• 제목/요약/키워드: initial shape determination

검색결과 46건 처리시간 0.029초

Finite element procedure of initial shape determination for hyperelasticity

  • Yamada, Takahiro
    • Structural Engineering and Mechanics
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    • 제6권2호
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    • pp.173-183
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    • 1998
  • In the shape design of flexible structures, it is useful to predict the initial shape from the desirable large deformed shapes under some loading conditions. In this paper, we present a numerical procedure of an initial shape determination problem for hyperelastic materials which enables us to calculate an initial shape corresponding to the prescribed deformed shape and boundary condition. The present procedure is based on an Arbitrary Lagrangian-Eulerian (ALE) finite element method for hyperelasticity, in which arbitrary change of shapes in both the initial and deformed states can be treated by considering the variation of geometric mappings in the equilibrium equation. Then the determination problem of the initial shape can be formulated as a nonlinear problem to solve the unknown initial shape for the specified deformed shape that satisfies the equilibrium equation. The present approach can be implemented easily to the finite element method by employing the isoparametric hypothesis. Some basic numerical results are also given to characterize the present procedure.

One-Step FEM을 이용한 초기 블랭크 형상 결정에 관한 연구 (The Determination of Initial Blank Shape by Using the One-Step FEM)

  • 정동원;이상제
    • 한국해양공학회지
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    • 제13권3호통권33호
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    • pp.21-28
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    • 1999
  • In this paper, a finite element method for the determination of initial blank shape in sheet metal forming process will be introduced. The initial blank shape is determined by the only one step from the final to the initial blank. The used finite element inverse method adopted Henky's deformation theory, Hill's anisotropic yield criterion and simplified boundary conditions. Based on this theory. a three-dimensional membrane finite element code was developed. The developed code will be applied to several sheet metal forming examples for the demonstration of its validity.

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후방압출공정에서 치수정밀도 향상을 위한 초기소재형상 결정 (Determination of Initial Billet Shape to Improve Dimensional Accuracy in Backward Extruded Cups)

  • Kim, H.C.;Kim, T.H.;Park, J.C.
    • 한국정밀공학회지
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    • 제14권2호
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    • pp.129-135
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    • 1997
  • Experimental studies have been carried out to obtain uniform cups by one operation of backward extrusion. A lot of factors on dimensional accuracy of backward extruded cups are billet material, billet shape, punch shape, punch velocity, geometry of tool, tool material, and lubrication etc. In manufacturing cup-shaped parts by backward extrusion, it is very important to design the initial billet shape or the preform. The objective of this paper is to find that the shape of the initial billet is related to dimensional accuracy and also to manufacture the more accurate product simultaneously reducing the loss of material as forming the shape of the initial billet by means of upsetting.

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압력손실시험을 이용한 막 완결성 평가에서 초기압력 및 UCL 도출인자 민감도 분석 (Sensitivity Analysis of Initial Pressure and Upper Control Limit on the Pressure Decay Test for Membrane Integrity Evaluation)

  • 이주희;홍승관;허현철;이광제;최영준
    • 한국물환경학회지
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    • 제24권6호
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    • pp.793-800
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    • 2008
  • Recently domestic drinking water industry has recognized membrane-based technology as a promising alternative for water treatment. To ensure successful application of membrane processes, the integrity of membrane systems should be maintained. According to US EPA guidance, the pressure decay test based on the bubble point theory is recommended to detect any membrane defection of which size is close to the smallest diameter of Cryptosporidium oocysts, $3{\mu}m$. Proper implementation of the pressure decay test is greatly affected by initial test pressure, and the interpretation of the test results is associated with upper control limit. This study is conducted to investigate various factors affecting determination of initial test prtessure and upper control limit, including membrane-based parameters such as pore shape correction factor, surface tension and contact angle, and system-based parameters, such as volumetric concentration factor and total volume of system. In this paper, three different hollow fibers were used to perform the pressure decay test. With identical initial test pressure applied, their pressure decay tendency were different from each other. This finding can be explained by the micro-structure disparity of those membranes which is verified by FESEM images of those membranes. More specifically, FESEM images revealed that three hollow fibers have asymmetry, deep finger, shallow finger pore shape, respectively. In addition, sensitivity analysis was conducted on five parameters mentioned above to elucidate their relation to determination of initial test pressure and upper control limit. In case of initial pressure calculation, the pore shape correction factor has the highest value of sensitivity. For upper control limit determination, system factors have greater impact compared to membrane-based parameters.

신경망을 이용한 축대칭 냉간 단조품의 초기 소재 결정에 관한 연구 (A Study on the Determination of Initial Biller for Axisymmetric Cold Forging Products Using Neural Networks)

  • 김영호;배원병;박종옥
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.217-222
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    • 1994
  • This paper describes the determination of optimal initial billet size for axisymmetric cold forging products using neural networks. The determination of optimal initial billet size is very important in forging design and forming sequence design, because the result of such designs and forming load can be different by variable initial billet sizes. The forming difficulty has been defined as the degree of difficulty in forming by 3 process ' forward extrusion, backward extrusion and upsetting. By neural networks a forming difficulty can be determined with the ratio of shape and forming process. From the graph of maximum, minimum, and average forming difficulties by variable billet sizes, the optimal billet size can be determined. The initial billets of a solid part and a hollow part whichwas determined by this study are compared with the sequence drawing generated by the one of forming sequence design system.

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후방압출공정에서 치수정밀도 향상을 위한 초기소재형상 결정 (Determination of Initial Billet Shape to improve Dimension Accuracy in Backdward Extruded Cups)

  • 김호창
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 춘계학술대회 논문집
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    • pp.196-200
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    • 1996
  • In general, cylinderical types of billet are use in the backward extrusion. It is difficult to obtain homogenious wall thickness by the backward extrusion using these. It is gradually increased that improving the accuracyand reducing the post machining of the final products. In manufacturing cup shaped parts by backward extrusion, it is very important to design optimal initial billet or preform. These can improve the accuracy of final products and remove the post machining processes. In this study, the influence of final parts geometry by the shape of initial billet as non machined types are discussed.

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막구조물의 준공평형 형상해석에 관한 연구 (A Study on the Actual Equilibrium Analysis for Membrane Structures)

  • 이장복;김재열;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.61-68
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    • 2000
  • In general, the design of membrane structures takes three steps. The first is shape finding analysis which is determination of initial equilibrium geometry with uniform stresses. The second step involve the computation of the stress-deformation to get completed membrane under various load conditions. The third step is to divide the membrane structures into several plan strips from the initial equilibrium states. This procedure is needed because of the initial shape has usually undevelopable curved surface and is called as "cutting patterns generation". By introducing this work, the deformation due to the initial stress is removed and approximate cutting patterns are generated. In this approach, however, material properties is not considered, therefore the error between the design stresses and actual stresses during the fabrication of plan strips should be occurred. In this paper, actual equilibrium shape analysis procedure for HP shape models is presented. The deviations of stresses between the design stresses and actual stresses are estimated.

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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.

막 구조물에 관한 형상 탐색과 재단도 결정법 (A Shape Finding and Cutting Pattern Determination for Membrane Structures)

  • 최호;이장복;김재열;서삼열;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.175-182
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    • 1998
  • The object of this study is shape finding and cutting pattern generation of membrane structures under the following assumptions : (1) material is linearly elastic (2) stress state is plane stress. Cable and membrane structures should introduce the nonlinear analysis considering geometric nonlinearity because these structures deform largely under the external loads. The analysis procedure is consisted of three steps considering geometric nonlinearity unlike any other structures. First step is the shape finding analysis to determine the initial equilibrium shape. Second step is the stress-deformation analysis to investigate the behaviors of structures under various external loads. Once a satisfactory shape has been found, a cutting pattern based on the shape finding analysis may be generated from the view point of construction. In this paper, (1) shape finding analysis formulation and an example, (2) cutting pattern determination procedure using weighted least-square minimization flattening method and some results are presented.

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균열이 있는 구조물의 형상 최적화 (Shape Optimization of Structures with a Crack)

  • 한석영;송시엽;백춘호
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2001년도 추계학술대회(한국공작기계학회)
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    • pp.298-303
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    • 2001
  • Most of mechanical failures are caused by repeated loadings and therefore they are strongly related to fatigue. To avoid the failures caused by fatigue, determination of an optimal shape of a structure is one of the very important factors in the initial design stage. Shape optimization for a compact tension specimen in opening mode in fracture mechanics, was accomplished by the linear elastic fracture mechanics and the growth-strain method in this study. Also shape optimization for a cantilever beam in mixed mode was carried out by the same techniques. The linear elastic fracture mechanics was used to estimate stress intensity factors and fatigue lives. And the growth-strain method was used to optimize the shape of the initial shape of the specimens. From the results of the shape optimization, it was found that shapes of two types of specimens and a cantilever beam optimized by the growth-strain method prolong their fatigue lives very much. Therefore, it was verified that the growth-strain method is an appropriate technique for shape optimization of a structure having a crack.

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