• 제목/요약/키워드: Latin hypercube sampling

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LHS기반 신뢰성해석 기법을 이용한 해안구조물의 확률론적 위험도평가 (Probabilistic Risk Assessment of Coastal Structures using LHS-based Reliability Analysis Method)

  • 허정원;정홍우;안진희;안성욱
    • 한국구조물진단유지관리공학회 논문집
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    • 제19권6호
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    • pp.72-79
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    • 2015
  • 이 논문에서는 해안구조물에 대한 실질적이고 효율적인 구조신뢰성평가 기법을 제시하였다. 제안기법은 파랑, 조류 등의 하중관련 변수 그리고 콘크리트의 탄성계수와 압축강도, 지반정수 및 경계조건 등과 같은 저항관련 설계변수의 불확실성을 명확히 고려한 복잡한 해안구조물의 신뢰성을 평가할 수 있다. 라틴 하이퍼큐브 샘플링(LHS), 몬테카를로 시뮬레이션(MCS) 및 유한요소법을 합리적으로 결합한 제안기법에서 LHS기반 MCS는 신뢰성평가에 필요한 샘플링 수를 대폭 줄여주므로 계산노력이 획기적으로 감소된다. 검증예제를 통하여 제안기법이 상대적인 정확도를 보장하며 계산상의 효율성이 우수한 것으로 확인되었다. 또한 실제의 케이슨형식 방파제 구조물을 대상으로 한 수치예제를 통하여 그 적용성과 효율성을 입증하였다. 특히 유한요소법 또는 유한차분법과 같은 알고리즘 형태의 암시적 한계상태함수를 갖는 경우와 비선형해석, 복합재료, 다양한 기하형상 등을 복잡한 구조거동을 고려해야 하는 실제적인 구조물의 신뢰성평가에 적합한 것으로 판단된다.

Estimating uncertainty in limit state capacities for reinforced concrete frame structures through pushover analysis

  • Yu, Xiaohui;Lu, Dagang;Li, Bing
    • Earthquakes and Structures
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    • 제10권1호
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    • pp.141-161
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    • 2016
  • In seismic fragility and risk analysis, the definition of structural limit state (LS) capacities is of crucial importance. Traditionally, LS capacities are defined according to design code provisions or using deterministic pushover analysis without considering the inherent randomness of structural parameters. To assess the effects of structural randomness on LS capacities, ten structural parameters that include material strengths and gravity loads are considered as random variables, and a probabilistic pushover method based on a correlation-controlled Latin hypercube sampling technique is used to estimate the uncertainties in LS capacities for four typical reinforced concrete frame buildings. A series of ten LSs are identified from the pushover curves based on the design-code-given thresholds and the available damage-controlled criteria. The obtained LS capacities are further represented by a lognormal model with the median $m_C$ and the dispersion ${\beta}_C$. The results show that structural uncertainties have limited influence on $m_C$ for the LSs other than that near collapse. The commonly used assumption of ${\beta}_C$ between 0.25 and 0.30 overestimates the uncertainties in LS capacities for each individual building, but they are suitable for a building group with moderate damages. A low uncertainty as ${\beta}_C=0.1{\sim}0.15$ is adequate for the LSs associated with slight damages of structures, while a large uncertainty as ${\beta}_C=0.40{\sim}0.45$ is suggested for the LSs near collapse.

전역 최적화를 위한 B-스플라인 기반의 Branch & Bound알고리즘 (A B-spline based Branch & Bound Algorithm for Global Optimization)

  • 박상근
    • 한국CDE학회논문집
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    • 제15권1호
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    • pp.24-32
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    • 2010
  • This paper introduces a B-spline based branch & bound algorithm for global optimization. The branch & bound is a well-known algorithm paradigm for global optimization, of which key components are the subdivision scheme and the bound calculation scheme. For this, we consider the B-spline hypervolume to approximate an objective function defined in a design space. This model enables us to subdivide the design space, and to compute the upper & lower bound of each subspace where the bound calculation is based on the LHS sampling points. We also describe a search tree to represent the searching process for optimal solution, and explain iteration steps and some conditions necessary to carry out the algorithm. Finally, the performance of the proposed algorithm is examined on some test problems which would cover most difficulties faced in global optimization area. It shows that the proposed algorithm is complete algorithm not using heuristics, provides an approximate global solution within prescribed tolerances, and has the good possibility for large scale NP-hard optimization.

라틴 하이퍼큐브 기반 신경망모델을 적용한 풍력발전기 피치제어기 최적화 (Optimization of Wind Turbine Pitch Controller by Neural Network Model Based on Latin Hypercube)

  • 이광기;한승호
    • 대한기계학회논문집A
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    • 제36권9호
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    • pp.1065-1071
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    • 2012
  • 풍력발전기의 안정적인 전력생산은 정격풍속 이상에서 피치제어와 스톨제어와 같은 일정속도제어로 이루어지고 있다. 최근, 효율적인 전력생산을 위하여 정격풍속 이하의 변동풍속 조건에서 최대 출력을 얻기 위한 가변 속도제어가 적용되고 있는 추세이다. 기존의 피치제어기에서는 지글러-니콜스 계단응답법에 의한 제어기 최적화가 이루어지고 있으나, 가변 속도제어의 요구로 보다 정확한 최적화가 필요하게 되었다. 본 연구에서는 기존의 지글러-니콜스 계단응답법을 개선하기 위하여 라틴 하이퍼큐브 샘플링을 통한 신경망모델을 구축하고, 구축된 PID 제어 계수 신경망모델에 유전자 알고리즘을 적용하여 피치제어기를 최적화하였다. 유전자 알고리즘으로 구한 최적해가 지글러-니콜스 계단응답법의 초기해 보다 평균제곱근 오차가 13.4% 향상되었고, 응답특성을 나타내는 상승속도와 정착시간은 각각 15.8% 및 15.3%으로 개선되었다.

고체로켓 케이스 내압파열 고장모드의 신뢰도예측 (Reliability Prediction of Failure Modes due to Pressure in Solid Rocket Case)

  • 김동성;유민영;김희성;최주호
    • 한국전산구조공학회논문집
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    • 제27권6호
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    • pp.635-642
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    • 2014
  • 본 연구에서는 고체로켓의 임무 수행 중 연소실 내압으로 인해 발생하는 고체로켓 케이스의 3가지 고장(응력파괴, 균열파괴, 볼트 체결 부 파손) 확률을 효과적으로 예측하는 기법을 개발하였다. 전체적인 확률계산 과정은 다음과 같다: 1) 고체로켓 모터의 고장모드에 영향을 주는 설계 변수선정 및 확률분포 부여, 2) 연소해석을 통한 로켓의 최대작동압력(maximum expected operating pressure, MEOP)의 확률분포 계산, 3) 케이스의 응력과 변형 형상을 구하기 위한 유한요소해석, 4) 3가지 고장함수에 대한 신뢰도예측의 수행, 계산의 편의를 위해 유한요소모델은 축대칭으로 가정하였고 볼트 체결 부의 접촉을 고려하였다. 효율적인 신뢰도예측을 위해 FORM(first-order reliability method) 기법을 통해 MPP(most probable failure point)를 탐색한 후, LHS(latin hypercube sampling)와 반응표면기법을 적용하여 고장모드를 다항식으로 근사화하며, 중요도 추출법을 적용하여 고장확률을 계산하였다.

Knee-driven many-objective sine-cosine algorithm

  • Hongxia, Zhao;Yongjie, Wang;Maolin, Li
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제17권2호
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    • pp.335-352
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    • 2023
  • When solving multi-objective optimization problems, the blindness of the evolution direction of the population gradually emerges with the increase in the number of objectives, and there are also problems of convergence and diversity that are difficult to balance. The many- objective optimization problem makes some classic multi-objective optimization algorithms face challenges due to the huge objective space. The sine cosine algorithm is a new type of natural simulation optimization algorithm, which uses the sine and cosine mathematical model to solve the optimization problem. In this paper, a knee-driven many-objective sine-cosine algorithm (MaSCA-KD) is proposed. First, the Latin hypercube population initialization strategy is used to generate the initial population, in order to ensure that the population is evenly distributed in the decision space. Secondly, special points in the population, such as nadir point and knee points, are adopted to increase selection pressure and guide population evolution. In the process of environmental selection, the diversity of the population is promoted through diversity criteria. Through the above strategies, the balance of population convergence and diversity is achieved. Experimental research on the WFG series of benchmark problems shows that the MaSCA-KD algorithm has a certain degree of competitiveness compared with the existing algorithms. The algorithm has good performance and can be used as an alternative tool for many-objective optimization problems.

근사 최적화 방법을 이용한 사출금형 설계에 관한 연구 (A Study on Injection Mold Design Using Approximation Optimization)

  • 변성광;최하영
    • 한국기계가공학회지
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    • 제19권6호
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    • pp.55-60
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    • 2020
  • The injection molding technique is a processing method widely used for the production of plastic parts. In this study, the gate position, gate size, packing time, and melt temperature were optimized to minimize both the stress and deformation that occur during the injection molding process of medical suction device components. We used a central composite design and Latin hypercube sampling to acquire the data and adopted the response surface method as an approximation method. The efficiency of the optimization of the injection molding problem was determined by comparing the results of a genetic algorithm, sequential quadratic programming, and a non-dominant classification genetic algorithm.

Application of Surrogate Modeling to Design of A Compressor Blade to Optimize Stacking and Thickness

  • Samad, Abdus;Kim, Kwang-Yong
    • International Journal of Fluid Machinery and Systems
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    • 제2권1호
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    • pp.1-12
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    • 2009
  • Surrogate modeling is applied to a compressor blade shape optimization to modify its stacking line and thickness to enhance adiabatic efficiency and total pressure ratio. Six design variables are defined by parametric curves and three objectives; efficiency, total pressure and a combined objective of efficiency and total pressure are considered to enhance the performance of compressor blade. Latin hypercube sampling of design of experiments is used to generate 55 designs within design space constituted by the lower and upper limits of variables. Optimum designs are found by formulating a PRESS (predicted error sum of squares) based averaging (PBA) surrogate model with the help of a gradient based optimization algorithm. The optimum designs using the current variables show that, to optimize the performance of turbomachinery blade, the adiabatic efficiency objective is improved substantially while total pressure ratio objective is increased a very small amount. The multi-objective optimization shows that the efficiency can be increased with the less compensation of total pressure reduction or both objectives can be increased simultaneously.

인쇄형 열교환기 입구부의 최적설계 (Shape Optimization of Inlet Part of a PCHE)

  • 구경완;이상문;김광용
    • 한국유체기계학회 논문집
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    • 제16권2호
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    • pp.35-41
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    • 2013
  • Inlet part of a printed circuit heat exchanger has been optimized by using three-dimensional Reynolds-Averaged Navier-Stokes analysis and surrogate modeling techniques. Kriging model has been used as the surrogate model. The objective function for the optimization has been defined as a linear combination of uniformity of mass flow rate and the pressure loss with a weighting factor. For the optimization, the angle of the inlet plenum wall, radius of curvature of the inlet plenum wall, and width of the inlet pipes have been selected as design variables. Twenty six design points are obtained by Latin Hypercube Sampling in design space. Through the optimization, considerable improvement in the objective function has been obtained in comparison with the reference design of PCHE.

LHS를 이용한 6MW급 BLDC MOTOR의 슬롯형상 변화에 따른 특성해석 연구 (A Characteristic analysis of Slot Shape Variation for 6MW BLDC Motor by using Latin Hypercube Sampling Strategy)

  • 김영배;우성현;장형택;신판석;오진석;공영경
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2009년도 제40회 하계학술대회
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    • pp.640_641
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    • 2009
  • 본 논문에서는 6MW급 BLDC Motor의 슬롯형상을 변화시켜 코깅토그와 공극에서의 자속밀도, 저장 에너지를 해석하고, 슬롯형상의 중앙에 설계변수를 주어 공극에 흐르는 자속의 변화를 계산하여 분석 하였다. 폭길이는 최소화에 기준을 두었으며 Parameter는 LHS를 이용한 샘플링 포인트 기법을 사용하여 최적의 조건에 가장 알맞은 최적점를 찾아내어 특성해석을 하였다. 최종적으로 고용량에서의 슬롯형상변화에 따라 코깅토크를 최소화하는 최적화 설계를 위하여 이번 특성해석 연구를 하였다.

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