• 제목/요약/키워드: reliability theory

검색결과 969건 처리시간 0.029초

On Some New Stochastic Orders of Interest in Reliability Theory

  • Kayid, M.;El-Bassiouny, A.H.;Al-Wasel, I.A.
    • International Journal of Reliability and Applications
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    • 제8권1호
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    • pp.95-109
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    • 2007
  • The purpose of this paper is to study new notions of stochastic comparisons and ageing classes based on the total time on test transform order. We give relationships to other stochastic orders and aging classes given previously. Several preservation properties under the reliability operations of random minima and series system are given.

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Simulation of Fuzzy Reliability Indexes

  • Dong, Yu-Ge;Chen, Xin-Zhao;Cho, Hyun-Deog;Kwon, Jong-Wan
    • Journal of Mechanical Science and Technology
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    • 제17권4호
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    • pp.492-500
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    • 2003
  • By means of the transformation from the problem of fuzzy reliability to the problem of general reliability, a model for analyzing fuzzy reliability is introduced in this paper Because of the complexity of the Problem of the fuzzy reliability, generally speaking, the analytical equations for calculating fuzzy reliability indexes of machine part cannot be obtained in most cases. Therefore, in this paper, an approach is given wherein progressions are employed to calculate them, or a simulation approach is used to estimate them by expressing general reliability indexes as progressions. By utilizing the approach put forwards in the paper, the calculating quantity for analyzing the fuzzy reliability will be reduced : even substantially reduced sometimes. Some examples are taken to explain the feasibility of the model and a simulation approach.

테르자기 압밀이론을 이용한 최종압밀침하량에 관한 신뢰성 해석 (Reliability Analysis of Final Settlement Using Terzaghi's Consolidation Theory)

  • 채종길;정민수
    • 대한토목학회논문집
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    • 제28권6C호
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    • pp.349-358
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    • 2008
  • 본 연구에서는 고베 공항 해저 충적 점토를 대상으로 한 신뢰성 침하 해석을 위해 각종 입력 물성치의 불확실성을 확률 통계 이론에 근거하여 조사하였고, Terzaghi 압밀 방정식을 목적 함수로 AFOSM 법을 적용하여 파괴 확률을 정식화하였다. 신뢰성 해석 결과, 목표침하량을 평균침하량 ${\pm}10%,\;{\pm}25%$로 설정한 경우, 발생확률은 각각 30~50%, 60%~90%로 나타났다. 이는 대상 지반의 확률변수의 변동계수가 과거의 연구보고 범위 내에 있음을 고려할 때, 목적함수로 Terzaghi 압밀방정식을 이용한 경우 침하량의 허용 오차 범위는 평균침하량 ${\pm}10%$가 적절할 것으로 사료된다. 또한, 감도 분석 결과 해석에 크게 영향을 미치는 인자는 압축 계수, 모델, 압밀 항복 응력의 불명확성으로 나타났다. 이는 정밀도가 높은 사전 침하량의 예측을 위해서는 현장의 응력 변형 조건을 충실하게 반영한 시험을 수행하여 신뢰도가 높은 물성치를 구하는 것이 매우 중요한 것임을 설명한다.

누적손상이론을 이용한 풍력증속기의 가속수명시험법 개발 (Development of accelerated life test method for the wind turbine Gearbox using cumulative damage theory)

  • 손기수;곽희성;강창훈;조준행
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2005년도 제17회 워크샵 및 추계학술대회
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    • pp.693-697
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    • 2005
  • This study was performed to develop accelerated life test method of the wind-turbine gearbox using accumulated damage theory that used to model the fatigue of parts that receive variable load. The accumulated damage theory was introduced, and the estimation of life and calculation of accelerated life test time was illustrated. As the actual application example, accelerated life test method of the gearbox was described. Life distribution of the wind-turbine gearbox was supposed to follow Weibull distribution and life test time was calculated under the conditions of average life (MTBF) 140,600 hours and 99% reliability for one test sample According to the accumulated damage theory, because test time can shorten in case increase test load, test time could be reduced by 1.2 years when we put the load 1.2 times of rated load than 0.93 times of rated load that is equivalent load calculated by load spectrum of the wind turbine. This time, acceleration coefficient was 21.3. This accelerated test method was used to develop accelerated test method of gear reducer, gear and bearing as well as the industrial gearbox and it is considered to be applied comprehensively to mechanical parts the fatigue of which is happened by load or pressure etc.

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유전 알고리즘에 의한 플랜트 보전을 위한 최적검사기간 결정 방법론 (Decision-making Method of Optimum Inspection Interval for Plant Maintenance by Genetic Algorithms)

  • 서광규;서지한
    • 산업경영시스템학회지
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    • 제26권2호
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    • pp.1-8
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    • 2003
  • The operation and management of a plant require proper accounting for the constraints coming from reliability requirements as well as from budget and resource considerations. Most of the mathematical methods to decide the inspection time interval for plant maintenance by reliability theory are too complicated to be solved. Moreover, the mathematical and theoretical models are not usually cases in the practical applications. In order to overcome these problems, we propose a new the decision-making method of optimal inspection interval to minimize the maintenance cost by reliability theory and genetic algorithm (GA). The most merit of the proposed method is to decide the inspection interval for a plant machine of which failure rate $\lambda$(t) conforms to any probability distribution. Therefore, this method is more practical. The efficiency of the proposed method is verified by comparing the results obtained by GA-based method with the inspection model haying regular time interval.

Throughput-Reliability Tradeoff in Decode-and-Forward Cooperative Relay Channels: A Network Information Theory Approach

  • Li, Jun;Chen, Wen
    • Journal of Communications and Networks
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    • 제11권5호
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    • pp.445-454
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    • 2009
  • Cooperative transmission protocols are always designed to achieve the largest diversity gain and the network capacity simultaneously. The concept of diversity-multiplexing tradeoff (DMT) in multiple input multiple output (MIMO) systems has been extended to this field. However, DMT constrains a better understanding of the asymptotic interplay between transmission rate, outage probability (OP) and signal-to-noise ratio. Another formulation called the throughput-reliability tradeoff (TRT) was then proposed to avoid such a limitation. By this new rule, Azarian and Gamal well elucidated the asymptotic trends exhibited by the OP curves in block-fading MIMO channels. Meanwhile they doubted whether the new rule can be used in more general channels and protocols. In this paper, we will prove that it does hold true in decode-and-forward cooperative protocols. We deduce the theoretic OP curves predicted by TRT and demonstrate by simulations that the OP curves will asymptotically overlap with the theoretic curves predicted by TRT.

옹벽구조시스템의 신뢰성 및 안전도 해석 (Reliability and Safety Analysis of Structure System of Retaining Walls)

  • 정철원;윤병조
    • 한국구조물진단유지관리공학회 논문집
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    • 제2권3호
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    • pp.223-234
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    • 1998
  • In this study, an attempt is made to apply the concept of fuzzy-bayesian theory to the integrity assessment of structure system, and uncertainty states are represented in terms of fuzzy sets which define several linguistic variables such as "very good", "good", "average", "poor", "very poor", etc. Especially, the concept of fuzzy conditional probability aids to derive a new reliability analysis which includes the subjective assessment of engineers without introducing any additional correction factors. The fuzzy concept are also used as reliability indexes for the condition assessment based on the proposed models, the proposed fuzzy theory-based approach with the results of PEM and AFOSM are applied to retaining wall.

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Reliability-based fragility analysis of nonlinear structures under the actions of random earthquake loads

  • Salimi, Mohammad-Rashid;Yazdani, Azad
    • Structural Engineering and Mechanics
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    • 제66권1호
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    • pp.75-84
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    • 2018
  • This study presents the reliability-based analysis of nonlinear structures using the analytical fragility curves excited by random earthquake loads. The stochastic method of ground motion simulation is combined with the random vibration theory to compute structural failure probability. The formulation of structural failure probability using random vibration theory, based on only the frequency information of the excitation, provides an important basis for structural analysis in places where there is a lack of sufficient recorded ground motions. The importance of frequency content of ground motions on probability of structural failure is studied for different levels of the nonlinear behavior of structures. The set of simulated ground motion for this study is based on the results of probabilistic seismic hazard analysis. It is demonstrated that the scenario events identified by the seismic risk differ from those obtained by the disaggregation of seismic hazard. The validity of the presented procedure is evaluated by Monte-Carlo simulation.

An efficient vibration control strategy for reliability enhancement of HAWT blade

  • Sajeer, M. Mohamed;Chakraborty, Arunasis;Das, Sourav
    • Smart Structures and Systems
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    • 제26권6호
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    • pp.703-720
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    • 2020
  • This paper investigates the safety of the wind turbine blade against excessive deformation. For this purpose, the performance of the blade in the along-wind direction is improved by longitudinal stiffener made of shape memory alloy. The rationale behind the selection of this smart material is due to its ability to offer excellent thermo-mechanical behaviour at low strain. Here, Liang-Roger model is adopted for vibration control, and the super-elastic effects are utilised for blade stiffening. Turbulent wind fields are generated at the hub height using TurbSim and the corresponding loads are evaluated using blade element momentum theory. An efficient switching algorithm is developed along with performance curves that enable the designer to select an optimal mode of heating depending upon the operational scenario. Numerical results presented in this paper clearly demonstrate the performance envelope of the proposed stiffener and its influence on the reliability of the blade.

Reliability analysis of shallow tunnel with surface settlement

  • Yang, X.L.;Li, W.T.
    • Geomechanics and Engineering
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    • 제12권2호
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    • pp.313-326
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    • 2017
  • Based on the reliability theory and limit analysis method, the roof stability of a shallow tunnel is investigated under the condition of surface settlement. Nonlinear Hoek-Brown failure criterion is adopted in the present analysis. With the consideration of surface settlement, the internal energy and external work are calculated. Equating the rate of energy dissipation to the external rate of work, the expression of support pressure is derived. With the help of variational approach, a performance function is proposed to reliability analysis. Improved response surface method is used to calculate the Hasofer-Lind reliability index and the failure probability. In order to assess the validity of the present results, Monte-Carlo simulation is performed to examine the correctness. Sensitivity analysis is used to estimate the influence of different variables on reliability index. Among random variables, the unit weight significantly affects the reliability index. It is found that the greater coefficient of variation of variables lead to the higher failure probability. On the basis of the discussions, the reliability-based design is achieved to calculate the required tunnel support pressure under different situations when the target reliability index is obtained.