• 제목/요약/키워드: Shape variables

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The Role of S-Shape Mapping Functions in the SIMP Approach for Topology Optimization

  • Yoon, Gil-Ho;Kim, Yoon-Young
    • Journal of Mechanical Science and Technology
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    • 제17권10호
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    • pp.1496-1506
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    • 2003
  • The SIMP (solid isotropic material with penalization) approach is perhaps the most popular density variable relaxation method in topology optimization. This method has been very successful in many applications, but the optimization solution convergence can be improved when new variables, not the direct density variables, are used as the design variables. In this work, we newly propose S-shape functions mapping the original density variables nonlinearly to new design variables. The main role of S-shape function is to push intermediate densities to either lower or upper bounds. In particular, this method works well with nonlinear mathematical programming methods. A method of feasible directions is chosen as a nonlinear mathematical programming method in order to show the effects of the S-shape scaling function on the solution convergence.

비축대칭 디프 드로잉 제품에서 펀치 및 다이형상반경의 영향 (The influence of punch and die shape radius in non-axisymmetric deep drawing products)

  • 박동환
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 추계학술대회논문집
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    • pp.22-25
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    • 1999
  • 'There are a lot of process variables, exerted influence on the formability of products, in deep drawing process. Particularly, it is important that the punch and die shape radius of the process variables. Though researches have been performed on the deep drawing of sheet metal forming, like this study, but it is insufficient the actual circumstances that researches for process variables of the non-axisymmetric deep drawing products. In this study, An effect on thickness distribution is grasped as alteration of the punch and die shape radius in the process of non-axisyrnmetric deep drawing products, and then the optimal punch and die shape radius were presented, they were verified by the numerical analysis method (FEM).

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조향장치용 스플라인 샤프트 이형인발 공정변수 최적화 (Optimization of Process Variables of Shape Drawing for Steering Spline Shaft)

  • 이상곤;김성민;이선봉;김병민
    • 소성∙가공
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    • 제19권2호
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    • pp.132-137
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    • 2010
  • In the multi-pass shape drawing process, the appropriate process design is very important to produce sound products. The reduction ratio, die angle, and the intermediate die shape are very important process variable of the multi-pass shape drawing. The aim of this study is the determination of the reduction ratio, die angle, and the intermediate die shape of the 2 pass shape drawing process for producing steering spline shaft. In this study, FE analysis, Taguchi method, and ANN(artificial neural network) were applied to determine the appropriate reduction ratio, die angle, and intermediate die shape. After the determination of the process variables, FE analysis and drawing experiment were performed to evaluate the effectiveness of the determined process variables. The dimensional accuracy of the final drawn spline shaft was evaluated by using 3D surface profiler and 3D laser digitizing system.

자기 평면 도파관 소자의 최적형상설 (Shape Optimization of Waveguide Tee Junction in H-plane)

  • 이홍배;한송엽;천창열
    • 대한전기학회논문지
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    • 제43권6호
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    • pp.1020-1026
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    • 1994
  • This paper presents a technique to optimize the shape of waveguide components in H-plane. The technique utilizes the numerical optimization process which employs the vector finite element method. In the optimization process, the sensitivity of an objective function with respect to design variables is computed by introducting adjoint variables, which makes the computation easy. The steepest descent method is then employed to update design variables. As a numerical example, an H-plane waveguide teejunction was considered to obtain optimized shape. Comparison between the initial and optimized shape was made.

가변스트레치성형 설계변수와 성형오차의 상관관계에 대한 통계적 연구 (Statistical Study on Correlation Between Design Variable and Shape Error in Flexible Stretch Forming)

  • 서영호;허성찬;강범수;김정
    • 소성∙가공
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    • 제20권2호
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    • pp.124-131
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    • 2011
  • A flexible stretch forming process is useful for small quantity batch production because various shape changes of the flexible die can be achieved conveniently. In this study, the design variables, namely, the punch size, curvature radius and elastic pad thickness, were quantitatively evaluated to understand their influence on sheet formability using statistical methods such as the correlation and regression analyses. Forming simulations were designed and conducted by a three-way factorial design to obtain numerical values of a shape error. Linear relationships between the design variables and the shape error resulted from the Pearson correlation analysis. Subsequently, a regression analysis was also conducted between the design variables and the shape error. A regression equation was derived and used in the flexible die design stage to estimate the shape error.

실험계획법을 적용한 Lower Control Arm의 피로수명 형상 최적설계 (Shape Optimization for Improving Fatigue Life of a Lower Control Arm Using the Experimental Design)

  • 김민수;이창욱;손성효;임홍재;허승진
    • 한국자동차공학회논문집
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    • 제11권3호
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    • pp.161-166
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    • 2003
  • In order to improve the fatigue lift of a lower control arm in the vehicle suspension, a new shape optimization procedure is presented. In this approach, the shape control point concept is introduced to reduce the numbers of shape design variables. Also, the two-level orthogonal way is employed to evaluate the design sensitivity of fatigue life with respect to those shape design variables, because the analytical design sensitivity information is not directly supplied from the commercial CAE softwares. In this approach, only the six design variables are used to approximate the shape of lower control arm. Then, performed are only 10 fatigue life analyses including the baseline design, 8 DOE models and the final design. The final design, the best combination obtained from the sensitivity information, can maximize the fatigue lift nearly two times as that of the baseline design, while reducing the 12 percentage of weight than it.

자동 격자 생성법과 설계 요소를 이용한 형상 최적 설계에 관한 연구 (A Study on the Optimal Shape Design Using Automatic Regridding and Design Element)

  • 김호룡;단병주
    • 한국정밀공학회지
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    • 제10권3호
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    • pp.87-96
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    • 1993
  • In this study, the peak stress of a fuillet in elastic structure was optimized to have minimum value by using quadratic isoparametric element. The method of auomatic gridding was also developed along with shape algorithm and design element technique was adopted in selecting design variables. The computer program developed was combined with the Hooke-Jeeves direct algorithm of optimization techniques in order to minimize the peak stress of the fillet. The imployment of design element technique significantly cut down computer time by the reduction in design variables, and the opitmum fillet shape with uniform minimum stress was obtained by varying design variables along x and y directions in improving the shape compared to other results. By using automatic gridding, in which Bezier surfaces and Coons surfaces of cubic interpolation were employed, the irregular boundary was removed resulting in smoother anbd more accurate fillet shape possessing uniform minimum stress.

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의복설계를 위한 비만 여성 체형의 연령층별 특징 (Characterizing for Age Group of Obese Women's Body Shape for Clothing Design)

  • 최혜선;이진희
    • 한국의류학회지
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    • 제19권5호
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    • pp.842-852
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    • 1995
  • The purpose of this study was to provide fundamental data of characterizing for age group of obese women's body shape. The subjects were 132 obese women, age of 20~59. The criteria of obestity based on Vervaeck index ($\geq$92.3), Rohrer index ($\geq$ 1.6), and bust girth ($\geq$90 cm). Thirty eight measurement items were used for F-test. Forty two transformed variables (including 4 additional variables) were used for cluster analysis The results were as follows: 1. Characteristics for age group were described that 20's was narrow shoulder, flesh contoured shape in upper body. 30's was rounded upper back, 40's was the slightest fatty shape, and 50's was the fattest round shape among four age groups. 2. Four types of obese women's body shape were classified by cluster analysis. Body shape of type 1 was fatty abdomen, and rounded upper back in 50's mainly. Body shape of type 2 was slightly fatty. Body shape of type 3 was round shape. Body shape of type 4 was the smallest girth in the obese women in 40's mainly.

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원심압축기 최적화를 위한 연구(I): 형상변수 및 설계변수에 관한 연구 (Optimization of a Centrifugal Compressor Impeller(I): Shape Parameters and Design Variables)

  • 최형준;박영하;안국영;조수용
    • 한국항공우주학회지
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    • 제39권5호
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    • pp.424-432
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    • 2011
  • 원심압축기 임펠러의 최적화연구를 수행하기 위하여 임펠러의 형상변수와 설계변수에 관한 연구를 수행하였다. 최적화된 결과로부터 성능향상이 달성되었는지를 평가하기 위하여 기존에 실험되어진 임펠러를 선택하였으며, 이 임펠러에서 최적화를 위한 설계변수를 선정하였다. 임펠러 유로에서 허브와 쉬라우드에서의 형상은 베지어곡선으로 재설계되었다. 또한 임펠러 허브와 팁에서의 블레이드 캠버선도 베지어곡선으로 표현하였다. 각각의 형상곡선은 6-8개의 조정점으로 충분히 일치하는 곡선을 얻게 되었으며, 이 중 형상의 변화에 큰 영향을 미치는 조정점을 선택하여 8개의 설계변수로 최적화가 가능함을 보여주었다. 따라서 기존에 사용되고 있는 원심압축기 임펠러의 점 데이터를 활용하여 최적화 형상을 위한 연구가 진행될 수 있음을 보여주었다.

타원형 디프 드로잉 공정에서 블랭크 형상의 영향에 관한 연구 (A Study on the Influence of Blank Shape in Elliptical Deep Drawing Process)

  • 박동환;배원락;박상봉;강성수
    • 소성∙가공
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    • 제9권5호
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    • pp.469-477
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    • 2000
  • Most of researches have been performed on the formability of axisymmetric shape, but it is insufficient that the study on Process variables of elliptical deep drawing Product. There are many Process variables exerted influence on the formability of products. Particularly, blank shape is more important than the others in elliptical deep drawing process. In this study, blanks of three types were proposed and compared using thickness distribution and movement of sheet during the process. The aim of a paper is to obtain optimal blank shape through experiment and finite element analysis(FEA).

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