• Title/Summary/Keyword: 직교배열설계법

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Evaluation of the Degree of the Orthogonality of 2-level Resolution-V Designs Constructed by Balanced Arrays (균형배열에 의해 설계되는 2-수준 Resolution-V 실험법의 직교성 평가측도)

  • Kim, Sang-Ik
    • Communications for Statistical Applications and Methods
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    • v.15 no.2
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    • pp.235-244
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    • 2008
  • Balanced arrays which are generalized orthogonal arrays, introduced by Chakravarti (1956) can be used to construct the fractional factorial designs. Especially for 2-level factorials, balanced arrays with strength 4 are identical to the resolution-V fractional designs. In this paper criteria for evaluation the degree of the orthogonality of balanced arrays of 2-levels with strength 4 are developed and some application methods of the suggested criteria are discussed. As a result, in this paper, we introduce the constructing methods of near orthogonal saturated balanced resolution-V fractional 2-level factorial designs.

A Comparative Study on Surrogate Models and Sensitivity Analysis for Structure Design of Automatic Salt Collector Using Orthogonal Array Experiment (직교배열실험을 이용한 자동채염기 구조설계의 민감도해석과 대리모델 비교 연구)

  • Song, Chang Yong;Lee, Dong-Jun
    • Journal of Convergence for Information Technology
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    • v.10 no.7
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    • pp.138-146
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    • 2020
  • The paper deals with comparative study of characteristics of surrogate models and sensitivity evaluation using design of experiments in order to enhance and analysis the structure design of an automatic salt collector under various design load conditions. Orthogonal array design based on numerical analysis was used for the design of experiments. The thickness sizing variables of main structure member were considered the design factors, and the output responses were selected from the strength performances as well as the weight. The quantitative effects on responses for each design factor were evaluated from the orthogonal array experiment. Optimum design case was also identified to improve the strength performances with weight minimization. Using the orthogonal array experiment. various surrogate models such as response surface model, Kriging model, and Chebyshev orthogonal polynomial were generated. The orthogonal array experiment results were validated by the surrogate modeling results. The most suitable surrogate model was the response surface model for the exploration of design space of the automatic salt collector.

Design Strategy of Stiffened Composite Shell Structure to Improve the Buckling Strength Using Numerical Experiments Based on Orthogonal Arrays (보강된 복합재 쉘구조의 좌굴강도 개선을 위한 직교배열 이용 설계방법)

  • 구정서;권오건;최진민;권영두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.514-526
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    • 1992
  • 본 연구에서는 Taguchi 방법에 사용된 직교배열 이용 실험 계획법에 의한 최 적화 방법으로 보강된 복합재 쉘 구조의 좌굴강도 최적화를 수행하고 타당성을 고찰하 였다.한 방향의 압축하중을 받는 단순 지지된 복합재 평판과 Cut-out을 가진 원통 형 판넬의 보강재 및 섬유방향 최적 설계에 본 방법을 적용시켜 본 결과, 현저한 설계 개선과 아울러 각 설계 변수가 좌굴강도에 미치는 영향을 파악할 수 있었다. 특히 이 방법은 함수의 미분값을 이용한 민감도 해석대신에 함수값의 평균치 분석(ANOM)및 분산 분석(ANOVA)을 사용하기 때문에 설계변수의 변화에 덜 민감한 설계를 얻을 수 있 다.

Structure Design Sensitivity Analysis of Active Type DSF for Offshore Plant Float-over Installation Using Design of Experiments (실험계획법을 이용한 해양플랜트 플로트오버 설치 작업용 능동형 DSF의 구조설계 민감도 해석)

  • Kim, Hun-Gwan;Song, Chang Yong;Lee, Kangsu
    • Journal of Convergence for Information Technology
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    • v.11 no.2
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    • pp.98-106
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    • 2021
  • The paper deals with comparative study on sensitivity analysis using various methods regarding to design of experiments for structure design of an active type DSF (Deck support frame) that was developed for float-over installation of offshore plant. The thickness sizing variables of structure member of the active type DSF were considered the design factors. The output responses were defined from the weight and the strength performances. Various methods such as orthogonal array design, Box-Behnken design, and Latin hypercube design were applied to the comparative study. In order to evaluate the approximation performance of the design space exploration according to the design of experiments, response surface method was generated for each design of experiment, and the accuracy characteristics of the approximation were reviewed. The design enhancement results such as numerical costs, weight minimization, etc. via the design of experiment methods were compared to the results of the best design. The orthogonal array design method represented the most improved results for the structure design of the active type DSF.

Detection of Influential Interaction Effects in Parameter Design (파라미터 설계법에서 교호작용효과의 검출방법)

  • Sang Ik Kim
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.201-211
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    • 1994
  • Ignoring interaction effects has been pointed out to be one of serious drawbacks in analysis of the parameter designs which are constructed by using orthogonal arrays. In this paper a detecting procedure of influential 2-factor inteactions with minimum expeimental runs is described, when each contrl factor has two levels. The presented method is based on the near orthogonal arrays which are very similar to orthogonal arrays in the statistical structure. And those arrarys are the same as trace-optimal balanced saturated two-level fractional factorial designs of resolution V.

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A Design Methodology with Orthogonal Arrays Using Experiments and Computer Simulations (실험과 컴퓨터 모사 결과를 동시에 이용하여 직교배열표로 설계하는 방법)

  • Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.7
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    • pp.885-895
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    • 2004
  • Generally, automatic design is carried out with computer simulation and the simulation models are established by investigating the correlations between the simulation and real experiments. Therefore, the experiment results are utilized as complimentary data although they are considered to be precise. Orthogonal arrays have been adopted for discrete design. A method is proposed to directly exploit the experiment results in the design process with orthogonal arrays. Experiments are allocated to some rows of an orthogonal array and computer simulations are allocated to the others. A rule for the allocation is found to keep the orthogonality. Error analysis of the design results is performed. Mathematical examples are made to verify the validity of the proposed method. Error models are defined with the examples and the design solutions from the examples are discussed.

A Study on the Sequential Design Domain for the Approximate Optimum Design (근사 최적설계를 위한 순차 설계영역에 관한 연구)

  • 김정진;이진식;임오강
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.3
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    • pp.339-348
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    • 2001
  • More often a commercial package for the structural analysis is necessary in the structural optimum design. In this case the task of combining the package with an optimization program must be required, hut it is not so simple because interchanging some data between them is difficult. Sequential approximate optimization is currently used as a natural way to overcome the hard task. If sequential approximate optimization has wide side constraints that the lower limit of design variables is very small and their upper limit is very large, it is not so easy to obtain approximated functions accurately for the whole design domain. This paper proposes a sequential design domain method, which is very useful to carry out sequential approximate optimization in this case. In this paper, the response surface methodology is used to obtain approximated functions and the orthogonal array is used for design of experiments. The sequential approximate optimization of 3-bar and 10-bar trusses is demonstrated to verify the reliability of the sequential design domain method.

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Development of Computational Orthogonal Array based Fatigue Life Prediction Model for Shape Optimization of Turbine Blade (터빈 블레이드 형상 최적설계를 위한 전산 직교배열 기반 피로수명 예측 모델 개발)

  • Lee, Kwang-Ki;Han, Seung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.5
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    • pp.611-617
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    • 2010
  • A complex system involves a large number of design variables, and its operation is non-linear. To explore the characteristics in its design space, a Kriging meta-model can be utilized; this model has replaced expensive computational analysis that was performed in traditional parametric design optimization. In this study, a Kriging meta-model with a computational orthogonal array for the design of experiments was developed to optimize the fatigue life of a turbine blade whose behavior under cyclic rotational loads is significantly non-linear. The results not only show that the maximum fatigue life is improved but also indicate that the accuracy of computational analysis is achieved. In addition, the robustness of the results obtained by six-sigma optimization can be verified by comparison with the results obtained by performing Monte Carlo simulations.

모니터의 시장불량률 감소를 위한 신뢰성 시험법 개발

  • 김준홍;권수호
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.04a
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    • pp.169-174
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    • 2000
  • 사용환경에서 발생하는 PC 모니터의 고장을 실험실에서 재현하기 위해 Power On/off, DPM 모드, 사용전압, Surge 유입, Torque 강도 등의 인자에 대해 여러 가지수준으로 직교배열표에 의해 실험한 결과를 토대로 시험 프로세스를 정립하여 제품설계 및 신제품 개발에 이용하였다. 실험결과와 SN 비 계산에 의하면 모니터 수평출력 TR의 고장에 대한 요인은 Mode 절환, Torque, h$_{FE}$ 산포에 유의한 영향이 있었으며, 이에 대한 IQC에서의 부품시험법, Torque 관리, TR 설계 Spec 변경을 제안하였다.

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Development of an Optimization Algorithm Using Orthogonal Arrays in Discrete Space (직교배열표를 이용한 이산공간에서의 최적화 알고리즘 개발)

  • Yi, Jeong-Wook;Park, Joon-Seong;Lee, Kwon-Hee;Park, Gyung-Jin
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.408-413
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    • 2001
  • The structural optimization is carried out in the continuous design space or discrete design space. Methods for discrete variables such as genetic algorithms are extremely expensive in computational cost. In this research, an iterative optimization algorithm using orthogonal arrays is developed for design in discrete space. An orthogonal array is selected on a discrete design space and levels are selected from candidate values. Matrix experiments with the orthogonal array are conducted. New results of matrix experiments are obtained with penalty functions for constraints. A new design is determined from analysis of means(ANOM). An orthogonal array is defined around the new values and matrix experiments are conducted. The final optimum design is found from iterative process. The suggested algorithm has been applied to various problems such as truss and frame type structures. The results are compared with those from a genetic algorithm and discussed.

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