• Title/Summary/Keyword: shape determination problem

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Finite element procedure of initial shape determination for hyperelasticity

  • Yamada, Takahiro
    • Structural Engineering and Mechanics
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    • v.6 no.2
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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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    • v.7 no.1
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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.

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

  • 김태효;황상무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1998.03a
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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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    • v.19 no.12
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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.

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

  • 이현기;한창우;이상룡
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.4
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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.

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

  • 민영봉;김성태;강동현;정태상
    • Journal of Biosystems Engineering
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    • v.28 no.5
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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.

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

  • 전형용
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.11
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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.

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

  • 전형용;천홍정;송시엽;최중호
    • Proceedings of the KSR Conference
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    • 2002.10b
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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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A Mechanics-Based Determination of Heating Lines in Line Heating Process (열변형 해석 기구를 통한 선상 가열에서의 가열선 수정에 관한 연구)

  • Yong-Gyun Kim;Jong-Gye Shin
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.2
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    • pp.45-51
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    • 2002
  • In Line Heating method, heating line is determined by kinematics analysis. But the heating line, which is solved by kinematics analysis, doesn't verify by the point of physical analysis and the choice problem in many heating line doesn't determine. In this paper, the simulator is developed. When we get the processing information at the kinematics analysis, simulator can estimate the shape of deformed plate that process along the processing information. When we get the initial shape and the object shape, we calculate the processing information first, using kinematics analysis. In a simulator, we estimate deformed shape from the processing information. After this we compare deformed shape and object shape. If the error of deformed shape and object shape is in the proper limits, that information is determined the final processing information. Else we repeat the process changing variables.

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

  • Song J. H.;Kim S. H.;Hahn H. Thomas;Huh H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.10a
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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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