• 제목/요약/키워드: optimality criteria method

검색결과 57건 처리시간 0.024초

주어진 고유주파수를 갖는 구조물의 위상최적설계 (Topology Design of a Structure with a Specified Eigenfrequency)

  • 이종환;민승재
    • 대한기계학회논문집A
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    • 제27권7호
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    • pp.1210-1216
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    • 2003
  • Topology optimization is applied to determine the layout of a structural component with a specified frequency by minimizing the difference between the specified structural frequency and a given frequency. The homogenization design method is employed and the topology design problem is solved by the optimality criteria method. The value of a weighting factor in the optimality criteria plays an important role in this topology design problem. The modified optimality criteria method approximated by using the binomial expansion is suggested to determine the suitable value of the weighting factor, which makes convergence stable. If a given frequency is set as an excited frequency, it is possible to avoid resonance by moving away the specified structural frequency from the given frequency. The results of several test problems are compared with previous works and show the validity of the proposed algorithm.

최적조건법에 의한 위상 최적화 연구 (Topology Optimization using an Optimality Criteria Method)

  • 김병수;서명원
    • 한국자동차공학회논문집
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    • 제7권8호
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    • pp.224-232
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    • 1999
  • Topology optimization has evolved into a very efficient concept design tool and has been incorporated into design engineering processes in many industrial sectors. In recent years, topology optimization has become the focus of structural design community and has been researched and applied widely both in academia and industry. There are mainly tow approaches for topology optimization of continuum structures ; homogenization and density methods. The homogenization method is to compute is to compute an optimal distribution of microstructures in a given design domain. The sizes of the micro-calvities are treated as design variables for the topology optimization problem. the density method is to compute an optimal distribution of an isotropic material, where the material densities are treated as design variables. In this paper, the density method is used to formulate the topology optimization problem. This optimization problem is solved by using an optimality criteria method. Several example problems are solved to show the usefulness of the present approach.

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원공배열 결정에 최적기준법에 의한 전동차 크로스 빔의 위상최적화에 관한 연구( I ) (A Study on the Topology Optimization of Electric Vehicle Cross beam using an Optimality Criteria Method in Determination of Arranging Hole( I ))

  • 전형용
    • 한국정밀공학회지
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    • 제19권11호
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    • pp.137-145
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    • 2002
  • Electric vehicle body has to be subjected to uniform load and requires auxiliary equipment such as air pipe and electric wire pipe. Especially, the cross beam supports the weight of passenger and electrical equipments. a lightweight vehicle body is salutary to save operating costs and fuel consumption. Therefore this study is to perform the size and the shape optimization of crossbeam for electric vehicle using the method of topology optimization to introduce the concept of homogenization based on optimality criteria method which is efficient for the problem having the number of design variables and a few boundary condition. this provides the method to determine the optimum position and shape of circular hole in the cross beam and then can achieve the optimal design to reduce weight.

처짐과 응력제약(應力制約)을 받는 평면(平面) 뼈대의 최적설계(最適設計) (Optimum Design of Plane Frames Subject to Displacement and Stress Constraints)

  • 정영식;이재환
    • 대한토목학회논문집
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    • 제7권1호
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    • pp.23-31
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    • 1987
  • 본(本) 연구(硏究)는 처짐과 응력제약(應力制約)을 받는 평면(平面)뼈대의 정확(正確)한 최적설계(最適設計)를 얻을 수 있는 Optimality Criteria 방법(方法)을 제시(提示)하고 있다. 여기서 평면(平面) 뼈대의 맨 윗층의 횡변위(橫變位)만을 거동적(擧動的) 제약(制約)에 포함(包含)시킴으로써 수학적(數學的)으로 엄격(嚴格)하면서도 효율적(効率的)인 방법(方法)이 되도록 하였다. 부재(部材)의 휨응력(應力)은 fully-stressed-design의 개념(槪念)에 근거(根據)하여 부차적(副次的) 제약(制約)으로만 취급(取扱)되었으나 최종설계(最終設計)의 최적성(最適性)을 判별(判別)하기 위하여 최종(最終) 단계(段階)에서 이들을 모두 거동적(擧動的) 제약(制約)으로 취급(取扱)한 새로운 Optimality Criteria를 유도(誘導)하고 이의 만족(滿足) 여부(與否)를 알아 보도록 하였다. 이 방법(方法)은 단순(單純)하고 효율적(効率的)이면서도 엄격(嚴格)한 Optimality Criteria를 채용(採用) 함으로써 보다 나은 설계(設計)를 구(求)할 수 있음을 예제(例題)를 통(通)하여 보였다.

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Wiener Process 및 D-Optimality 조건 하에서 계단형 가속열화시험 설계 (Design of Step-Stress Accelerated Degradation Test based on the Wiener Process and D-Optimality Condition)

  • 김헌길;박재훈;성시일
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제17권2호
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    • pp.129-135
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    • 2017
  • Purpose: This article provides step-stress accelerated degradation test (ADT) plans based on the Wiener process. Method: Step-stress levels and the stress change times are determined based on the D-optimality criteria to develop test plans. Further, a simple grid search method is provided for obtaining the optimal test plan. Results: Based on the solution procedure, ADT plans which include the stress levels and change times are developed for conducting the reliability test. Conclusion: Optimal step-stress ADT plans are provided for the case where the number of measurements is small.

A hybrid simulated annealing and optimality criteria method for optimum design of RC buildings

  • Li, Gang;Lu, Haiyan;Liu, Xiang
    • Structural Engineering and Mechanics
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    • 제35권1호
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    • pp.19-35
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    • 2010
  • This paper proposes a hybrid heuristic and criteria-based method of optimum design which combines the advantages of both the iterated simulated annealing (SA) algorithm and the rigorously derived optimality criteria (OC) for structural optimum design of reinforced concrete (RC) buildings under multi-load cases based on the current Chinese design codes. The entire optimum design procedure is divided into two parts: strength optimum design and stiffness optimum design. A modified SA with the strategy of adaptive feasible region is proposed to perform the discrete optimization of RC frame structures under the strength constraints. The optimum stiffness design is conducted using OC method with the optimum results of strength optimum design as the lower bounds of member size. The proposed method is integrated into the commercial software packages for building structural design, SATWE, and for finite element analysis, ANSYS, for practical applications. Finally, two practical frame-shear-wall structures (15-story and 30-story) are optimized to illustrate the effectiveness and practicality of the proposed optimum design method.

케이슨 구조계의 설계 최적성 평가 (Methods of Design Optimality Evaluation for Caisson Structural Systems)

  • 최민희;류연선;조현만;나원배
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.89-96
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    • 2005
  • Numerical procedure of design optimality evaluation is studied for caisson structural systems. Two kinds of evaluation methods can be considered; mathematical optimality criteria method (MOCM) and numerical optimization method (NOM). The choice of the method depends on the available information of the system MOCM can be used only when the information of all function values, gradients and Lagrange multipliers is available, which may not be realistic in practice. Therefore, in this study, NOMs are applied for the structural optimality evaluation, where only design variables are necessary. To this end, Metropolis genetic algorithm (MGA) is advantageously used and applied for a standard optimization model of caisson composite breakwater. In the numerical example, cost and constraint functions are assumed to be changed from the orignal design situation and their effects are evaluated for optimality. From the theoretical consideration and numerical experience, it is found that the proposed optimality evaluation procedure with MGA-based NOM is efficient and practically applicable.

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GA를 이용한 Form parameter 방법에 의한 초기선형 생성 (Preliminary Hull Form Generation by Form Parameter Method using GA)

  • 김수영;신성철;신경엽
    • 한국지능시스템학회논문지
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    • 제12권1호
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    • pp.44-51
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    • 2002
  • 본 연구는 선형 생성을 위하여 목적함수로서 fairness 기준을 도입하고 설계변수를 B-spline 곡선의 조정점으로 하며 설계자에 의해서 주어지는 기하학적 제약조건을 만족하도록 하는 최적화를 수행하도록 하였다 본 연구에서는 최적화 방법으로서 GA(Genetic Algorithm)와 최적성 기준(optimality criteria)을 병행하였다.

조정점 최적탐색에 의한 Form Parameter 방법에 관한 연구 (A Study on Form Parameter Method by Optimum Vertex Point Search)

  • 김수영;신성철;김덕은
    • 대한조선학회논문집
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    • 제39권4호
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    • pp.60-65
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    • 2002
  • 본 연구는 Form Parameter를 만족하는 선형 생성 과정을 최적화 과정으로 취급하였다. 목적함수는 fairness 기준을 도입하고 설계변수는 B-spline 곡선의 조정점으로 하며 제약조건은 설계자에 의해서 주어지는 기하학적 형상으로 하였다. 최적화 방법은 GA(Genetic Algorithm)와 최적성 기준(optimality criteria)을 병행하였다.

응력량을 이용한 요소제거법의 위상최적화 (Topology Optimization of Element Removal Method Using Stress Density)

  • 임오강;이진식;김창식
    • 한국전산구조공학회논문집
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    • 제16권1호
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    • pp.1-8
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    • 2003
  • 위상최적설계는 개념설계에 적합하며, 제품의 설계에서 사용되어지고 있다. 전통적인 위상최적화는 균질화법과 최적조건법을 사용해 왔다. 균질화법은 구멍으로 구성된 구조물과 강성행렬사이의 관계를 연결해주는데 사용되며, 최적조건법은 부피분율을 유지하며 설계변수의 개선에 사용되어진다. 전통적인 위상최적설계는 수렴성이 좋은 장점은 있지만 수렴시간이 많이 걸린다는 단점이 있었다. 이 문제를 해결하는 하나의 방법으로 평균 응력량을 기준으로 요소를 제거하는 요소제거법을 제시하였다. 예제에서 수렴속도가 향상됨을 알 수 있었다.