• Journal of the Computational Structural Engineering Institute of Korea
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• v.23 no.2
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• pp.153-163
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• 2010

In this paper a frequency response analysis using Krylov subspace-based model reduction and its design sensitivity analysis with respect to design variables are presented. Since the frequency response and its design sensitivity information are necessary for a gradient-based optimization, problems of high computational cost and resource may occur in the case that frequency response of a large sized finite element model is involved in the optimization iterations. In the suggested method model order reduction of finite element models are used to calculate both frequency response and frequency response sensitivity, therefore one can maximize the speed of numerical computation for the frequency response and its design sensitivity. As numerical examples, a semi-monocoque shell and an array-type $4{\times}4$ MEMS resonator are adopted to show the accuracy and efficiency of the suggested approach in calculating the FRF and its design sensitivity. The frequency response sensitivity through the model reduction shows a great time reduction in numerical computation and a good agreement with that from the initial full finite element model.

• Journal of the Korean Magnetics Society
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• v.23 no.3
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• pp.110-116
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• 2013

This paper proposes a sampling-based sensitivity method for dealing with electromagnetic coupled design problems effectively. The black-box modeling technique is basically applied to obtain an optimum regardless of how strong the electromagnetic, thermal and structural analyses are coupled with each other. To achieve this, Kriging surrogate models are produced in a hyper-cubic local window with the center of a current design point. Then design sensitivity values are extracted from the differentiation of basis functions which consist of the models. The proposed method falls under a hybrid optimization method which takes advantages of the sampling-based and the sensitivity-based methods. Owing to the aforementioned feature, the method can be applied even to electromagnetic problems of which the material properties are strongly coupled with thermal or structural outputs. To examine the accuracy and validity of the proposed method, a strongly nonlinear mathematical example and a coil design problem for local induction heating are tested.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.28 no.4
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• pp.425-431
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• 2015

Based on a bond-based peridynamics theory for dynamic crack propagation problems, this paper presents a design sensitivity analysis and optimization method. Peridynamics has a peculiar advantage over the existing continuum theory in the mathematical modelling of problems where discontinuities arise. For the design optimization of the crack propagation problems, a non-shape design sensitivity is derived using the adjoint variable method. The obtained adjoint sensitivity of displacement and strain energy turns out to be very accurate and efficient compared to the finite different sensitivity. The obtained design sensitivities are futher utilized to optimally control the position of bifurcation point in the design optimization of crack propagation in a plate under tension. A numerical experiment demonstrates that the optimal distribution of material density could delay the position of bifurcation.

• Journal of Korean Association for Spatial Structures
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• v.4 no.3 s.13
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• pp.77-84
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• 2004

This study presents an effective stiffness-based optimal technique to control quantitatively lateral drift for tall frameworks using composit member subject to lateral loads. To this end, displacement sensitivity depending on behavior characteristics of tall frameworks is established and approximation concept that preserves the generality of the mathematical programming and can efficiently solve large scale problems is introduced. Specifically, under the 'constant-shape' assumption, resizing techniqe of composite member is developed. Two types of 50 story frameworks are presented to illustrate the features of the quantitative lateral drift control technique proposed in this study.

• Journal of the KSME
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• v.31 no.1
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• pp.34-42
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• 1991

복잡한 형상의 서지 탱크를 CAEDS의 GEOMOD를 이용하여 내부의 리보까지 포함한 용기를 모델링하였으며, 설계 부피를 검사하고 GEOMOD와 GFEM 사이의 직접 데이터 교환을 통하여 구조 해석에 필요한 유한요소를 만들었다. 유한요소법에 최적화 이론을 적용하여 서지탱크의 두께 변화에 따른 응력의 설계 민감도를 구하였으며, 민감도를 근거로 보강 위치 및 국부적인 용기의 두께를 결정하였다. 유한요소법 프로그램(IFES, GFEM)과 솔리드 모델러(GEOMOD), 그리고 최적화 기법(IFES-Optimization)을 모두 통합하여, 최적 설계를 수행함으로써 반복되는 실험에 의한 시간과 경비를 줄임과 동시에 신뢰성 있는 설계방법 및 방향을 제시하였다.

• Proceedings of the Korean Nuclear Society Conference
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• 1998.05b
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• pp.909-914
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• 1998

제어봉구동장치는 원자력발전소에서 사용되는 기기로서, 가늘고 긴 수직 외팔보의 형상을 하고 있어 지진과 같은 동적하중에 취약한 구조를 갖고 있다. 따라서 발전소가 건설되는 지반의 다양한 지진하중에 대한 동적해석이 중요한 설계요건으로 되어 있다. 본 논문에서는 제어봉구동장치의 고유진동수를 제어하기 위한 기초연구로써 제어봉구동장치의 설계변경이 동적특성에 미치는 영향, 즉 고유진동수에 대한 설계 민감도 해석을 수행하였다. 해석 방법으로는 유한요소 프로그램의 구조 해석 결과에 변분법을 이용한 설계 민감도법을 사용하였다. 해석 결과는 유한차분에의한 결과와 일치함을 보였고, 제어봉구동장치의 초기설계 단계에서 유용한 정보로 활용할 수 있음을 확인하였다. 또한 이러한 결과는 최적설계 프로그램등과 연계되어 구조물의 설계 개선에 많은 도움을 줄 것으로 판단된다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.32 no.4
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• pp.223-231
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• 2019

A continuum-based design sensitivity analysis(DSA) method is developed for electrostatic problems. To consider high order objective functions, we use 9-node finite element basis functions for analysis and DSA methods. As the design variables are parameterized with B-spline functions, smooth boundary variations are naturally obtained. To solve mesh entanglement problems during the optimization process, a mesh regularization scheme is employed. By minimizing the Dirichlet energy functional, mesh uniformity can be automatically achieved. In numerical examples for maximizing dielectrophoresis forces, the numerical results are compared with well-known electrode geometries and the obtained characteristics are discussed.

• Proceedings of the Korea Contents Association Conference
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• 2011.05a
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• pp.549-550
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• 2011

본 논문은 다구찌 설계방법을 이용하여 이동식 정수 시스템의 구조물에 대한 최적설계 조건을 확보하기 위하여 유한요소해석을 수행하였다. 다구찌 설계방법은 이동식 정수 시스템 구조물의 설계인자 중 가장 큰 영향을 미치는 파라미터를 고찰하고 최적화 하는데 유용한 결과를 제시 하였다. 다구찌 설계방법으로 수행된 민감도 해석 결과에 따르면 이동식 정수 시스템 구조물의 최적설계에 필요한 중요 인자로 세로방향 보강빔의 수량을 보여주고 있다. 결과적으로 안전하면서 효율적인 이동식 정수 시스템 구조물을 제작하기 위한 최적설계 시 가로방향 보강빔 수량과 바닥판의 두께보다는 세로방향 보강빔의 수량이 매우 중요한 설계인자라는 해석결과를 제시하였다.

• Journal of the Korean Society of Manufacturing Technology Engineers
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• v.5 no.4
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• pp.74-81
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• 1996

This paper is to estimate sizing design sensitivity of linear and nonlinear vehicle frame structure using structural ananlysis result from ANSYS. Using design sensitivity results, optimal design of plane vehicle frame structure with buckling constraint is carried out the gradient projection method. Optimal design results are compares gradient projection method resrult with SUMT result.

• Journal of Korean Association for Spatial Structures
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• v.5 no.3 s.17
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• pp.123-130
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• 2005

This study presents an effective stiffness-based optimal technique to control quantitatively lateral drift and evaluate the structural behavior characteristics and efficiency for tall outrigger system subject to lateral loads. To this end, displacement sensitivity depending on behavior characteristics of outrigger system is established and approximation concept that preserves the generality of the mathematical programming and can efficiently solve large scale problems is introduced. Specifically, under the 'constant-shape' assumption, resizing technique of member is developed. Four types of 50 story frameworks are presented to illustrate the features of the quantitative lateral drift control technique proposed in this study.