• 제목/요약/키워드: multiple solution

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Piecewise exact solution for seismic mitigation analysis of bridges equipped with sliding-type isolators

  • Tsai, C.S.;Lin, Yung-Chang;Chen, Wen-Shin;Chiang, Tsu-Cheng;Chen, Bo-Jen
    • Structural Engineering and Mechanics
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    • 제35권2호
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    • pp.205-215
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    • 2010
  • Recently, earthquake proof technology has been widely applied to both new and existing structures and bridges. The analysis of bridge systems equipped with structural control devices, which possess large degrees of freedom and nonlinear characteristics, is a result in time-consuming task. Therefore, a piecewise exact solution is proposed in this study to simplify the seismic mitigation analysis process for bridge systems equipped with sliding-type isolators. In this study, the simplified system having two degrees of freedom, to reasonably represent the large number of degrees of freedom of a bridge, and is modeled to obtain a piecewise exact solution for system responses during earthquakes. Simultaneously, we used the nonlinear finite element computer program to analyze the bridge responses and verify the accuracy of the proposed piecewise exact solution for bridge systems equipped with sliding-type isolators. The conclusions derived by comparing the results obtained from the piecewise exact solution and nonlinear finite element analysis reveal that the proposed solution not only simplifies the calculation process but also provides highly accurate seismic responses of isolated bridges under earthquakes.

이중분기 확장을 통한 등치선 삼각화의 다중분기 알고리즘 (A Multiple Branching Algorithm of Contour Triangulation by Cascading Double Branching Method)

  • 최영규
    • 한국정보과학회논문지:시스템및이론
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    • 제27권2호
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    • pp.123-134
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    • 2000
  • 등치선(wire-frame contour)으로 표현된 물체의 볼륨정보에서부터 3차원 표면을 재구성하는 방법을 제안한다. 등치선 삼각화법(contour triangulation)이라고도 하는 이 방법에서 가장 문제가 되는 것이 인접 단층사이에서 표면이 분기하는 경우에 발생하는데, 이것은 하나의 등치선이 인접한 층의 두 개이상의 등치선과 연결되는 형태로 나타나며, 표면 생성시의 많은 모호성을 발생시킨다. 본 논문에서는 이러한 분기문제를 가장 일반적으로 발생하는 이중분기문제와 그 이상의 다중분기문제로 구분하고, 먼저 이중 분기 알고리즘을 제안하였으며, 다중분기문제를 다수의 이중분기문제로 단순화하는 다중분기 알고리즘을 제안하였다. 제안된 이중분기 알고리즘은 모 등치선을 분할하는 방법을 이용하였는데, 먼저 해협다각형을 정의하고 이를 삼각분할하여 분할선을 구하는 것에 바탕을 두고 있다. 이 방법은 이중분기가 매우 복잡하게 나타나는 경우에도 잘 적용이 되며, 분할선의 레벨을 조절함으로써 매우 사실적인 표면을 만들어 낼 수 있다는 장점이 있다. 또한 다중분기문제를 단층 간격의 문제로 규정하고, 인접한 두 층 사이에 가상의 등치선을 추가하여 가지 등치선을 연속적으로 병합하는 방법으로 해결하였다. 제안된 방법은 등치선 삼각화의 가장 큰 문제인 분기문제를 해결하기 위한 매우 구조적인 접근방법으로, 다양한 실제 등치선 데이타에 적용한 결과 좋은 성능을 나타냈다.

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고유진동수와 모드의 민감도를 계산하기 위한 대수적 방법 (Algebraic Method for Computation of Natural Frequency and Mode Shape Sensitivities)

  • 정길호;김동옥;이종원;이인원
    • 대한기계학회논문집A
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    • 제21권5호
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    • pp.707-718
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    • 1997
  • This paper presents an efficient numerical method for the computation of eigenpair derivatives for a real symmetric eigenvalue problem with distinct and multiple eigenvalues. The method has a very simple algorithm and gives an exact solution. Furthermore, it saves computer sotrage and CPU time. The algorithm preserves not only the symmetricity but also the band width of the matrices, allowing efficient computer storage and solution techniques. Results from the proposed method for calculating the eigenpair derivatives are compared with those from Rudisill and Chu's method and Nelson's method which is known efficient one in the case of distinct natural frequencies. As an example to demonstrate the efficiency of the proposed method in the case of distinct eigenvalues, a cantilever plate is considered. The design parameter of the cantilever plate is its thickness. For the eigenvalue problem with multiple natural frequencies, the adjacent eigenvectors are used in the algebraic equation as side conditions, lying adjacent to the multiplicity of multiple natural frequency distinct eigenvalues, which appear when design parameter varies. A cantilever beam is used to demonstrate the efficiency of the proposed method in the case of multiple natural frequencies. Results form the proposed method for calculating the eigenpair derivatives are compared with those from Dailey's method(an amendation of Ojalvo's work) which finds the exact eigenvector derivatives. The design parameter of the cantilever beam is its height. Data is presented showing the amount of CPU time used to compute the first ten eigenpair derivatives by each method. It is important to note that the numerical stability of the proposed method is proved.

다구찌 기법을 적용한 다기준 의사결정 모형의 신뢰성 향상에 관한 연구 (- A Study on Improving Reliability for Multiple Criteria Decision Making Using Taguchi Method -)

  • 허준영;박명규
    • 대한안전경영과학회지
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    • 제6권3호
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    • pp.249-273
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    • 2004
  • Finding an optimal solution in MADN[(Multi-Attribute Decision-Making) problems is difficult, when the number of alternatives, or that of attributes is relatively large Most of the existing mathematical approaches arrive at a final solution on the basis of many unrealistic assumptions, without reflecting the decision-maker's preference structure exactly. In this paper we suggest a model that helps us find a group consensus without assessing these parameters in specific cardinal values. Therefore, This research provides a comprehensive Decision Making of the theory and methods applicable to the analysis of decisions that involve risk and multiple criteria attributes. after, The emphasis of the procedure will be on developments from the fields of decisions analysis and utility theory of Taguchi Method. This theoretical development will be illustrated through the discussion of several real-world application and a case study. When the multiple number of decision makers are involved in the decision making procedure, the problem of uncertainties invariably occurs, because of the different views between them. In this paper, New decision making model using Taguchi Method is applied to effectively model the multi-attribute-decision making(MADM) procedure in the uncertainties dominated two area(quantitative and qualitative factors), Quantitative factors evaluation is used Loss Function of Taguchi, qualitative factors evaluation is used 50 ratio by each specialist. thus it can be used for aiding of preferable alternative. as a result, We will be proved efficiency about New decision making model of applied Taguchi Method with Analytical presentation of all the expecting outcomes when a specific strategy or an alternative plan is selected under expecting future environment.

고유진동수와 모우드의 미분을 구하기 위한 대수적 방법 (Algebraic Method for Evaluating Natural Frequency and Mode Shape Sensitivities)

  • 정길호;김동욱;이인원
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1995년도 가을 학술발표회 논문집
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    • pp.225-233
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    • 1995
  • This paper presents an efficient numerical method for computation of eigenpair derivatives for the real symmetric eigenvalue problem with distinct and multiple eigenvalues. The method has very simple algorithm and gives an exact solution. Furthermore, it saves computer storage and CPU time. The algorithm preserves the symmetry and band of the matrices, allowing efficient computer storage and solution techniques. Thus, the algorithm of the proposed method will be inserted easily in the commercial FEM codes. Results of the proposed method for calculating the eigenpair derivatives are compared with those of Rudisill and Chu's method and Nelson's method which is efficient one in the case of distinct natural frequencies. As an example to demonstrate the efficiency of the proposed method in the case of distinct eigenvalues, a cantilever plate is considered. The design parameter of the cantilever plate is its thickness. For the eigenvalue problem with multiple natural frequencies, the adjacent eigenvectors are used in the algebraic equation as side conditions, they lie adjacent to the m (multiplicity of multiple natural frequency) distinct eigenvalues, which appear when design parameter varies. As an example to demonstrate the efficiency of the proposed method in the case of multiple natural frequencies, a cantilever beam is considered. Results of the proposed method fDr calculating the eigenpair derivatives are compared with those of Bailey's method (an amendation of Ojalvo's work) which finds the exact eigenvector derivatives. The design parameter of the cantilever beam is its height. Data is persented showing the amount of CPU time used to compute the first ten eigenpair derivatives by each method. It is important to note that the numerical stability of the proposed method is proved.

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높은 안테나 상관도를 갖는 다중입출력 공간 다중화 시스템을 위한 통계적 프리코딩 기법 (Statistical Precoder Design for Spatial Multiplexing Systems in Correlated MIMO Fading Channels)

  • 문성현;김진성;이인규
    • 한국통신학회논문지
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    • 제36권3A호
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    • pp.223-231
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    • 2011
  • 다중입출력 공간 다중화 시스템은 송수신 안테나 간 상관도가 있는 채널에서 심각한 성능 열화를 겪는다. 본 논문에서는 ML (maximum likelihood) 수신기를 결합한 다중입출력 무선통신 환경을 위해, 송신단에서 채널상관 행렬 정보만을 활용한 새로운 통계적 프리코딩 기법을 소개한다. 우리는 다차원 심볼 성상의 최소 유클리디언 거리를 최대화하는 두 가지 간단한 형식의 (closed-form solution) 프리코더, 회전 변환 및 파워 로딩 기법을 제안한다. 또한, 제안한 기법을 선형 zero-forcing (ZF) 수신기에 확장 적용하여 성능을 향상시키는 방법을 고안한다. 실험 결과를 통해 제안하는 기법은 ML 수신기 및 ZF 수신기에서 기존의 기법에 비하여 각각 2dB 및 8dB의 비트 에러율 성능 이득을 제공함을 확인할 수 있다.

퍼지 모델 기반 다목적 제어기의 설계와 자기부상열차 자동운전시스템에의 적용 (Design of Fuzzy Model-based Multi-objective Controller and Its Application to MAGLEV ATO system)

  • 강동오;양세현;변증남
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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    • pp.211-217
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    • 1998
  • Many practical control problems for the complex, uncertain or large-scale plants, need to simultaneously achieve a number of objectives, which may conflict or compete with each other. If the conventional optimization methods are applied to solve these control problems, the solution process may be time-consuming and the resulting solution would ofter lose its original meaning of optimality. Nevertheless, the human operators usually performs satisfactory results based on their qualitative and heuristic knowledge. In this paper, we investigate the control strategies of the human operators, and propose a fuzzy model-based multi-objective satisfactory controller. We also apply it to the automatic train operation(ATO) system for the magnetically levitated vehicles(MAGLEV). One of the human operator's strategies is to predict the control result in order to find the meaningful solution. In this paper, Takagi-Sugeno fuzzy model is used to simulated the prediction procedure. Another str tegy is to evaluate the multiple objectives with respect to their own standards. To realize this strategy, we propose the concept of a satisfactory solution and a satisfactory control scheme. The MAGLEV train is a typical example of the uncertain, complex and large-scale plants. Moreover, the ATO system has to satisfy multiple objectives, such as seed pattern tracking, stop gap accuracy, safety and riding comfort. In this paper, the speed pattern tracking controller and the automatic stop controller of the ATO system is designed based on the proposed control scheme. The effectiveness of the ATO system based on the proposed scheme is shown by the experiments with a rotary test bed and a real MAGLEV train.

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경로설정과 파장 배정 문제의 독립집합 상자 채우기 알고리즘 (Independent Set Bin Packing Algorithm for Routing and Wavelength Assignment (RWA) Problem)

  • 이상운
    • 한국컴퓨터정보학회논문지
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    • 제20권1호
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    • pp.111-118
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    • 2015
  • 본 논문은 광통신망에서 (s,t)에 대한 다중 패킷 통신 요구에 대해 최적의 광 경로를 설정하고, 최소 파장 수를 배정하는 경로설정과 파장 배정 문제 (RWAP)를 다룬다. RWAP는 지금까지 다항시간으로 최적 해를 구하는 알고리즘이 알려져 있지 않은 NP-완전으로 근사 해를 다항시간으로 구하고 있다. 본 논문은 주어진 망의 모든 (s,t)에 대해 최단 광 경로로 동일한 홉 수를 갖는 주경로와 대체경로를 사전에 결정하고, (s,t)에 대한 실제 특정 다중 패킷 통신이 요구될 때 이들 이중 경로를 이용하여 최대로 이용되는 간선의 이용횟수를 b개로 줄이고, b개의 파장 수 상자에 중복 간선 없이 담는 방법으로 O(kn) 계산 복잡도로 최적 해를 구할 수 있었다. 2개의 실험 데이터 망에 적용한 결과, 제안된 알고리즘은 기존에 알려진 최적 해를 얻을 수 있음을 보였다.

이온선택성 멤브레인을 이용한 양액 내 질산태 질소 및 칼륨 측정 (Sensing NO3-N and K Ions in Hydroponic Solution Using Ion-Selective Membranes)

  • 김원경;박두산;김영주;노미영;조성인;김학진
    • Journal of Biosystems Engineering
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    • 제35권5호
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    • pp.343-349
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    • 2010
  • Rapid on-site sensing of nitrate-nitrogen and potassium ions in hydroponic solution would increase the efficiency of nutrient use for greenhouse crops cultivated in closed hydroponic systems while reducing the potential for environmental pollution in water and soil. Ion-selective electrodes (ISEs) are a promising approach because of their small size, rapid response, and the ability to directly measure the analyte. The capabilities of the ISEs for sensing nitrate and potassium in hydroponic solution can be affected by the presence of other ions such as calcium, magnesium, sulfate, sodium, and chloride in the solution itself. This study was conducted to investigate the applicability of two ISEs consisting of TDDA-NPOE and valinomycin-DOS PVC membranes for quantitative determinations of $NO_3$-N and K in hydroponic solution. Nine hydroponic solutions were prepared by diluting highly concentrated paprika hydroponic solution to provide a concentration range of 3 to 400 mg/L for $NO_3$-N and K. Two of the calibration curves relating membrane response and nutrient concentration provided coefficients of determination ($R^2$) > 0.98 and standard errors of calibration (SEC) of < 3.79 mV. The use of the direct potentiometry method, in conjunction with an one-point EMF compensation technique, was feasible for measuring $NO_3$-N and K in paprika hydroponic solution due to almost 1:1 relationships and high coefficients of determination ($R^2$ > 0.97) between the levels of $NO_3$-N and K obtained with the ion-selective electrodes and standard instruments. However, even though there were strong linear relationships ($R^2$ > 0.94) between the $NO_3$-N and K concentrations determined by the Gran's plot-based multiple standard addition method and by standard instruments, hydroponic $NO_3$-N concentrations measured with the ISEs, on average, were about 10% higher than those obtained with the automated analyzer whereas the K ISE predicted about 59% lower K than did the ICP spectrometer, probably due to no compensation for a difference between actual and expected concentrations of standard solutions directly prepared.

Automated Molding Design Methodology to Optimize Multiple defects in Injection Molded Parts

  • Park, Jong-Cheon;Kim, Byung H.
    • International Journal of Precision Engineering and Manufacturing
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    • 제1권1호
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    • pp.133-145
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    • 2000
  • Plastic molding designers are frequently faced with optimizing multiple defects in injection molded parts. these defects are usually in conflict with each other, and thus a tradeoff needs to be made reach a final compromised solution. In this study, an automated injection molding design methodology has been developed to optimize multiple defects of injection molded parts. Two features of the proposed methodology are as follows: one is to apply the utility theory to transform the original multiple objective optimization problem into single objective optimization problem with utility as objective function, the other is an implementation of a direct search-based injection molding optimization procedure with automated consideration of process variation. The modified complex method is used as a general optimization tool in this research. The developed methodology was applied to an actual molding design and the results showed that the methodology was useful through the CAE simulation using a commercial injection molding software package. Applied to production, this study will be of immense value to industry in reducing the product development time and enhancing the product quality.

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