• 제목/요약/키워드: Topology optimization analysis

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위상최적화 기법을 이용한 반도체 공정용 압력방폭형 외함 도어의 보강 패턴 최적화 (Topology Optimization of Reinforcement Pattern for Pressure-Explosion Proof Enclosure Door in Semiconductor Manufacturing Process )

  • 김영상;신동석;전의식
    • 반도체디스플레이기술학회지
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    • 제22권2호
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    • pp.56-63
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    • 2023
  • This paper presents a method using finite element analysis and topology optimization to address the issue of overdesign in pressure-explosion proof enclosure doors for semiconductor manufacturing processes. The design conducted in this paper focuses on the pattern design of the enclosure door and its fixation components. The process consists of a solid-filled model, a topology optimization model, and a post-processing model. By applying environmental conditions to each model and comparing the maximum displacement, maximum equivalent stress, and weight values, it was confirmed that a reduction of about 13% in weight is achievable.

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신뢰성 해석을 이용한 구조최적화 (Structural Optimization using Reliability Analysis)

  • 박재용;임민규;오영규;박재용;한석영
    • 한국생산제조학회지
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    • 제19권2호
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    • pp.224-229
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    • 2010
  • This paper presents a reliability-based topology optimization (RBTO) using bi-directional evolutionary structural optimization (BESO). An actual design involves uncertain conditions such as material property, operational load and dimensional variation. Deterministic topology optimization (DTO) is obtained without considering of uncertainties related to the uncertainty parameters. However, the RBTO can consider the uncertainty variables because it has the probabilistic constraints. In this paper, the reliability index approach (RIA) is adopted to evaluate the probabilistic constraint. RBTO based on BESO starting from various design domains produces a similar optimal topology each other. Numerical examples are presented to compare the DTO with the RBTO.

2단계 동적 축소법을 적용한 구조물의 위상 최적 설계 (Structural Topology Optimization Using Two-level Dynamic Condensation Scheme)

  • 박수현;김현기;조맹효
    • 한국전산구조공학회논문집
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    • 제19권2호
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    • pp.213-219
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    • 2006
  • 위상 최적화 문제는 다양한 밀도 분포를 가지는 설계영역에서 목적함수와 요소단위의 설계 민감도의 반복적인 계산을 요구한다. 최근 제안된 2단계 축소기법은 축소 시스템을 구축하는데 매우 효과적이며 고유치 문제와 동적 문제의 해석에 정확도와 효율성을 동시에 제공한다. 본 논문에서는 구조 위상 최적화 문제에서 해석 부분과 민감도 계산 부분에 2단계 동적 축소기법을 사용한다. 축소시스템에 대한 위상 최적화 결과는 축소되지 않은 전체 시스템에 대한 최적화 결과와 비교하여도 공학적으로 요구되는 정확도 범위 내에서 2단계 축소기법이 높은 정확도와 계산 효율을 보장하는 것을 보여준다.

위상최적설계 기법을 이용한 이중편심 버터플라이 밸브의 디스크에 대한 형상설계 (SHAPE DESIGN FOR DISC OF A DOUBLE-ECCENTRIC BUTTERFLY VALVE USING THE TOPOLOGY OPTIMIZATION TECHNIQUE)

  • 양설민;백석흠;강상모
    • 한국전산유체공학회지
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    • 제17권1호
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    • pp.61-69
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    • 2012
  • In this paper, the shape design process is briefly discussed emphasizing the use of topology optimization in the conceptual design stage. The basic idea is to view feasible domains for sensitivity region concepts. In this method, the main process consists of two steps: as the design moves further inside the feasible domain using Taguchi method, and thus becoming more successful topology optimization, the sensitivity region becomes larger. In designing a double-eccentric butterfly valve, related to hydrodynamic performance and disc structure, are discussed where the use of topology optimization has proven to dramatically improve an existing design and significantly decrease the development time of a shape design. CFD analysis results demonstrate the validity of this approach.

Smooth Boundary Topology Optimization Using B-spline and Hole Generation

  • Lee, Soo-Bum;Kwak, Byung-Man;Kim, Il-Yong
    • International Journal of CAD/CAM
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    • 제7권1호
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    • pp.11-20
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    • 2007
  • A topology optimization methodology, named "smooth boundary topology optimization," is proposed to overcome the shortcomings of cell-based methods. Material boundary is represented by B-spline curves and their control points are considered as design variables. The design is improved by either creating a hole or moving control points. To determine which is more beneficial, a selection criterion is defined. Once determined to create a hole, it is represented by a new B-spline and recognized as a new boundary. Because the proposed method deals with the control points of B-spline as design variables, their total number is much smaller than cell-based methods and it ensures smooth boundaries. Differences between our method and level set method are also discussed. It is shown that our method is a natural way of obtaining smooth boundary topology design effectively combining computer graphics technique and design sensitivity analysis.

3 차원 요소를 이용한 구조물의 위상 최적설계 (Topology Design Optimization of Structures using Solid Elements)

  • 이기명;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.309-316
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    • 2005
  • In this paper, we develop continuum-based design sensitivity analysis (DSA) methods using both direct differential method (DDM) and adjoint variable method (AVM) for non-shape design problems. The developed DSA method is further utilized for the topology design optimization of 3-dimensional structures. In numerical examples, the analytical DSA results are verified using finite difference ones. The topology optimization method yields very reasonable results in physical point of view.

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위상최적설계를 이용한 차체 점용접 배치 최적화 연구 (A Study on Optimal Spot-weld Layout Design of the Car Body Structure Using Topology Optimization)

  • 김성래;이채욱;김문영;김찬묵;임홍재
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2012년도 춘계학술대회 논문집
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    • pp.361-366
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    • 2012
  • In this paper, we propose the efficient technique that reduces the number of spot-welds and increases the structural rigidity by using the topology optimization technique. Eigen value analysis is used to evaluate the rigidity of the optimized model. As a first step, the topology optimization is performed to find optimal spot-weld distributions. In this study, the design objective is to maximize the weighted frequencies. The volume fractions of the weld components are used as design constraints, and also the densities of each element in the individual design space are used as design variables. And then, to consider the possibility of spot-weld failure, the contribution rate analysis was performed by using the orthogonal array method of DOE. The spot-welds in the rear panel part are reinforced according to estimation results of the contribution rate analysis. Finally, we obtained optimized spot-weld layout model which has the reduced number of spot-welds and the improved dynamic stiffness.

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전달손실 최대화를 위한 공기-흡음재 배열 최적설계 (One-dimensional Topology Optimization for Transmission Loss Maximization of Multi-layered Acoustic Foams)

  • 이중석;김윤영;김정수;강연준;김은일
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.938-941
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    • 2006
  • We present a new design method of one-dimensional multi-layered acoustic foams for transmission loss maximization by topology optimization. Multi-layered acoustic foam sequences consisting of acoustic air layers and poroelastic material layers are designed for target frequency values. For successful topology optimization design of multi-layered acoustic foams, the material interpolation concept of topology optimization is adopted. In doing so, an acoustic air layer is modeled as a limiting poroelastic material layer; acoustic air and poroelastic material are handled by a single set of governing equations based on Biot's theory. For efficient analysis of a specific multi-layered foam appearing during optimization, we do not solve the differential equations directly, but we use an efficient transfer matrix approach which can be derived from Biot's theory. Through some numerical case studies, the proposed design method for finding optimal multi-layer sequencing is validated.

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Elite-initial population for efficient topology optimization using multi-objective genetic algorithms

  • Shin, Hyunjin;Todoroki, Akira;Hirano, Yoshiyasu
    • International Journal of Aeronautical and Space Sciences
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    • 제14권4호
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    • pp.324-333
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    • 2013
  • The purpose of this paper is to improve the efficiency of multi-objective topology optimization using a genetic algorithm (GA) with bar-system representation. We proposed a new GA using an elite initial population obtained from a Solid Isotropic Material with Penalization (SIMP) using a weighted sum method. SIMP with a weighted sum method is one of the most established methods using sensitivity analysis. Although the implementation of the SIMP method is straightforward and computationally effective, it may be difficult to find a complete Pareto-optimal set in a multi-objective optimization problem. In this study, to build a more convergent and diverse global Pareto-optimal set and reduce the GA computational cost, some individuals, with similar topology to the local optimum solution obtained from the SIMP using the weighted sum method, were introduced for the initial population of the GA. The proposed method was applied to a structural topology optimization example and the results of the proposed method were compared with those of the traditional method using standard random initialization for the initial population of the GA.

Robust concurrent topology optimization of multiscale structure under load position uncertainty

  • Cai, Jinhu;Wang, Chunjie
    • Structural Engineering and Mechanics
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    • 제76권4호
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    • pp.529-540
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    • 2020
  • Concurrent topology optimization of macrostructure and microstructure has attracted significant interest due to its high structural performance. However, most of the existing works are carried out under deterministic conditions, the obtained design may be vulnerable or even cause catastrophic failure when the load position exists uncertainty. Therefore, it is necessary to take load position uncertainty into consideration in structural design. This paper presents a computational method for robust concurrent topology optimization with consideration of load position uncertainty. The weighted sum of the mean and standard deviation of the structural compliance is defined as the objective function with constraints are imposed to both macro- and micro-scale structure volume fractions. The Bivariate Dimension Reduction method and Gauss-type quadrature (BDRGQ) are used to quantify and propagate load uncertainty to calculate the objective function. The effective properties of microstructure are evaluated by the numerical homogenization method. To release the computation burden, the decoupled sensitivity analysis method is proposed for microscale design variables. The bi-directional evolutionary structural optimization (BESO) method is used to obtain the black-and-white designs. Several 2D and 3D examples are presented to validate the effectiveness of the proposed robust concurrent topology optimization method.