• Proceedings of the Computational Structural Engineering Institute Conference
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• 2009.04a
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• pp.408-411
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• 2009

본 논문에서는 아이소-지오메트릭 해석 방법을 사용하여 응력 제한 조건이 있는 형상 최적설계 문제를 다룬다. 아이소-지오메트릭 해석 방법은 해석에 사용되는 기저 함수와 기하 모델을 구성하는 함수가 일치하여 기하학적으로 정확하기 때문에 설계민감도 해석 및 형상 최적설계에 있어서 강점이 있다. 많은 최적화 문제에서 최대 강성을 확보하는 방향으로 최적화가 진행되고 있는데 이때 응력 조건을 고려하지 않는 경우가 대부분이다. 응력 제한조건이 있는 구조물에서 아이소-지오메트릭 형상 최적설계를 적용시켜 봄으로써 그 효용성을 확인하였다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.25 no.6
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• pp.497-504
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• 2012

Finite element analysis is to approximate a geometry model developed in computer-aided design(CAD) to a finite element model, thus the conventional shape design sensitivity analysis and optimization using the finite element method have some difficulties in the parameterization of geometry. However, isogeometric analysis is to build a geometry model and directly use the functions describing the geometry in analysis. Therefore, the geometric properties can be embedded in the NURBS basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. In this study, the isogeometric structural analysis and shape design sensitivity analysis in the generalized curvilinear coordinate(GCC) systems are discussed for the curved geometry. Representing the higher order geometric information, such as normal, tangent and curvature, yields the isogeometric approach to be the best way for generating exact GCC systems from a given CAD geometry. The developed GCC isogeometric structural analysis and shape design sensitivity analysis are verified to show better accuracy and faster convergency by comparing with the results obtained from the conventional isogeometric method.

• Computational Structural Engineering
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• v.7 no.2
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• pp.147-153
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• 1994

A method for shape design sensitivity analysis for axisymmetric shells of general shapes is developed. The basic approach is to divide the structures into many segments : For each of the segments, the formula for a shallow arch or shell can be applied and the results assembled. To interconnect those segments, the existing sensitivity formula, obtained for a variation only in the direction perpendicular to the plane on which the structure is mapped, has been extended to include a variation normal to the middle surface. The method follows the adjoint variable approach based on the material derivative concept as established in the literature. Numerical examples are taken to illustrate the method and the applicability to practical design problems.

• Journal of Ocean Engineering and Technology
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• v.11 no.1
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• pp.3-9
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• 1997

In this paper, design sensivity of plate natural frequency is computed for thickness design variables. Once the variational equation is derived from Lagrange quation using the virtual displacement, governing energy bilinear form is obtained and sensivity equation is formulated through the first variation. Natural frequency is obtained using the commercial FEM code and the accuracy of sensivity is verified by finite difference. The accuracy of natural frequency and sensivity improves for the fine mesh model.

• Transactions of the Korean Society of Mechanical Engineers
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• v.17 no.6
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• pp.1478-1485
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• 1993

A shape optimization problem is formulated to determine the optimal position of heating lines in a compression molding die. The objective of the problem is that the cavity surface would be maintained by a prescribed uniform temperature. A boundary integral equation for the sensitivity of the temperature in terms of hole position is derived using the method of shape design sensitivity analysis. The boundary element method is employed to analyze the temperature and sensitivity field of the die. The sensitivity calculation algorithm is incorporated in an optimization routine. To demonstrate a numerical implementation, an example problem arising in thermal design of a compression molding die is dealt with, showing that the number of heating lines chosen for the die strongly affects the ultimate uniformity of the cavity surface temperature.

• Journal of Korean Society of Steel Construction
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• v.12 no.1 s.44
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• pp.93-102
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• 2000

Substructuring-based hierarchical approach for design analysis and optimization of structural frames is presented in this study. The conceptual framework of this method is in the hierarchical modeling for design processes as well as structural systems and the methodology combining substructuring analysis and multilevel optimization. Mathematical models for analysis and synthesis are established on the common basis of substructuring systems. Modularized behavioral analysis, design sensitivity analysis and optimization are linked and integrated on the mathematical and structural basis of substructuring. Substructures are coordinated with the active constraints for system level and the weight ratio criteria. Numerical examples for test frames show the validity and effectiveness of the present approach.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.27 no.2
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• pp.63-70
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• 2014

Design sensitivity analysis and topology design optimization for a piezoelectric crystal resonator are developed. The piezoelectric crystal resonator is deformed mechanically when subjected to electric charge on the electrodes, or vice versa. The Mindlin plate theory with higher-order interpolations along thickness direction is employed for analyzing the thickness-shear vibrations of the crystal resonator. Thin electrode plates are masked on the top and bottom layers of the crystal plate in order to enforce to vibrate it or detect electric signals. Although the electrode is very thin, its weight and shape could change the performance of the resonators. Thus, the design variables are the bulk material densities corresponding to the mass of masking electrode plates. An optimization problem is formulated to find the optimal topology of electrodes, maximizing the thickness-shear contribution of strain energy at the desired motion and restricting the allowable volume and area of masking plates. The necessary design gradients for the thickness-shear frequency(eigenvalue) and the corresponding mode shape(eigenvector) are computed very efficiently and accurately using the analytical design sensitivity analysis method using the eigenvector expansion concept. Through some demonstrative numerical examples, the design sensitivity analysis method is verified to be very efficient and accurate by comparing with the finite difference method. It is also observed that the optimal electrode design yields an improved mode shape and thickness-shear energy.

• Transactions of the Korean Society of Mechanical Engineers
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• v.17 no.1
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• pp.11-20
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• 1993

Sensitivity information is required in the optimal design process. In structural optimization, sensitivity calculation is a bottleneck due to its complexities and expensiveness. Various schemes have been proposed for the calculation. Analytic and finite difference methods are the most popular at the present time. However, they have advantages and disadvantages in different ways. Semi-anayltic method has been suggested to overcome the difficulties. In spite of the excellency, the semi-analytic method has been found to possess numerical error quite much with respect to shape variables. In this research, the error from each method is evaluated and compared using a shape variable. A two-dimensional beam is selected for an example since it has mathematical solution. An efficient method is suggested for the structural optimization which utilizes finite element method.

• Proceedings of the Optical Society of Korea Conference
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• 2003.02a
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• pp.104-105
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• 2003

최근 열상장비의 수요가 점차 증가하고 있으며, 고성능 고밀도 적외선 검출기의 개발이 진전되면서 고 분해능 열상카메라의 개발이 가속화되고 있는 실정이다. 본 연구에서는 8$\mu\textrm{m}$~12$\mu\textrm{m}$ 파장대역에서 두 가지로 배율전환이 가능한 열상카메라를 설계하고 이에 대한 광학계의 민감도(sensitivity)를 분석하였다. 민감도 분석이란 이론적으로 설계된 광학계에 인위적으로 제작 및 조립상의 오차를 발생시켜서 광학계의 성능 변화를 예측하고 해석하는 일이다. (중략)

• Transactions of the Korean Society of Mechanical Engineers
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• v.16 no.3
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• pp.443-452
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• 1992

본 연구에서는 소성가공 공정의 최적설계를 위한 새로운 접근 방법이 소개 된다.이방법은 소성가공 공정의 유한요소해석 기술과 기계시스템의 최적설계 기술 에 바탕을 두고 있다. 벌칙 강소성유한요소법, 정상 상태의 소성가공 공정(steady -state metal forming process)을 위한 최적설계 문제의 수식화, 설계민감도의 해석 방법, 설계민감도의 정확성에 관한 고찰, 구배투영법(gradient projection emthod)등 이 본 논문에서 상세하게 소개된다.