• Title/Summary/Keyword: 최적설계 정식화

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최적설계의 개념

  • 이태희
    • CDE review
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    • v.10 no.1
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    • pp.29-38
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    • 2004
  • 최적화(optimization)는 “최선”이란 의미의 라틴어 “OPTIMUS”을부터 유래되었다. 공학에서 최적설계는 가능하면 짧은 시간에 최고성능을 갖는 제품을 값싸게 생산할 수 있는 설계로 정의한다. 2차 세계대전 이후 가볍고 성능이 우수한 항공기 구조물의 설계를 위하여 시작한 현대 최적설계 기법은 컴퓨터 계산능력의 발전과 함께 실용범위를 점차 확대하고 있다. 본 특집에서는 최적설계의 기본개념을 소개하기 위하여 최적설계의 정식화, 도해 최적화, 최적화의 수치적 기법, EXCEL을 이용한 최적설계 등을 간략하게 소개한다. (중략)

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Optimum Life-Cycle Cost Design of Steel Bridges (강교의 생애주기비용 최적설계)

  • Cho, Hyo-Nam;Lee, Kwang-Min;Kim, Jung-Ho;Choi, Young-Min;Bong, Youn-Jong
    • Journal of Korean Society of Steel Construction
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    • v.15 no.4 s.65
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    • pp.341-358
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    • 2003
  • This paper proposed a general formulation of Life-Cycle Cost (LCC) models and LCC effective design system models of steel bridges suitable for practical implementation. An LCC model for the optimum design of steel bridges included initial cost and direct/indirect rehabilitation costs of a steel bridge as well as repair/replacement costs, loss of contents or fatality and injury losses, road user costs, and indirect socioeconomic losses. The new road user cost model and regional socioeconomic losses model were especially considered because of the traffic network. Illustrative design examples of an actual steel box girder and an orthotropic steel deck bridge were discussed to demonstrate the LCC effectiveness of the design of steel bridges. Based on the results of the numerical investigation, the LCC-effective optimum design of steel bridges based on the proposed LCC model was found to lead to a more rational, economical, and safer design compared with the initial cost-optimum design and the conventional code-based design.

Shape Design Optimization of Structure-Fluid Interaction Problems using NURBS Surfaces (NURBS 곡면을 이용한 구조-유체 연성문제의 형상 최적설계)

  • Jang, Hong-Lae;Kim, Min-Geun;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.508-511
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    • 2010
  • 본 논문에서는 정상상태 유체-구조 연성문제를 연속체 기반으로 정식화하고 유한요소법을 이용하여 완전 연성된 해를 구하였다. 대 변형을 고려하기 위하여 토탈 라그란지안 정식화를 사용하였으며 유체 및 구조의 비선형성이 고려되었다. 유체와 구조 영역의 형상을 NURBS 곡면을 이용하여 매개화하여 표현하였으며, 형상 최적화를 위해 효율적인 설계민감도 해석법인 애조인 기법을 이용하여 압력, 속도, 변위 등에 대한 설계민감도를 구하였다. 이를 이용하여 최소 컴플라이언스를 갖게 하는 구조물 내부의 유체영역의 설계 등의 수치예제를 통하여 개발된 방법론의 타당성을 확인하였다.

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Design Sensitivity Analysis of the Second Order Perturbed Eigenproblems for Random Structural System (불확정 구조계 고유치에 관한 이차 민감도 해석)

  • 임오강;이병우
    • Computational Structural Engineering
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    • v.7 no.3
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    • pp.115-122
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    • 1994
  • Design sensitivity analysis of the second order perturbed eigenproblems for random structural system is presented. Dynamic response of random system including uncertainties for the design variable is calculated with the first order and second order perturbation method to original governing equation. In optimal design methods, there is fundamental requirement for design gradients. A method for calculating the sensitivity coefficients is developed using the direct differentiation method for the governing equation and first order and second order perturbed equation.

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Optimal Design of L1B4 Linear Ultrasonic Motor using Evolutionary Strategy Algorithm (진화 전략 알고리즘을 이용한 L1B4 선형 초음파 모터의 형상 최적 설계)

  • Rho, Jong-Seok;Jung, Hyun-Kyo
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.07b
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    • pp.619-622
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    • 2004
  • 본 논문에서는 진화 전략 알고리즘(Evolution Strategy Algorithm)를 이용한 L1B4 선형 초음파 모터(L1B4-USM)의 최적 설계 기법을 제시하고자 한다. 유한요소법(Finite Element Method)을 정식화 하였고, 2차원 유한요소법을 L1B4-USM의 임피던스와 모드의 해석을 통해 검증 하였다. 검증된 2차원 유한 요소 해석을 통한 선형 초음파 모터의 임피던스 해석, mode 해석 및 최적 모드의 탐색 프로그램, 자동 요소분할 프로그램 그리고 진화 전략 알고리즘을 수행하였다. 이를 통해 선형 초음파 모터의 L1모드, B4 모드 각각이 발생하는 공진주파수를 일치시키며, 최대 속도를 얻기 위한 최적 설계기법을 완성 하였고, 최적화된 형상의 L1B4-USM를 설계하였다.

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Aerodynamic Optimization of Helicopter Blade Planform (II): Applications to Design Optimization (헬리콥터 블레이드 플랜폼 공력 최적설계(II): 최적설계 기법의 적용)

  • Kim, Chang-Joo;Park, Soo-Hyung;Shin, Ki-Cheol;Kim, Seung-Ho;Chung, Ki-Hoon;Kim, Seung-Bum
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.11
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    • pp.1060-1066
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    • 2010
  • This paper focuses on the application of the proposed aerodynamic optimization techniques to design the blade planform of helicopter rotors. The design problems are formulated to maximize the hover figure of merit and the equivalent lift-to-drag ratio for high forward speed by optimally distributing airfoils, twist, and chord along the blade span. The numerical characters are investigated by solving various design problems. The advantages and limitations with the present design approach and the present modeling features for performance prediction are discussed. The recommendations for the required model refinements to get more accurate optimal configurations are addressed as future research areas.

Life-Cycle Cost Optimization of Steel Box Girder Bridges (강상자형교의 생애주기비용 최적설계)

  • 조효남;민대홍;권우성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.4
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    • pp.557-566
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    • 2002
  • This paper presents an optimum deck and girder system design for minimizing the life-cycle cost(LCC) of steel box girder bridges. The problem of optimum LCC design of steel box girder bridges is formulated as that of minimization of the expected total LCC that consists of initial cost, maintenance cost and expected retrofit costs for strength, deflection and crack. To demonstrate the cost effectiveness of LCC design of steel box girder bridges, the LCC optimum design is compared with conventional design method for steel box girder bridges. From the numerical investigations, it may be positively stated that the optimum design of steel box girder bridges based on LCC will lead to mote rational, economical and safer design.

Optimum Design of Steel-Deck System for Two-Story Roads (2층도로용 강구조 덱 시스템의 최적설계)

  • Cho, Hyo Nam;Min, Dae Hong;Kim, Hyun Woo
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.553-564
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    • 1998
  • Recently, more and more steel-deck structural system for two story roads has been adopted as a solution against traffic congestion in urban area, mainly because of fast construction, reduced self-weight, higher stiffness and efficient erection compared to that of concrete decks. The main objective is to study on the unit-elective optimal type and proportioning of a rational steel-deck system for two story roads using an optimum design program specifically developed for steel-deck systems. The objective function for the optimization is formulated as a minimum cost design problem. The behavior and design constraints are formulated based on the ASD(Allowable Stress Design) criteria of the Korean Bridge Design Code. The optimum design program developed in this study consists of two steps - the first step for the optimization of the steel box or plate girder viaducts, and the second step for the optimum design of the steel-decks with closed or open ribs. A grid model is used as a structural analysis model for the optimization of the main girder system, while the analysis of the deck system is based on the Pelican-Esslinger method. The SQP(Sequential Quadratic Programming) is used as the optimization technique for the constrained optimization problem. By using a set of application examples, the rational type related to the optimized steel-deck system designs is investigated by comparing the cost effectiveness of each type. Based on the results of the investigation it may be concluded that the optimal linear box girder and deck system with closed ribs may be utilized as one of the most rational and economical viaducts in the construction of two-story roads.

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An Application of ALM-BFGS Algorithm for the Optimum Section Design of Composite Breakwaters (ALM-BFGS 알고리즘을 이용한 혼성방파제의 최적단면설계에 관한 연구)

  • Seo, Kyung Min;Ryu, Yeon Sun;Ryu, Cheong Ro
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.1
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    • pp.197-205
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    • 1992
  • For the optimal design of composite breakwaters, a computer program PROCOBRA is developed using the combined ALM-BFGS algorithm. A model formulation for the section design optimization problem of composite breakwaters is proposed where a concept of subsectional weighting factors is introduced in the objective function. Usability of the program is verified through a numerical example. From the study, it is found that the ALM-BFGS method is reliable and can be effectively applied for the design optimization of coastal structures. Compared with conventional design process, it is proved that the economical design of composite breakwaters is possible.

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