• 제목/요약/키워드: shape determination problem

검색결과 34건 처리시간 0.018초

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.

Shape determination of 3-D reinforcement corrosion in concrete based on observed temperature on concrete surface

  • Kurahashi, Takahiko;Oshita, Hideki
    • Computers and Concrete
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    • 제7권1호
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    • pp.63-81
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    • 2010
  • We present the shape determination method of 3-D reinforcement corrosion based on observed temperature on concrete surface. The non-destructive testing for reinforcement corrosion in concrete using a heat image on concrete surface have been proposed by Oshita. The position of the reinforcement of corrosion or the cavity can be found using that method. However, the size of those defects can not be precisely measured based on the heat image. We therefore proposed the numerical determination system of the shape for the reinforcement corrosion using the observed temperature on the concrete surface. The adjoint variable method is introduced to formulate the shape determination problem, and the finite element method is employed to simulate the heat transfer problem. Some numerical experiments and the examination for the number of the observation points are shown in this paper.

유선추적법을 이용한 자유표면 예측기법 개발 (Prediction of Free Surface by Streamline-Tracing Method)

  • 김태효;황상무
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 춘계학술대회논문집
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    • pp.175-178
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    • 1998
  • Tracings streamlines in global coordinate, especially with finite element mesh, requires much computation due to C0 continuity of velocity field. In this study, a new approach is presented for the determination of streamlines from velocity field obtained by FE analysis. It is shown that amount of calculation can be drastically reduced and boundary of element can be easily treated. The approach is applied to the problem of free surface of deforming workpieces in shape rolling.

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Boundary Method for Shape Design Sensitivity Analysis in Solving Free-Surface Flow Problems

  • Choi Joo Ho;Kwak H. G.;Grandhi R. V.
    • Journal of Mechanical Science and Technology
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    • 제19권12호
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    • pp.2231-2244
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    • 2005
  • An efficient boundary-based optimization technique is applied in the numerical computation of free surface flow problems, by reformulating them into the equivalent optimal shape design problems. While the sensitivity in the boundary method has mainly been calculated using the boundary element method (BEM) as an analysis means, the finite element method (FEM) is used in this study because of its popularity and easy-to-use features. The advantage of boundary method is that the design velocity vectors are needed only on the boundary, not over the whole domain. As such, a determination of the complicated domain design velocity field, which is necessary in the domain method, is eliminated, thereby making the process easy to implement and efficient. Seepage and supercavitating flow problem are chosen to illustrate the accuracy and effectiveness of the proposed method.

신경망을 이용한 3차원 잡는 점들의 해석적 결정 (Analytic Determination of 3D Grasping points Using Neural Network)

  • 이현기;한창우;이상룡
    • 한국정밀공학회지
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    • 제20권4호
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    • pp.112-117
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    • 2003
  • This paper deals with the problem of synthesis of the 3-dimensional Grasp Planning. In previous studies the genetic algorithm has been used to find optimal grasping points, but it had a limitation such as the determination time of grasping points was so long. To overcome this limitation we proposed a new algorithm which employs the Neural Network. In the Neural network we chose input parameters based on the shape of the object and output parameters resulted from optimization with the GA method. In this study the GRNN method is employed, it has been trained by the result value of optimization method and it has been tested by known object. The algorithm is verified by computer simulation.

알타리무 삭피용 최적 칼날형상의 구명 (Determination of Optimum Cutter Shape for Peeling Altari Radish)

  • 민영봉;김성태;강동현;정태상
    • Journal of Biosystems Engineering
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    • 제28권5호
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    • pp.421-428
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    • 2003
  • This study was conducted to determine the optimum blade shape for peeling Altari radish. To figure out the required peeling force according to various angles of blade and rakes of peeling cutter, two peeling tests such as circumferential peeling and longitudinal peeling of Altari radish were carried out. Based on the pretest results, which performed to investigate the applicability of the optimum shape of cutter and to find out the cutting pattern according to the lapse of days after harvesting the radish, the peeling depth and width of the blade were fixed at 2 mm and 10 mm. From two methods of circumferential and longitudinal peeling test, the angles of rake and blade as cutter shape factors were affected on peeling force. But the peeling speed was not affected on it under the safety speed as 0.2 m/s, without blade vibrating on peeling operation. The rake angle was more effective factor than the blade angle, and the optimum angles of blade and rake were 10$^{\circ}$ and 55$^{\circ}$ respectively. The cutting surface by the longitudinal peeling was more smooth than that by the circumferential peeling. There was no problem in peeling work during 4 days after harvest because the freshness of the Altari radish was maintained.

원공배열 결정에 최적기준법에 의한 전동차 크로스 빔의 위상최적화에 관한 연구( I ) (A Study on the Topology Optimization of Electric Vehicle Cross beam using an Optimality Criteria Method in Determination of Arranging Hole( I ))

  • 전형용
    • 한국정밀공학회지
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    • 제19권11호
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    • pp.137-145
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    • 2002
  • Electric vehicle body has to be subjected to uniform load and requires auxiliary equipment such as air pipe and electric wire pipe. Especially, the cross beam supports the weight of passenger and electrical equipments. a lightweight vehicle body is salutary to save operating costs and fuel consumption. Therefore this study is to perform the size and the shape optimization of crossbeam for electric vehicle using the method of topology optimization to introduce the concept of homogenization based on optimality criteria method which is efficient for the problem having the number of design variables and a few boundary condition. this provides the method to determine the optimum position and shape of circular hole in the cross beam and then can achieve the optimal design to reduce weight.

원공배열 결정에 최적기준법에 의한 전동차 크로스 빔의 위상최적화에 관한 연구 (A Study on the Topology Optimization of Electric Vehicle Cross beam using an Optimality Criteria Method in Determination of Arranging Hole)

  • 전형용;천홍정;송시엽;최중호
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 추계학술대회 논문집(II)
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    • pp.876-883
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    • 2002
  • Electric vehicle body has to be subjected to uniform load and requires auxiliary equipment such as air pipe and electric wire pipe. Especially, the cross beam supports the weight of passenger and electrical equipments. a lightweight vehicle body is salutary to save operating costs and fuel consumption. Therefore this study is to perform the size and the shape optimization of crossbeam fur electric vehicle using the method of topology optimization to introduce the concept of homogenization based on optimality criteria method which is efficient for the problem having the number of design variables and a few boundary condition. this provides the method to determine the optimum position and shape of circular hole in the cross beam and then can achieve the optimal design to reduce weight.

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열변형 해석 기구를 통한 선상 가열에서의 가열선 수정에 관한 연구 (A Mechanics-Based Determination of Heating Lines in Line Heating Process)

  • 김용균;신종계
    • 대한조선학회논문집
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    • 제39권2호
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    • pp.45-51
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    • 2002
  • 선체는 많은 다중곡(compound curvature)을 가진 판들로 이루어져 있으며 이러한 판들을 가공하기 위해서, 조선소에서는 선상 가열(line heating) 방법이 널리 이용되어 왔다. 선상 가열법에서 가열선을 결정하는 방법으로 지금까지는 기하 변형해석을 이용하여 가열선을 제시하여 왔다. 그러나 기하해석으로 구한 가열선에 대한 역학적 검증이 이루어지지 않고 있으며 여러 가열선 중 어떤 가공선을 선택할 것인가에 대한 연구도 이루어지지 않고 있다. 본 논문에서는 기하해석을 통해 판의 가열정보를 얻었을 때 이를 역학적으로 검증하여 실제로 판에 가열정보대로 가공을 하였을 때 나타날 수 있는 판의 거동을 예측하였다. 또한 본 논문에서는 적정 가열선을 찾는 전체 과정을 제시하였다. 가공정보로부터 예측된 가공형상을 구한 후 목적형상과 비교하여 가공형상이 목적형상의 오차범위 내에 존재할 때까지 가열선의 조정변수를 변화시켜 적절한 가공정보를 획득하였다.

변형률속도를 고려한 상온 나노임프린트 공정의 유한요소해석 (Finite Element Analysis of the Room Temperature Nanoimprint Lithography Process with Rate-Dependent Plasticity)

  • 송정한;김승호;;허훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 추계학술대회 논문집
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    • pp.63-66
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    • 2005
  • Nanoimprint lithography (NIL) process at room temperature has been newly proposed in recent years to overcome the shape accuracy and sticking problem induced in a conventional NIL process. Success of the room temperature NIL relies on the accurate understand of the mechanical behavior of the polymer. Since a conventional NIL process has to heat a polymer above the glass transition temperature to deform the physical shape of the polymer with a mold pattern, viscoelastic property of polymer have major effect on the NIL process. However, rate dependent behavior of polymer is important in the room temperature NIL process because a mold with engraved patterns is rapidly pressed onto a substrate coated with the polymer by the hydraulic equipment. In this paper, finite element analysis of the room temperature NIL process is performed with considering the strain rate dependent behavior of the polymer. The analyses with the variation of imprinting speed and imprinting pattern are carried out in order to investigate the effect of such process parameters on the room temperature NIL process. The analyses results show that the deformed shape and imprint force is quite different with the variation of punch speed because the dynamic behavior of the polymer is considered with the rate dependent plasticity model. The results provide a guideline for the determination of process conditions in the room temperature NIL process.

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