• 제목/요약/키워드: initial shape analysis

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등기하 해석법을 이용한 형상 최적 설계 (Shape Design Optimization using Isogeometric Analysis Method)

  • 하승현;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.216-221
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    • 2008
  • Shape design optimization for linear elasticity problem is performed using isogeometric analysis method. In many design optimization problems for real engineering models, initial raw data usually comes from CAD modeler. Then designer should convert this CAD data into finite element mesh data because conventional design optimization tools are generally based on finite element analysis. During this conversion there is some numerical error due to a geometry approximation, which causes accuracy problems in not only response analysis but also design sensitivity analysis. As a remedy of this phenomenon, the isogeometric analysis method is one of the promising approaches of shape design optimization. The main idea of isogeometric analysis is that the basis functions used in analysis is exactly same as ones which represent the geometry, and this geometrically exact model can be used shape sensitivity analysis and design optimization as well. In shape design sensitivity point of view, precise shape sensitivity is very essential for gradient-based optimization. In conventional finite element based optimization, higher order information such as normal vector and curvature term is inaccurate or even missing due to the use of linear interpolation functions. On the other hands, B-spline basis functions have sufficient continuity and their derivatives are smooth enough. Therefore normal vector and curvature terms can be exactly evaluated, which eventually yields precise optimal shapes. In this article, isogeometric analysis method is utilized for the shape design optimization. By virtue of B-spline basis function, an exact geometry can be handled without finite element meshes. Moreover, initial CAD data are used throughout the optimization process, including response analysis, shape sensitivity analysis, design parameterization and shape optimization, without subsequent communication with CAD description.

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전자소자의 3차원 형상최적화를 위한 구조변형 해석을 이용한 새로운 요소망 변형법 (Novel Mesh Regeneration Method Using the Structural Deformation Analysis for 3D Shape Optimization of Electromagnetic Device)

  • Yao Yingying;Jae Seop Ryu;Chang Seop Koh;Dexin Xie
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제52권6호
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    • pp.247-253
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    • 2003
  • A novel finite element mesh regeneration method is presented for 3D shape optimization of electromagnetic devices. The method has its theoretical basis in the structural deformation of an elastic body. When the shape of the electromagnetic devices changes during the optimization process, a proper 3D finite element mesh can be easily obtained using the method from the initial mesh. For real engineering problems, the method guarantees a smooth shape with proper mesh quality, and maintains the same mesh topology as the initial mesh. Application of the optimum design of an electromagnetic shielding plate shows the effectiveness of the presented method.

막구조물의 파손단면에서의 응력집중 현상에 관한 연구 (A Study on the Stress Concentration at Crack of Membrane Structures)

  • 전진형;정을석;김승덕
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2005년도 춘계학술발표회 및 정기총회 2권1호(통권2호)
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    • pp.89-98
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    • 2005
  • Membrane structures, a kind of lightweight soft structural system, are used for spatial structures. The material property of the membrane has strong axial stiffness, but little bending stiffness. Therefore membrane structures arc unstable structures initially. These soft structures need to be introduced initial stresses first because of its initial unstable state, and it happens large deformation phenomenon. To find the structural shape after large deformation caused by initial stiffness introduced, we need the shape analysis considering geometric nonlinearity in structural design procedure. In this study, we investigate into the stress concentration at crack of membrane structures. Therefore, using the nonlinear analysis program that NASS (Nonlinear Analysis for Spatial Structures) perform nonlinear analysis, and stress distribution for creak length investigate for using linear elastic fracture mechanics.

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3차원 유한요소법을 이용한 T형 가지관의 용접자리 성형 방법에 관한 연구 (A Study on the T-branch Forming with 3-D Finite Element Method)

  • 홍대훈;황두순;신동필;홍성인
    • 소성∙가공
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    • 제10권1호
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    • pp.23-29
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    • 2001
  • In this study, the optimized initial hole shape for T-branch forming was proposed to obtain effective welding region. Design variables were determined by approximation analysis using volume constant condition. We performed 3D elastic-plastic FEM(Finite Element Method) analysis to simulate T-branch forming process. The variation of height and thickness of T-branch with various hole shapes was investigated. The optimized initial hole shape equation was obtained by using results for the numerical analysis.

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위상이동 ESPI를 이용한 진동실험에서 위상각에 따른 진동모드 형상의 변화 (Vibration Mode Shape Changed by Phase Angle in Vibration Testing Using Phase-Shifting ESPI)

  • 정현철;김경석;양승필;장호섭;박찬주;조영학;김종수
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.443-446
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    • 2003
  • The vibration mode shape changed by the phase angle that can be controlled by phase-shifting ESPI system is discussed. For the phase-shifting ESPI experiment the stroboscopic illumination by using AOM(Acousto-Optic Modulator) is needed, and the initial phase angle can be adjusted by the program. The vibration mode shape is changed when the initial phase angle is changed. We examined the vibration mode shape change due to the initial phase angle change at each resonance frequency. Through this study, we found that in the vibration testing using phase-shilling ESPI the vibration mode shape is improved in the quality by adjusting exact phase angle and the error of the quantitative vibration analysis can be reduced.

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사장교 시스템의 실용적인 초기형상 결정법 (Practical Determination Method of Initial Cable Forces in Cable-Stayed Bridges)

  • 송요한;김문영
    • 한국전산구조공학회논문집
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    • 제24권1호
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    • pp.87-95
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    • 2011
  • 본 논문에서는 비선형해석이라는 복잡한 과정을 거치지 않고도 사장교 시스템의 초기형상을 효율적이고 합리적으로 결정하는 방법을 제시하고자 한다. 사장교 시스템의 초기형상해석이라 함은 주형의 수직 처짐과 휨모멘트, 주탑의 수평변위와 휨모멘트를 최소화하면서, 고정하중과 평형을 이룰 수 있는 케이블의 장력과 무응력길이를 결정하는 방법으로 이때, 케이블이 정착되는 주형의 수평위치, 주탑의 수직위치가 변하지 않아야 한다. 본 연구에서는 주형과 주탑의 케이블 정착부에서 힘의 평형조건을 이용하여 주형의 수직 처짐과 주탑의 수평변위를 효과적으로 제어할 수 있는 장력 산정법을 사장교의 형태별로 정리하여 제시하였으며, 2차원 사장교 예제들에 대하여 기존 연구의 방법들과 장력, 주형의 모멘트와 처짐 등을 비교하였다. 또한 3차원 실교량에 대해 Improved TCUD법으로 초기형상해석을 수행하여 그 결과와 비교함으로서 본 방법의 정확성을 입증하고자 하였다.

금형보정 모듈을 이용한 초고강도강 자동차부품용 프레스금형의 자동보정 (Automatic Tool Compensation for an UHSS Automotive Component Using a Compensation Module)

  • 이정흠;김세호
    • 소성∙가공
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    • 제25권2호
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    • pp.109-115
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    • 2016
  • In the current study, automatic tool compensation is accomplished by using a finite element stamping analysis for a center roof rail made of UHSS in order to satisfy the specifications for shape accuracy. The initial blank shape is calculated from a finite element inverse analysis and potential forming defects such as tearing and wrinkling are determined by the finite element stamping analysis based on the initial tool shape. The blank shape is optimized to meet the shape requirements of the final product with the stamping analysis, and die compensation is determined with the information about springback. The specifications for shape accuracy were successfully achieved by the proposed die compensation scheme using the finite element stamping analysis. The current study demonstrates that the compensation tendency is similar when the proposed scheme is used or when the compensation is performed by trial and error in the press-shop. This similarity verifies that the automatic compensation scheme can be used effectively in the first stage of tool design especially for components made from UHSS.

사장교의 최적 초기형상 및 무응력길이 결정을 위한 간략해석법 (A Simplified Analysis Method for Determining an Optimized Initial Shape of Cable-Stayed Bridges)

  • 정명락;박세웅;민동주;김문영
    • 대한토목학회논문집
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    • 제36권6호
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    • pp.947-954
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    • 2016
  • 고정하중을 받는 사장교의 최적 초기형상 결정을 위한 간략해석법을 제시한다. 이 방법은 비선형 유한요소 해석을 수행하지 않고 최적의 초기형상을 구현할 수 있으며, 최소의 휨모멘트를 발생시키는 무응력길이를 제공한다. 초기형상 해석 후 여타의 하중조합 또는 시공단계해석을 수행하기 위해 무응력길이를 변화시키지 않고 Newton-Raphson 반복법을 수행하는 무응력길이법을 이용한다. 수치예제는 제작캠버를 포함한 인천대교 2차원 모델이며, 제시된 해석법과 상용 유한요소해석 프로그램 MIDAS의 초기형상 해석결과를 비교 분석한다. 주로 케이블의 장력과 주부재의 휨모멘트 및 변위를 관찰하였으며, 두 해석결과는 축방향 변위를 제외하고 모든 결과 값이 서로 잘 일치함을 확인할 수 있었다.

우물정자형 Sub-frame의 블랭크 설계 (Optimum Blank Design of Automobile Sub-Frame)

  • 김종엽;김낙수;허만성
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 춘계학술대회논문집
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    • pp.185-195
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    • 1998
  • A new blank design method is proposed to predict the optimum initial blank shape in the sheet metal forming process. The rollback method for blank shape design takes the difference between final deformed shape and target contour shape into account. Based on the method, a computer program composed of blank design module, FE-analysis program and mesh generation module is developed. The rollback method is applied to square cup drawing process with the flange of unifiorm size around its periphery to confirm its validity. The optimum initial blank shape is obtained from an arbitrary square blank after three modifications. Good agreements are recognized between the numerical results and the published results for initial blank shape and thickness strain distribution. The optimum blank shape for two parts of automobile sub-frame is designed. The thickness distribution and the level of punch load is improved. Also, the method is applied to design the weld line in the tailor-welded blank. It is concluded that the rollback method is an effective and convenient method for an optimum blank shape design.

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A Controllable Ternary Interpolatory Subdivision Scheme

  • Zheng, Hongchan;Ye, Zhenglin;Chen, Zuoping;Zhao, Hongxing
    • International Journal of CAD/CAM
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    • 제5권1호
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    • pp.29-38
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    • 2005
  • A non-uniform 3-point ternary interpolatory subdivision scheme with variable subdivision weights is introduced. Its support is computed. The $C^0$ and $C^1$ convergence analysis are presented. To elevate its controllability, a modified edition is proposed. For every initial control point on the initial control polygon a shape weight is introduced. These weights can be used to control the shape of the corresponding subdivision curve easily and purposefully. The role of the initial shape weight is analyzed theoretically. The application of the presented schemes in designing smooth interpolatory curves and surfaces is discussed. In contrast to most conventional interpolatory subdivision scheme, the presented subdivision schemes have better locality. They can be used to generate $C^0$ or $C^1$ interpolatory subdivision curves or surfaces and control their shapes wholly or locally.