• 제목/요약/키워드: Constant Variance

검색결과 182건 처리시간 0.022초

원공을 가진 CFRP 복합재료의 피로누적손상 및 피로수명에 대한 확률적 해석 (A Probabilistic Analysis for Fatigue Cumulative Damage and Fatigue Life in CFRP Composites Containing a Circular Hole)

  • 김정규;김도식
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1915-1926
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    • 1995
  • The Fatigue characteristics of 8-harness satin woven CFRP composites with a circular hole are experimentally investigated under constant amplitude tension-tension loading. It is found in this study that the fatigue damage accumulation behavior is very random and history-independent, and the fatigue cumulative damage is linearly related with the mean number of cycles to a specified damage state. From these results, it is known that the fatigue characteristics of CFRP composites satisfy the basic assumptions of Markov chain theory and the parameter of Markov chain model can be determined only by mean and variance of fatigue lives. The predicted distribution of the fatigue cumulative damage using Markov chain model shows a good agreement with the test results. For the fatigue life distribution, Markov chain model makes similar accuracy to 2-parameter Weibull distribution function.

수명이 대수정규분포를 따를 때 연속 및 간헐적 검사하에서 가속수명시험의 설계와 소표본 연구 (Design of Accelerated Life Tests and Small Sample Study under Continuous and Intermittent Inspections for Lognormal Failure Distribution)

  • 서순근;정원기
    • 대한산업공학회지
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    • 제23권1호
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    • pp.177-196
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    • 1997
  • In this paper, statistically optimal accelerated life test(ALT) plans considering statistical efficiency only and new compromise ALT plans to sacrifice some statistical efficiency in return for improved overall properties including estimobility probability and robustness for the model assumptions are developed under the assumptions of constant stress, intermittent inspection, Type I censoring and lognormal failure distribution which has been one of the popular choices of failure distributions in the extensive engineering applications of ALT. Computational experiments are conducted to compare with four ALT plans including two proposed ones under continuous and intermittent inspections over a range of parameter values in terms of asymptotic variance, sensitivities for guessed input values, and proportion of estimable samples, etc. The small and moderate sample properties for the proposed ALT plans designed under asymptotic criterion are also investigated by Monte Carlo simulation.

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열화가 Wiener process를 따르는 경우의 비용을 고려한 가속열화시험 계획 (Optimal Design of Accelerated Degradation Tests under the Constraint of Total Experimental Cost in the Case that the Degradation Characteristic Follows a Wiener Process)

  • 임헌상
    • 품질경영학회지
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    • 제40권2호
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    • pp.117-125
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    • 2012
  • For the highly reliable products, an accelerated degradation test (ADT) is a useful tool which has been employed in industry to obtain reliability-related information within an affordable amount of time and cost. In an ADT, as all other reliability tests, it is important to carefully design the ADT beforehand to obtain estimates of the quantities of interest as precisely as possible. In this paper, optimal ADTs are developed assuming that the constant-stress loading method is employed and the degradation characteristic follows a Wiener process. Under the constraint that the total cost does not exceed a pre-specified budget, the stress levels, the number of test units allocated to each stress level and the number of measurement (termination time) are determined such that the asymptotic variance of the maximum likelihood estimator of the q-th quantile of the lifetime distribution at the use condition is minimized.

Asymptotic Properties of the Stopping Times in a Certain Sequential Procedure

  • Kim, Sung-Lai
    • Journal of the Korean Statistical Society
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    • 제24권2호
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    • pp.337-347
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    • 1995
  • In the problem of some sequential estimation, the stopping times may be written in the form $N(c) = inf{n \geq n_0; n \geq c^2 S^2_n/\delta^2 (\bar{X}_n)}$ where ${s^2_n}$ and ${\bar{X}_n}$ are the sequences of sample variance and sample mean of the independently and identically distributed (i.i.d.) random variables with distribution $F_{\theta}(x), \theta \in \Theta$, respectively, and $\delta$ is either constant or any given positive real valued function. We obtain some asymptotic normality and asymptotic expectation of the N(c) in various limiting situations. Specially, uniform asymptotic normality and uniform asymptotic expectation of the N(c) are given.

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Design of a Robust Target Tracker for Parameter Variations and Unknown Inputs

  • Kim, Eung-Tai;Andrisani, D. II
    • International Journal of Aeronautical and Space Sciences
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    • 제2권2호
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    • pp.73-81
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    • 2001
  • This paper describes the procedure to develop a robust estimator design method for a target tracker that accounts for both structured real parameter uncertainties and unknown inputs. Two robust design approaches are combined: the Mini-p-Norm. design method to consider real parameter uncertainties and the $H_{\infty}$ design technique for unknown disturbances and unknown inputs. Constant estimator gains are computed that guarantee the robust performance of the estimator in the presence of parameter variations in the target model and unknown inputs to the target. The new estimator has two design parameters. One design parameter allows the trade off between small estimator error variance and low sensitivity to unknown parameter variations. Another design parameter allows the trade off between the robustness to real parameter variations and the robustness to unknown inputs. This robust estimator design method was applied to the longitudinal motion tracking problem of a T-38 aircraft.

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스트레스 한계가 있는 램프시험의 최적설계: 지수수명분포의 경우 (Time-Censored Ramp Tests with Stress Bound for Exponential)

  • 배도선;전영록;차명수
    • 대한산업공학회지
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    • 제22권3호
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    • pp.459-471
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    • 1996
  • This paper considers ramp tests for exponential lifetime distribution when there are limitations on test stress and test time. The inverse power law and a cumulative exposure model are assumed. Maximum likelihood (ML) estimators of model parameters and their asymptotic covariance matrix are obtained. The optimum ramp test plans are also found which minimize the asymptotic variance of the ML estimator of the log mean life at design constant stress. For selected values of the design parameters, tables useful for finding optimal test plans are given. The effect of the pre-estimates of design parameters is studied.

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수명의 양쪽규격을 고려한 정수중단 ALT 샘플링검사 계획 (A Failure-Censored Accelerated Life Test Sampling Plan with Both Life Specification Limits)

  • 류근중;강창욱
    • 산업경영시스템학회지
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    • 제21권45호
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    • pp.319-328
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    • 1998
  • In this paper, the design of ALT(Accelerated Life Test) requires a sampling plan based on failure-censored(Type II censored) ALT with lognormal life distribution. Specially the environmental effect of products has been emphasized, so we considered the upper life limit as well as lower life limit in the ALT sampling plan. The optimal plan with a high stress and a low stress is used as test plan, and the total sample size for test and lot acceptability constant which minimize an asymptotic variance of maximum likelihood estimator of assumed model parameters and satisfy the given producer's risk and customer's risk are drawn out. These values can be acquired by means of the computer program that we coded for resolving the difficulty and complexity of calculation.

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부하변동에 따른 유도전동기 전류와 전력 특성 (Characteristics for Current and Power of Induction Motor by Load Variation)

  • 김종겸
    • 조명전기설비학회논문지
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    • 제25권8호
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    • pp.82-87
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    • 2011
  • Induction motor is most widely used as the driving power in the industrial site. Induction motor current is composed of two parts, magnetizing current and load current. Load current uses energy what is doing the work. Load current varies with load variance but magnetizing current is constant, regardless of load variation. Magnetizing current needs for establishing the rotating magnetic field of induction motor and lags behind the voltage. Generally capacitor is used for power-factor compensation of inductive load. Self-excitation occurs when the capacitive reactive current from the capacitor is greater than the magnetizing current of the induction motor. When this occurs, excessive voltages can result on the terminals of the motor. This excessive voltage can cause insulation degradation and ultimately result in motor insulation failure. In this paper, we analyzed that how the magnetizing current and condenser current is operating at the allowable limit by the load variation. Condenser current is below allowable limit of magnetizing current but magnetizing current is above allowable limit at the lower load operation condition.

은닉층 다차원공간의 Vertex를 이용한 MLP의 은닉 노드 축소방법 (Reducing the Number of Hidden Nodes in MLP using the Vertex of Hidden Layer's Hypercube)

  • 곽영태;이영직;권오석
    • 한국통신학회논문지
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    • 제24권9B호
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    • pp.1775-1784
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    • 1999
  • 본 논문은 학습하는 동안 은닉 노드의 출력에 대한 분산과 평균을 평가하는 새로운 cost function을 이용하여 불필요한 은닉 노드를 축소하는 방법을 제안한다. 제안한 cost function은 필요한 은닉 노드를 활성화시키고 불필요한 은닉 노드를 상수화 시켜 제거한다. 필기체 숫자인식을 통한 실험에서 제안한 방법은 높은 인식률과 단축된 학습 시간을 나타내며 은닉 노드의 수를 37.2%까지 축소할 수 있었다.

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Axis-Slope-Rotatable Designs for Experiments With Mixture

  • Park, Sung H.;Kim, Joo H.
    • Journal of the Korean Statistical Society
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    • 제11권1호
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    • pp.36-44
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    • 1982
  • A new design concept, called axis-slope-rotatability, is presented for the design of experiments with mixtures. This is an analogue of the Box-Hunter (1957) rotatability for second order response surface designs. By choice of design, it is possible to make the variance of the estimated slopes along the component axes constant for all axial points equidistant from the center point of the factor space. This property is called axis-slope-rotatability for mixture experiments. When the Scheffe's second degree polynomial is used, it is shown that some symmetry conditions are sufficient for axis-slope-rotatability. Several designs having this property are illustrated.

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