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Shape Optimization of Energy Flow Problems Using Level Set Method (레벨 셋 기법을 이용한 에너지 흐름 문제의 형상 최적화)

  • Seung-Hyun, Ha;Seonho, Cho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.411-418
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    • 2004
  • Using a level set method we develop a shape optimization method applied to energy flow problems in steady state. The boundaries are implicitly represented by the level set function obtainable from the 'Hamilton-Jacobi type' equation with the 'Up-wind scheme.' The developed method defines a Lagrangian function for the constrained optimization. It minimizes a generalized compliance, satisfying the constraint of allowable volume through the variations of implicit boundary. During the optimization, the boundary velocity to integrate the Hamilton-Jacobi equation is obtained from the optimality condition for the Lagrangian function. Compared with the established topology optimization method, the developed one has no numerical instability such as checkerboard problems and easy representation of topological shape variations.

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A Permanent Magnet Pole Shape Optimization for a 6MW BLDC Motor by using Response Surface Method (II) (RSM을 이용한 6MW BLDC용 영구자석의 형상 최적화 연구 (II))

  • Woo, Sung-Hyun;Chung, Hyun-Koo;Shin, Pan-Seok
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.701-702
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    • 2008
  • An adaptive response surface method with Latin Hypercube sampling strategy is employed to optimize a magnet pole shape of large scale BLDC motor to minimize the cogging torque. The proposed algorithm consists of the multi-objective Pareto optimization and (1+${\lambda}$) evolution strategy to find the global optimal points with relatively fewer sampling data. In the adaptive RSM, an adaptive sampling point insertion method is developed utilizing the design sensitivities computed by using finite element method to get a reasonable response surface with a relatively small number of sampling points. The developed algorithm is applied to the shape optimization of PM poles for 6 MW BLDC motor, and the cogging torque is reduced to 19% of the initial one.

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Study on Strengthening Effect and Failure Behavior of CFS Strengthened High Strength RC Columns after Cross -sectional Shape Modification (4각기둥의 단면형상 변형 후 CFS로 보강한 고강도 철근 콘크리트 기둥의 보강효과 및 파괴거동 연구)

  • Jun Kyung-Suk;Kim Jang-Ho;Park Seok-Kyun;Kim Jin-Keun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05a
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    • pp.259-262
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    • 2005
  • Numerous studies showed that safety and serviceability of many concrete infrastructures and buildings built in 1970's have capacity less than their design capacities and thereby require immediate retrofitting. Currently, these aged concrete structure are being repaired using many repair and strengthening methods developed in the past. Therefore, in this study, a repairing and strengthening method for retrofitting high strength concrete columns that can effectively improve the performance of high strength concrete columns is developed. The square high strength concrete column's cross-sectional shape is modified to octagonal shape by attaching precast members on the surface of the column. Then, the octagonal column surface is wrapped using Carbon Fiber Sheets (CFS). The method allowed the maximum usage of confinement effect of externally wrapped CFS, which resulted in improved strength and ductility of repaired high strength concrete columns.

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Design Sensitivity Analysis and Topology Optimization of Geometrically Nonlinear Structures (기하학적 비선헝 구조물의 설계 민감도해석 및 위상최적설계)

  • Cho, Seonho;Jung, Hyunseung;Yang, Youngsoon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.335-342
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    • 2002
  • A continuum-based design sensitivity analysis (DSA) method fur non-shape problems is developed for geometrically nonlinear elastic structures. The non-shape problem is characterized by the design variables that are not associated with the domain of system like sizing, material property, loading, and so on. Total Lagrangian formulation with the Green-Lagrange strain and the second Piola-Kirchhoff stress is employed to describe the geometrically nonlinear structures. The spatial domain is discretized using the 4-node isoparametric plane stress/strain elements. The resulting nonlinear system is solved using the Newton-Raphson iterative method. To take advantage of the derived analytical sensitivity In topology optimization, a fast and efficient design sensitivity analysis method, adjoint variable method, is employed and the material property of each element is selected as non-shape design variable. Combining the design sensitivity analysis method and a gradient-based design optimization algorithm, an automated design optimization method is developed. The comparison of the analytical sensitivity with the finite difference results shows excellent agreement. Also application to the topology design optimization problem suggests a very good insight for the layout design.

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Optimum pole shape design of linear synchronous motor by Evolution Strategy (Evolution Strategy를 이용한 선형 동기 전동기의 최적 형상 설계)

  • Jeon, Dae-Yeong;Kim, Dong-Soo;Cha, Guee-Soo;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.932-934
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    • 1993
  • Optimum pole shape is designed to increase the levitation and propulsion force of magnetic levitation systems. Evolution Strategy is introduced as optimization method. Evolution Strategy is random based non-deterministic method, developed by combining Genetic Algorithm with Simulated Annealing. Trasnsrapid-06, which was developed in Germany, is referenced model to be analyze. Design variables are nodes which determine fields pole shape of a linear synchronous motor, and the model analyzed by F.E.M.

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Development of Stamping Process Optimization System through the Integration of Blank Design and Nesting (블랭크 설계와 배치의 일체화를 통한 스탬핑 공정 최적화 시스템의 개발)

  • 심현보;박종규
    • Transactions of Materials Processing
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    • v.12 no.7
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    • pp.615-622
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    • 2003
  • In the automobile industry, the design of optimal blank shape becomes a significant part of the stamping. It provides many evident advantages, sush as enhancement of formability, reduction of material cost and product development period. However, the nesting process, required for the optimal usage of materials in the blanking becomes more complicated as the blank shape becomes complicated, like most optimal blank shape. In this study, stamping process optimization system for the optimal usage of material has been developed through the integration of optimal blank design and optimal nesting. For optimal blank design, a radius vector method, the modified version of the initial nodal velocity method, the past work of the present author, have been proposed. Both the optimal blank design and optimal nesting programs have been developed under the GUI environment for the convenience of engineers. The efficiency of the optimization system has been verified with some chosen problems.

Developed 3-axis Educational CNC Machine Tool (3축 CNC 교육용 공작기계 개발)

  • Jang, Sung-Wook
    • Journal of the Korean Society of Industry Convergence
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    • v.22 no.6
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    • pp.627-635
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    • 2019
  • In this study, we developed for processing complex features using CAM software that satisfies precision for example practice and related qualification tests suiTable for CNC training purposes. In addition, functions such as location control, speed control, and processing path generation, which are the main functions of CNC machining machines, were constructed using small equipment parts, servo motors, inverters, general purpose PCs, and commercial NC software and researched with the goal of developing low-cost education equipment. In the static accuracy inspection, the degree of machine when measuring the parallelism of the X, Y and Z axes and the vibration of the main shaft did not reach the allowable value. However, we have obtained a finished product that satisfies the CNC machine book sample shape machining, detailed functions of the position control function of the CNC machine tool, linear interpolation function, circular interpolation function, and tool offset function. In the qualification test shape processing, a shape with a degree of 1/100 mm was processed to obtain position accuracy that satisfied the tolerance.

Level Set based Shape Optimization using Extended B-spline Bases (확장 B-spline 기저 함수를 이용한 레벨셋 기반의 형상 최적 설계)

  • Kim, Min-Geun;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.391-396
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    • 2008
  • A level set based topological shape optimization using extended B-spline basis functions is developed for steady state heat conduction problems. The only inside of complicated domain is identified by the level set functions and taken into account in computation. The solution of Hamilton-Jacobi equation leads to an optimal shape according to the normal velocity field determined from the sensitivity analysis, minimizing a thermal compliance while satisfying a volume constraint. To obtain exact shape sensitivity, the precise normal and curvature of geometry need to be determined using the level set and B-spline basis functions. The nucleation of holes is possible whenever and wherever necessary during the optimization using a topological derivative concept.

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Development of Shape Optimization Scheme Using Selective Element Method (Application to 2-D Problems) (선택적 요소방법을 이용한 형상 최적 설계 기법 개발)

  • Shim, J.W.;Shin, J.K.;Park, G.J.
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.531-536
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    • 2001
  • The structural shape optimization is a useful tool for engineers to determine the shape of a structure. During the optimization process, relocations of nodes happen successively. However, excessive movement of nodes often results in the mesh distortion and eventually deteriorates the accuracy of the optimum solution. To overcome this problem, an efficient method for the shape optimization has been developed. The method starts from the design domain which is large enough to hold the possible shape of the structure. The design domain has pre-defined uniform fine meshes. At every cycle, the method judges whether all the elements are inside of the structure or not. Elements inside of the structure are assigned with real material properties, however elements outside of the structure are assigned with nearly zero values. The performance of the method is evaluated through various examples.

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Application of the Growth-Strain Method for Shape Optimization (형상 최적화를 위한 성장-변형률법의 적용)

  • 이경래
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.2
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    • pp.27-34
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    • 1999
  • The growth-strain method was used for shape optimization, which carries out the optimization by distributing uniformly the distributed parameter such as von Mises stress and shear strain energy density. Shape optimization is carried out by iteration of stress analysis and growth strain analysis. In this study, the effect of growth ratio in the method was investigated and then the range of the adequate value of the growth ratio was determined. Also the growth-strain method was improved by applying the linear PID control theory in order to control volume required by a designer. Finally, an automatic shape optimization system was built up by the improved growth-strain method with a commercial software using finite element method. The effectiveness and practicability of the developed shape optimization system was verified by some examples.

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