• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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• pp.327-334
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• 2005

In this paper, using an adjoint variable method, we develop a design sensitivity analysis (DSA) method applicable to 3-Dimensional heat conduction problems in steady state. Also, a topology design optimization method is developed using the developed DSA method. Design sensitivity expressions with respect to the thermal conductivity are derived. Since the already factorized system matrix is utilized to obtain the adjoint solution, the cost for the sensitivity computation is trivial. For the topology design optimization, the design variables are parameterized into normalized bulk material densities. The objective function and constraint are the thermal compliance of structures and allowable material volume, respectively, Through several numerical examples, the developed DSA method is verified to yield efficiency and accurate sensitivity results compared with finite difference ones. Also, the topology optimization yields physical meaningful results.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2000년도 봄 학술발표회논문집
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• pp.187-194
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• 2000

Weight reduction for an automobile body is being sought for the fuel efficiency and the energy conservation. One way of the efforts is adopting Ultra Light Steel Auto Body (ULSAB) concept. The ULSAB concept can be used for the light weight of an automobile door with the tailor welded blank (TWB). A design process is defined for the TWB. The inner panel of door is designed by the TWB and optimization. The design starts from an existing component. At first, the hinge and inner reinforcements are removed. In the conceptual design stage, topology optimization is conducted to find the distribution of variable thicknesses. The number of parts and the welding lines are determined from the topology design. In the detailed design process, size optimization is carried out to find thickness while stiffness constraints are satisfied. The final parting lines are determined by shape optimization.

• Structural Engineering and Mechanics
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• 제81권3호
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• pp.267-280
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• 2022

Multiscale structure has attracted significant interest due to its high stiffness/strength to weight ratios and multifunctional performance. However, most of the existing concurrent topology optimization works are carried out under deterministic load conditions. Hence, this paper proposes a robust concurrent topology optimization method based on the bidirectional evolutionary structural optimization (BESO) method for the design of structures composed of periodic microstructures subjected to uncertain dynamic loads. The robust objective function is defined as the weighted sum of the mean and standard deviation of the module of dynamic structural compliance with constraints are imposed to both macro- and microscale structure volume fractions. The polynomial chaos expansion (PCE) method is used to quantify and propagate load uncertainty to evaluate the objective function. The effective properties of microstructure is evaluated by the numerical homogenization method. To release the computation burden, the decoupled sensitivity analysis method is proposed for microscale design variables. The proposed method is a non-intrusive method, and it can be conveniently extended to many topology optimization problems with other distributions. Several numerical examples are used to validate the effectiveness of the proposed robust concurrent topology optimization method.

• 한국전산구조공학회논문집
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• 제29권4호
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• pp.293-299
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• 2016

본 논문은 확장된 프로젝션 기법을 사용한 위상 최적설계 방법을 다루고 있다. 다양한 형상과 길이 스케일을 가지는 프로젝션 함수를 개발해 위상 최적설계 기법에 적용시킴으로써, 복합재료의 설계에서 형상 및 크기가 미리 주어진 보강재의 최적 배치를 위상 최적설계를 통해 결정할 수 있음을 확인하였다. 또한 이와 같은 프로젝션 기법이 균질화법과 결합되어 체적탄성률 또는 전단탄성률 등의 유효 재료특성을 최대화시키는 단위 구조를 설계함으로써, 주기 구조를 가지는 복합재료에서 보강재의 최적 배치를 결정하고 그 유효 재료특성값을 수치적으로 계산할 수 있음을 여러 수치 예제들을 통해서 검증하였다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집C
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• pp.392-397
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• 2001

Topology optimization is applied to determine the layout of a structure whose eigenfrequency coincides with a specified frequency. The topology optimization problem is formulated to minimize the difference between the structural frequency and a given frequency using the homogenization method and the modified optimality criteria method. It turns out that the value of a weighting factor in the updating scheme plays an important role to achieve both a suitable speed and a stable convergence of an algorithm. Unlike a constant weighting factor in previous works, it is suggested that a weight factor is varied during the iteration to control the amount of the frequency change. To substantiate the proposed approach two-dimensional structural design problems are presented and the resulted topology layouts for the specified eigenfrequency are compared to layouts for maximizing the corresponding eigenfrequency.

• Structural Engineering and Mechanics
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• 제38권4호
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• pp.517-527
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• 2011

A topology optimization and shape optimization method are widely used in the design area of engineering field. In this paper, a unified procedure to combine both topology and shape optimization method is used. A material distribution method is used first to extract necessary design parameters of the structure and a shape optimization scheme using genetic algorithm and satisfying all the condition follows. As an example, a GFRP bridge deck is designed and compared with other commercial products. The performance of the designed deck shows that the used design procedure is very efficient and safe. This procedure can be generalized for using in other areas of engineering.

• 한국해양환경ㆍ에너지학회지
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• 제19권3호
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• pp.194-202
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• 2016

본 연구에서는 10 MW급 부유식 파력-풍력 복합발전 시스템의 플랫폼 초기 개념설계를 위해 유한요소해석 기반 위상 최적화를 검토하였다. 실제 파력-풍력 복합발전 시스템 플랫폼의 위상최적화를 수행하기 전에 단순화된 구조설계 문제를 이용하여 효율적인 위상최적화 이론을 확인하고자 밀도법과 균질화설계법의 두 가지 위상최적화 이론을 적용하였다. 단순화된 설계 문제의 결과로부터 균질화설계법 이론을 파력-풍력 복합발전 시스템의 플랫폼 위상최적화에 적용하였다. 파력-풍력 복합발전 시스템의 플랫폼 개념설계를 위해서 유한요소해석 모델을 생성하고 설치해역의 해양환경하중을 고려하여 구조해석을 수행하였다. 설계파 및 조류와 같은 해양환경하중으로부터 기인하는 플랫폼 상의 압력과 계류삭의 인장력을 산출하기 위하여 동수력학 해석을 수행하였다. 구조해석을 위한 하중조건은 부유체 동수력학 해석으로부터의 결과와 파력-풍력 복합발전 시스템 중량을 고려하였고, 경계조건은 관성제거법을 사용하여 구현하였다. 밀도법 기반 파력-풍력 복합발전 시스템 플랫폼의 위상최적화 결과로부터 개념설계 단계에서 주요 구조부재의 배치방안을 제시하였다. 본 연구결과로부터 위상최적화는 부유식 파력-풍력 복합발전 시스템과 같은 새로운 형식의 해양구조물 개발에 있어서 주요 구조부재 배치의 개념설계에 대해 유용한 설계도구임을 확인하였다.

• 한국전산구조공학회논문집
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• 제25권1호
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• pp.73-80
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• 2012

대공간 구조물은 형태에 따라 구조물의 설계와 시공에 미치는 영향이 크기 때문에 초기 단계에서의 최적형태 설계가 중요하다. 그러나 기존의 대공간 구조물의 최적형태 설계는 구조엔지니어의 직관이나 경험을 바탕으로 수행되어 왔다. 따라서 본 연구에서는 대공간 트러스 구조물의 체계적인 최적형태 설계를 위해 위상최적화 기법과 Cellular Automata 모델을 이용한 통합프로세서를 제안하고자 한다. 먼저 위상최적화 기법을 이용하여 구조물의 초기 최적형상을 찾고, 다음 단계로 Cellular Automata 규칙에 의해 생성된 구조패턴을 적용하여 대공간 트러스 구조형태를 생성한다. 최종적으로 구조해석을 실시하고 크기최적화를 적용함으로써 설계조건을 만족하는 최적형태를 제안하고자 한다.

• Structural Engineering and Mechanics
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• 제52권1호
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• pp.19-33
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• 2014

Structural robustness refers to the ability of a structure to avoid disproportionate consequences to the original cause. Currently attentions focus on the concepts of structural robustness, and discussions on methods of robustness based structural design are rare. Firstly, taking basis in robust $H_{\infty}$ control theory, structural robustness is assessed by $H_{\infty}$ norm of the system transfer function. Then using the SIMP material model, robustness based design of grid structures is formulated as a continuum topology optimization problem, where the relative density of each element and structural robustness are considered as the design variable and the optimization objective respectively. Generalized elitist genetic algorithm is used to solve the optimization problem. As examples, robustness configurations of plane stress model and the rectangular hyperbolic shell model were obtained by robustness based structural design. Finally, two models of single-layer grid structures were designed by conventional and robustness based method respectively. Different interference scenarios were simulated by static and impact experiments, and robustness of the models were analyzed and compared. The results show that the $H_{\infty}$ structural robustness index can indicate whether the structural response is proportional to the original cause. Robustness based structural design improves structural robustness effectively, and it can provide a conceptual design in the initial stage of structural design.

• 한국기계가공학회지
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• 제21권4호
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• pp.100-106
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• 2022

Topology optimization is applied for the optimal design of various products to ensure weight reduction and productivity improvement. Reducing the weight of the mold while maintaining its rigidity can ensure shortening of the production cycle, stabilization of the mold temperature, and reduction of mold material costs. In this study, a topology optimization technique was applied to the optimal design of the injection mold, and a topology-optimized model of the mold was obtained. First, the injection mold for the square specimens was modeled. Subsequently, a structural analysis was performed by implementing a load condition generated during the injection molding process. Topology optimization was performed based on the structural analysis results, and the models of the initial and topology-optimized designs were manufactured at 1/4 magnification using a 3D printer. Consequently, compared with the existing model, the weight of the topology-optimized model decreased by 9.8%, and the manufacturing time decreased by 7.61%.