration, testing of the damaged model, and damage detection with model updating. The elasticity modulus was selected as variable parameter for model calibration, while the inertia moment of section was selected for model updating. The first three modes were taken into consideration. The possible damaged members were estimated by considering the change ratio in the inertia moment. It was concluded that the finite element model calibration was required for structures to later evaluations such as damage, fatigue, etc. The presented model updating based procedure was very effective and useful for RC structures in the damage identification.

RECOVERY TYPE A POSTERIORI ERROR ESTIMATES IN FINITE ELEMENT METHODS

  • Zhang, Zhimin;Yan, Ningning
    • Journal of applied mathematics & informatics
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    • 제8권2호
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    • pp.327-343
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    • 2001
  • This is a survey article on finite element a posteriori error estimates with an emphasize on gradient recovery type error estimators. As an example, the error estimator based on the ZZ patch recovery technique will be discussed in some detail.

A MIXED FINITE ELEMENT METHOD FOR NAVIER-STOKES EQUATIONS

  • Elakkad, Abdeslam;Elkhalfi, Ahmed;Guessous, Najib
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1331-1345
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    • 2010
  • This paper describes a numerical solution of Navier-Stokes equations. It includes algorithms for discretization by finite element methods and a posteriori error estimation of the computed solutions. In order to evaluate the performance of the method, the numerical results are compared with some previously published works or with others coming from commercial code like ADINA system.