• Title/Summary/Keyword: 절점밀도

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3-D Topology Optimization by a Nodal Density Method Based on a SIMP Algorithm (SIMP 기반 절점밀도법에 의한 3 차원 위상최적화)

  • Kim, Cheol;Fang, Nan
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.412-417
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    • 2008
  • In a traditional topology optimization method, material properties are usually distributed by finite element density and visualized by a gray level image. The distribution method based on element density is adequate for a great mass of 2-D topology optimization problems. However, when it is used for 3-D topology optimization, it is always difficult to obtain a smooth model representation, and easily appears a virtualconnect phenomenon especially in a low-density domain. The 3-D structural topology optimization method has been developed using the node density instead of the element density that is based on SIMP (solid isotropic microstructure with penalization) algorithm. A computer code based on Matlab was written to validate the proposed method. When it was compared to the element density as design variable, this method could get a more uniform density distribution. To show the usefulness of this method, several typical examples of structure topology optimization are presented.

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Develpment of Automated Stress Intensity Factor Analysis System for Three-Dimensional Cracks (3차원 균열에 대한 자동화된 응력확대계수해석 시스템 개발)

  • 이준성
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.6
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    • pp.64-73
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    • 1997
  • 솔리드 모델러, 자동요소분할 기법, 4면체 특이요소, 응력확대계수의 해석 기능을 통합하여, 3차원 균열의 응력확대계수를 효율적으로 해석할 수 있는 시스템을 개발하였다. 균열을 포함하는 기하모델을 CAD 시스템을 이용하여 정의하고, 경계조건과 재료 물성치 및 절점밀도 분포를 기하모델에 직접 지정함으로써, 퍼지이론 에 의한 절점발생과 데로우니 삼각화법에 의한 요소가 자동으로 생성된다. 특히, 균열 근방에는 4면체 2차 특이요소를 생성시켰으며, 유한요소 해석을 위한 입력 데이터가 자동으로 작성되어 해석코드에 의한 응력 해석이 수행된다. 해석 후, 출력되는 변위를 이용하여 변위외삽법에 의한 응력확대계수가 자동적으로 계산되어 진다. 본 시스템의 효용성을 확인하기 위해, 인장력을 받는 평판내의 표면균열에 대해 해석하여 보았다.

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Boundary/Finite Element Analysis of the Seismic Wave Amplifications Due to Inhomogeneous Alluvial Deposits (비균질 퇴적층으로 인한 지진파 증폭의 경계/유한요소 해석)

  • 김효건;손영호;김종주;최광규
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.591-597
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    • 1999
  • 본 연구에서는 비 균질 퇴적층으로 인한 지진파의 증폭에 대한 경계/유한요소 해석을 수행하였다. 수치해석을 위해, 비 균질 퇴적층은 8절점 등 매개 변수 유한요소 사용하여 모델링하였고, 그 주위의 균질 반무한 지반은 3절점 등매개 변수 경계요소를 사용하여 모델링하였다. 경계요소와 유한요소의 접촉면에서, 표면 력의 평형조건과 변위의 적합 조건에 의해 두 개의 요소를 결합하는 알고리듬을 개발하였다. 수치해석의 영향인자로서 SH파, P파와 SV파의 입사각, 무 차원 진동수 그리고 반무한 지반과 퇴적층사이의 전단 파 속도 비와 질량밀도 비를 고려하였다.

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Automated Mesh Generation For Finite Element Analysis In Metal Forming (소성 가공의 유한 요소 해석을 위한 자동 요소망 생성)

  • 이상훈;오수익
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.10a
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    • pp.17-23
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    • 1997
  • In the two-dimensional Finite Element Method for forming simulation, mesh generation and remeshing process are very significant. In this paper, using the modified splitting mesh generation algorithm, we can overcome the limitation of existing techniques and acquire mesh, which has optimal mesh density. A modified splitting algorithm for automatically generating quadrilateral mesh within a complex domain is described. Unnecessary meshing process for density representation is removed. Especially, during the mesh generation with high gradient density like as shear band representation, the modified mesh density scheme, which will generate quadrilateral mesh with the minimized error, which takes effect on FEM solver, is introduced.

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Topology Optimization of Plane Structures under Free Vibration with Isogeometric Analysis (등기하해석법을 이용한 자유진동 평면구조물의 위상최적화)

  • Lee, Sang-Jin;Bae, Jungeun
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.34 no.6
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    • pp.11-18
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    • 2018
  • Isogeometric concept is introduced to find out the optimum layout of plane structure under free vibration. Eigenvalue problem is formulated and numerically solved in order to obtain natural frequencies and mode shapes of plane structures. For the exact geometric expression of the structure, the Non-Uniform Rational B-spline Surface (NURBS) basis functions is employed and it is also used to define the material density functions. A node-wise design variables is adopted to deal with the updating of material density in topology optimization (TO). The definition of modal strain energy is employed to achieve the maximization of fundamental frequency through its minimization. The verification of the proposed TO technique is performed by a series of benchmark test for plane structures.

Behavior of Back Ground of the Laterally Loaded Pile Group (수평하중이 작용하는 무리말뚝 배면지반의 저항거동 특성)

  • Kim, Ji-Seong;Bae, Jong-Soon
    • Journal of the Korean Geotechnical Society
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    • v.32 no.1
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    • pp.5-18
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    • 2016
  • In this study, we grasped the resistance state of the back ground which had a notable influence on computing the lateral resistance of the laterally loaded pile group in the homogeneous ground by the model test. Resistance state was grasped as the depth of rotation-point, wedge failure angle, and wedge wing angle. The model experiment is performed by varying the width, spacing and number of piles and the relative density of sand in this study. According to the observation of the rear ground surface deformation of the piles in lateral load, rotation point ratio, wedge failure angle, and wedge wing angle of the front row were similar to those of the middle row; however, those of the back row were relatively smaller. The rotation point ratio, wedge failure angle and wedge wing angle of the piles in parallel were the same as those of a single pile. Based on the model test results, equations for estimation of the rotation-point, wedge failure angle, and wedge wing angle are proposed.

Behavior of Back Ground of the Laterally Loaded Single Pile (수평하중이 작용하는 단독말뚝의 배면지반의 저항거동 특성)

  • Bae, Jong-Soon;Kim, Sung-Ho
    • Journal of the Korean Geotechnical Society
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    • v.24 no.8
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    • pp.53-60
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    • 2008
  • In this study, various kinds of behavior characteristics such as deformation area zone of back ground, failure angle and rotation point are examined on the laterally loaded single pile in the homogeneous ground through a model test. The main obtained conclusions are summarized as follows; In the back ground of single pile to which the lateral load is applied, failure surface shows almost linear movement characteristics and it is inclined to converge to constant values no matter how the length of pile and the pile head displacement.

A Geometrically Nonlinear Analysis for the Eccentric Degenerated Beam Element Considering Large Displacements and Large Rotations (대변위 밀 대회전을 고려한 편심된 격하 보요소의 기하학적 비선형해석)

  • Jae-Wook Lee;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.227-233
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    • 1992
  • To study the large displacement and large rotation problems, geometrically nonlinear formulation of eccentric degenerated beam element has been developed, where the restrictions of infinitesimal rotation increments are removed and the incremental equations are derived using the Taylor series expansion of the displacement function at time t+dt. The geometrically nonlinear analyses are carried out for the cases of cantilever, square frame, shallow arch and 45-degree bend beam and all of them are compared with each of the other results published. The element developed in the present research can be efficiently utilized for analysis of the nonlinear behaviours of structures when displacements and rotations are large.

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Behavior of Back Ground of the Laterally Loaded Single Pile (II) (수평하중이 작용하는 단독말뚝의 배면지반의 저항거동 특성(II))

  • Bae, Jong-Soon;Kim, Ji-Seong;Kim, Sung-Ho
    • Journal of the Korean Geotechnical Society
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    • v.25 no.11
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    • pp.61-73
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    • 2009
  • In this study, we grasped the resistance state of the back ground which had a notable influence on computing the lateral resistance of the laterally loaded single pile in the homogeneous ground by the model test. In order to grasp a resistance behavior, we have to know the deformation area of the back ground and the side failure angle other than the rotation point of pile and vertical failure angle of back ground which were proposed by Bae & Kim in 2008. We found out in this test the characteristics of the behavior of the back ground in accordance with the shape and size of the pile and ground density. We examined the interrelationship of the relative density of sand, the size and the sectional shape of the pile as well.

Impacts of Land Use and Urban Design Characteristics on Transit Ridership in the Seoul Rail Station Areas (서울시 역세권에서의 토지이용 및 도시설계특성이 대중교통이용증대에 미치는 영향 분석)

  • Sung, Hyung-Gon;Kim, Dong-Jun;Park, Jee-Hyung
    • Journal of Korean Society of Transportation
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    • v.26 no.4
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    • pp.135-147
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    • 2008
  • One of the efforts both to prevent urban sprawling development patterns and to promote use of public transportation is known as Transit-Oriented Development (TOD), including such planning elements as the density and diversity of land use and pedestrian-friendly urban design around a transit center. The aim of this study is thus to conduct impact analyses of TOD planning elements on transit ridership in the Seoul rail station areas. First, the authors investigate and draw out various actual elements of TOD planning by using GIS-based data and Smart Card data. Then the authors analyze impacts of TOD planning elements on transit ridership for the Seoul rail station areas. After condensing 34 variables presumably influencing transit ridership into seven factors by using factor analyses, the study utilizes multiple regression modeling methods to identify their impacts on transit ridership. The analysis results demonstrate that transit ridership tends to increase more in rail station areas where there is a non-residential high density, mixed use of land and narrow and small-size road network patterns. The implementation of TODs should be a useful method in inducing a Transit-Oriented City through redevelopment and new development.