• Title/Summary/Keyword: stress-strength reliability

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Maximization in Reliability Design when Stress/Strength has Time Dependent Model of Deterministic Cycle Times

  • Oh, Chung-Hwan
    • Journal of Korean Society for Quality Management
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    • v.18 no.1
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    • pp.129-147
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    • 1990
  • This study is to refer to the optimization problems when the stress and strength follow the time dependent model, considering a decision making process in the design methodology from reliability viewpoint. Reliability of a component can be expressed and computed if the probability distributions for the stress and strength in the time dependent case are known. The factors which determine the parameters of the distributions for stress and strength random variables can be controlled in design problems. This leads to the problem of finding the optimal values of these parameters subject to resources and design constraints. This paper is to present techniques for solving the optimization problems at the design stage like as minimizing the total cost to be spent on controlling the stress and strength parameters for random variables subject to the constraint that the component must have a specified reliability, alternatively, maximizing the component reliability subject to certain constraints on amount of resources available to control the parameters. The derived expressions and computations of reliability in the time dependent case and some optimization models of these cases are discussed. The special structure of these models is exploited to develop the optimization techniques which are illustrated by design examples.

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Case Study on Reliability Prediction of Barrier Type Pulse Separation Device using Stress-Strength Analysis (부하-강도 분석을 이용한 격막형 펄스분리장치의 내열강도에 대한 신뢰성 예측 사례연구)

  • Lee, Dong-Won;Jeong, Se-Yong;Lee, Bang-Eop;Jung, Gyoo-Dong;Park, Boo-Hee;An, Dong-Geun;Jang, Joong-Soon
    • Journal of Applied Reliability
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    • v.15 no.2
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    • pp.124-130
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    • 2015
  • A stress-strength analysis is used to assess the reliability of a multi-pulse rocket motor system. Main stress is found to be thermal during explosion and the distribution is obtained by simulation. The strength distribution is derived from the results of actual specimen tests. The failure rate of barrier type pulse separation device is estimated.

Statistical Investigateion of Fatigue Life Predictioin of the Spot Welded Lap Joint(II) ; to verity reliabilty of fatigue strength estimatioin method (Spot 용접이음재의 피로수명 예측에 관한 확률적 검토(II) : 피로강도 평가법의 신뢰성 검증)

  • 손일선;배동호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.7
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    • pp.242-249
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    • 1999
  • Spot welding is very important and useful technology in fabrication of an automobile body structure. Because fatigue strength of the spot welding point is however considerably lower than parent metal due to stress concentration at the nugget edge, accurate stress analysis and fatigue stength evaluation of spot welded lap joint are very important to valuate the reliability and durability of automobile body structure and to establish a criterion of long life fatigue design. Many invetigators have studied so far onsystematic fatigue strength evaluation with various methods. It is however necessary to verify their reliability and abailability for practical application to fatigue design of spot welded structure, Thus,in this study, fatigue strength evaluation methods of spot welded lap joint. which are the maximum principal stress method. the fracture and availability with the Weibull probability distribution. From the results, it was found that reliability and availability withe the Weibull probaility distribution. From the results, it was found that reliability and availability of the suggest fatigue strength estimation methods methods were higher than $\Delta$P-$N_f$ relation. However, among them , reliability of the maximum pricipal stress method was the highest.

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Reliability analysis on fatigue Strength for Certification of Aircraft Composite Structures

  • Choi, Cheong Ho;Lee, Doo Jin;Jo, Jae Hyun;Bae, Sung Hwan;Lee, Myung Jik;Lee, Jong Ho
    • Journal of Aerospace System Engineering
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    • v.15 no.2
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    • pp.16-25
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    • 2021
  • Reliability of fatigue strength on Aircraft Composites(GFRP) Structures was assessed in this paper. Fatigue strength of GFRP was used through the existing fatigue test data with Monte Carlo method. The Sa-Nf curve of composites fatigue strength was assumed as normal distribution and reliability was analyzed using SSIT model. Fatigue stress was designed IAW ASTM F3114-15 with special safety factor of Ssf=1.2~2.0. Reliability was calculated by analytic method and FORM. Sensitivity for the effect of mean and standard deviation of fatigue strength as well as fatigue stability was evaluated. This result can be usefully applied to reliability and fatigue design for composite structures of light weight aircraft.

Confidence Intervals for the Stress-strength Models with Explanatory Variables

  • Lee, Sangyeol;Park, Eunsik
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.435-449
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    • 1998
  • In this paper, we consider the problem of constructing the lower cofidence intervals for the reliability P(X < Y z,w), where the stress X and the strength Y are the random variables with explanatory variables z and w, respectively. As an estimator of the reliability, a Mann-Whitney type statistic is considered. It is shown that under regularity conditions, the proposed estimator is asymptotically normal. Based on the result, the distribution free lower confidence intervals are constructed.

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Comparison of Reliability of PSSC Girder Bridge for Different Limit States (PSSC 거더 교량의 한계상태별 신뢰도 비교)

  • Hwang, Chul-Sung;Paik, In-Yeol
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.1
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    • pp.171-180
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    • 2007
  • Reliability analysis of prestressed steel and concrete(PSSC) girders is conducted for deflection, stress and moment strength limit state. PSSC girder has strong advantages in terms of construction cost and vertical clearance for the span length of over 40 meters. In this paper, example PSSC girders with different span lengths, section dimensions and design stress levels are designed and analyzed to calculate the midspan deflection, stress and the section moment strength. Deflection limit state, stress limit state and strength limit state functions are assumed and the reliability indexes are obtained by Monte-Carlo simulation and Rackwitz-Fiessler procedure. The results show that the reliability of PSSC girder for deflection limit state is appropriately higher than the stress limit state and the reliability for moment strength is significantly conservative.

Bayesian reliability estimation in a stress-strength system

  • Chang, In-Hong;Oh, Soo-Jin
    • Journal of Applied Reliability
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    • v.11 no.2
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    • pp.151-165
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    • 2011
  • We consider the problem of estimating the system reliability using noninformative priors when both stress and strength follow generalized gamma distributions with index, scale, and shape parameters. We first derive group-ordering reference priors using the reparametrization. We next provide the sufficient condition for propriety of posterior distributions and provide marginal posterior distributions under those noninformative priors. Finally, we provide and compare estimated values of the system reliability based on the simulated values of parameter of interest in some special cases.

Bayesian Estimation for the Reliability of Stress-Strength Systems Using Noninformative Priors

  • Kim, Byung-Hwee
    • International Journal of Reliability and Applications
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    • v.2 no.2
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    • pp.117-130
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    • 2001
  • Consider the problem of estimating the system reliability using noninformative priors when both stress and strength follow generalized gamma distributions. We first treat the orthogonal reparametrization and then, using this reparametrization, derive Jeffreys'prior, reference prior, and matching priors. We next provide the suffcient condition for propriety of posterior distributions under those noninformative priors. Finally, we provide and compare estimated values of the system reliability based on the simulated values of the parameter of interest in some special cases.

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Reliability approximation for a complex system under the stress-strength model

  • Nayak, Sadananda;Roy, Dilip
    • International Journal of Reliability and Applications
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    • v.13 no.2
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    • pp.71-80
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    • 2012
  • This paper introduces a new approach for evaluating reliability of a complex system in terms of distributional parameters where analytical determination of reliability is intractable. The concept of discrete approximation, reported in the literature so far, fails to meet the latter requirement in terms of distributional parameters. The current work aims at offering a bound based approach where reliability planners not only get a clear idea about the extent of error but also can manipulate in terms of distributional parameters. This reliability approximation has been under taken under the Weibull frame work which is the most widely used model for reliability analysis. Numerical study has been carried out to examine the strength of our proposed reliability approximation via closeness between the two reliability bounds. This approach will be very useful during the early stages of product design as the distributional parameters can be adjusted.

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Bayesian Estimation for the Reliability of a Multicomponent Stress-Strength System Using Noninformative Priors (비정보 사전분포를 이용한 다중 부품 부하-강도체계의 신뢰도에 대한 베이지안 추정)

  • 김병휘;장인홍
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.11a
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    • pp.411-411
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    • 2000
  • Consider the problem of estimating the reliability of a multicomponent stress-strength system which functions if at least r of the k identical components simultaneously function. All stresses and strengths are assumed to be independent random variables with two parameter Weibull distributions. First, we derive reference priors and probability matching priors which are noninformative priors. We next investigate sufficient conditions for propriety of posteriors under reference priors and probability matching priors. Finally, we provide, using these priors, some numerical results for Bayes estimates of the reliability by applying Gibbs sampling technique.

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