• Title, Summary, Keyword: Topology Optimization

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Topology Optimization of the Primary Mirror of a Multi-Spectral Camera (인공위성 카메라 주반사경의 위상 최적화)

  • Park, Kang-Soo;Chang, Su-Young;Lee, Enug-Shik;Youn, Sung-Kie
    • Proceedings of the KSME Conference
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    • pp.920-925
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    • 2001
  • A study on the topology optimization of a multi-spectral camera for space-use is presented. A multi-spectral camera for space-use experiences degradation of optical image in the space, which can not be detected on the optical test bench on the earth. An optical surface deformation of a primary mirror, which is a principal component of the camera system, under the self-weight loading is an important factor affecting the optical performance of the whole camera system. In this study, topology optimization of the primary mirror of the camera is presented. Total mass of the primary mirror is given as a constraint to the optimization problem. The sensitivities of the objective function and constraint are calculated by direct differentiation method. Optimization procedure is carried out by an optimality criterion method using the sensitivities of the objective function and the constraint. As a preliminary example, topology optimization considering a self-weight loading is treated. For practical use, the polishing pressure is included as a loading in the topology optimization of the primary mirror. Results of the optimized design topology for the primary mirror with varying mass ratios are presented.

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Application of topology optimization to bridge girder design

  • Kutylowski, Ryszard;Rasiak, Bartosz
    • Structural Engineering and Mechanics
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    • v.51 no.1
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    • pp.39-66
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    • 2014
  • This study deals with the design of bridge girder structures and consists of two parts. In the first part an optimal bridge girder topology is determined using a software based on structure compliance minimization with constraints imposed on the body mass, developed by the authors. In the second part, an original way in which the topology is mapped into a bridge girder structure is shown. Additionally, a method of converting the thickness of the bars obtained using the topology optimization procedure into cross sections is introduced. Moreover, stresses and material consumption for a girder design obtained through topology optimization and a typical truss girder are compared. Concluding, this paper shows that topology optimization is a good tool for obtaining optimal bridge girder designs.

An Analysis of Femoral Bone Remodeling Using Topology Optimization Method

  • Choi J. B.
    • Journal of Biomedical Engineering Research
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    • v.26 no.6
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    • pp.365-372
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    • 2005
  • Topology optimization method has a great advantage and capability over a conventional shape optimization technique because it optimizes a topology as well as a shape and size of structure. The purpose of the present study, using topology optimization method with an objective function of minimum compliance as a mechanism of bone remodeling, is to examine which shape factors of femur is strongly related with the curvature of femoral shaft. As is expected, the optimized curvature increased definitely with neck angle among the shape factors and showed a similar trend with the measured curvature to neck angle. Therefore, the topology optimization method can be successfully applied in the analysis of bone remodeling phenomenon in the subsequent studies.

Topology Optimization of Connection Component System Using Density Distribution Method (밀도분포법을 이용한 부재의 연결구조 최적화)

  • 한석영;유재원
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.4
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    • pp.50-56
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    • 2003
  • Most engineering products contain more than one component. Failure occurs either at the connection itself or in the component at the point of attachment of the connection in many engineering structures. The allocation and design of connections such as bolts, spot-welds, adhesive etc. usually play an important role in the structure of multi-components. Topology optimization of connection component provides more practical solution in design of multi-component connection system. In this study, a topology optimization based on density distribution approach has been applied to optimal location of fasteners such as T-shape, L-shape and multi-component connection system. From the results, it was verified that the number of iteration was reduced, and the optimal topology was obtained very similarly comparing with ESO method. Therefore, it can be concluded that the density distribution method is very suitable for topology optimization of multi-component structures.

Structural Topology Optimization using Element Remove Method (요소제거법을 이용한 구조물 위상최적설계)

  • 임오강;이진식;김창식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.183-190
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    • 2001
  • Topology optimization. has been evolved into a very efficient conceptual design tool and has been utilized into design engineering processes in many industrial parts. In recent years, topology optimization has become the focus of structural optimization design and has been researched and widely applied both in academy and industry. Traditional topology optimization has been using homogenization method and optimality criteria method. Homogenization method provides relationship equation between structure which includes many holes and stiffness matrix in FEM. Optimality criteria method is used to update design variables while maintaining that volume fraction is uniform. Traditional topology optimization has advantage of good convergence but has disadvantage of too much convergency time and additive checkerboard prevention algorithm is needed. In one way to solve this problem, element remove method is presented. Then, it is applied to many examples. From the results, it is verified that the time of convergence is very improved and optimal designed results is obtained very similar to the results of traditional topology using 8 nodes per element.

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Topology Optimization of a Transmission Case (변속기 케이스의 위상최적설계)

  • Park, Ji-Won;Kang, Dong-Su;Tak, Seung-Min;Kim, Jung-Kyeng;Song, Chul-Ki;Lee, Seok-Soon;Park, Jung-Hwan
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.11
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    • pp.57-62
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    • 2010
  • The transmission case has bearing loads, The case should be designed with more stiffness and lightweight under high external loads, In this study, we performed FEA(Finite Element Analysis) for the transmission case and performed topology optimization base on the results of FEA. We performed topology optimization with the control of the shape size which is the results of topology optimization and suggested the shaped of the transmission case of topology optimization.

Topology Design Optimization of a Magnetic System Consisting of Permanent Magnets and Yokes and its Application to the Bias Magnet System of a Magnetostrictive Sensor (영구자석과 요크를 포함한 자기 시스템의 위상최적설계 및 자기 변형 센서의 바이어스 자석 설계에의 응용)

  • Cho, Seung-Hyun;Kim, Yoon-Young;Yoo, Jeong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.11
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    • pp.1703-1710
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    • 2004
  • The objective of this investigation is to formulate and carry out the topology optimization of a magnetic system consisting of permanent magnets and yokes. Earlier investigations on magnetic field topology optimization have been limited on the design optimization of yokes or permanent magnets alone. After giving the motivation for the simultaneous design of permanent magnets and yokes, we develop the topology optimization formulation of the coupled system by extending the technique used in structural problems. In the present development, we will also examine the effects of the functional form for permeability penalization on the optimized topology.

Multi-material topology optimization of Reissner-Mindlin plates using MITC4

  • Banh, Thien Thanh;Lee, Dongkyu
    • Steel and Composite Structures
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    • v.27 no.1
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    • pp.27-33
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    • 2018
  • In this study, a mixed-interpolated tensorial component 4 nodes method (MITC4) is treated as a numerical analysis model for topology optimization using multiple materials assigned within Reissner-Mindlin plates. Multi-material optimal topology and shape are produced as alternative plate retrofit designs to provide reasonable material assignments based on stress distributions. Element density distribution contours of mixing multiple material densities are linked to Solid Isotropic Material with Penalization (SIMP) as a design model. Mathematical formulation of multi-material topology optimization problem solving minimum compliance is an alternating active-phase algorithm with the Gauss-Seidel version as an optimization model of optimality criteria. Numerical examples illustrate the reliability and accuracy of the present design method for multi-material topology optimization with Reissner-Mindlin plates using MITC4 elements and steel materials.

Topology Optimization using S-shape material model (S 모양 가상재료를 이용한 위상최적화)

  • Yoon, G.H.;Kim, Y.Y.
    • Proceedings of the KSME Conference
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    • pp.345-350
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    • 2000
  • In this paper, we introduce a new artificial material model for topology optimization. The present material model, named S-shape material model, accelerates topology optimization process especially in mathematical programming. We overcome the instability and the flatness in heuristic optimization process. Numerical examples show the superiority of the proposed material.

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Parallel Topology Optimization on Distributed Memory System (분산 메모리 시스템에서의 병렬 위상 최적설계)

  • Lee Ki-Myung;Cho Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.291-298
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    • 2006
  • A parallelized topology design optimization method is developed on a distributed memory system. The parallelization is based on a domain decomposition method and a boundary communication scheme. For the finite element analysis of structural responses and design sensitivities, the PCG method based on a Krylov iterative scheme is employed. Also a parallelized optimization method of optimality criteria is used to solve large-scale topology optimization problems. Through several numerical examples, the developed method shows efficient and acceptable topology optimization results for the large-scale problems.

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