• Title/Summary/Keyword: life distributions

Search Result 476, Processing Time 0.027 seconds

Failure Rate Sampling Plan For Normal and Lognormal Distributions (정규분포와 대수정규분포에서의 고장률 보증시험 샘플링 계획)

  • 임재학;김준홍;윤원영;이종문
    • Journal of Applied Reliability
    • /
    • v.4 no.1
    • /
    • pp.15-26
    • /
    • 2004
  • Life test is performed to set a confidence (lower) limit on the mean or median life of items if the number of failures at the end of the fixed time t does not exceed a given number c. Gupta(1962) propose a sampling plan for truncated life tests when the life distribution of an item is normal or lognormal distribution. In this paper, based on the result of Gupta(1962), we propose a sampling plan for failure rate test when an item has normal or lognormal life distribution. We assume that the shape parameter is known while the location parameter is unknown.

  • PDF

The Statistical Analysis of Operating Life Characteristic on Poler Transformers(I) (전력용 변압기 운전수명 특성의 통계적 분석(I))

  • Kang, Dong-Sik;Kim, Kwang-Hwa;Kweon, Dong-Jin;Kim, Moon-Duk
    • Proceedings of the KIEE Conference
    • /
    • 1996.07c
    • /
    • pp.1885-1887
    • /
    • 1996
  • Power transformers are the most important facilities in the substation of electrical power, yet they do not have the efficient operating life characteristics which are the important elements of repairing and maintenance in regional conditions. This paper describes the statistical analysis of operating conditions and troubles on transformers for the operating life assessment using Statistical Analysis System programs, Hazard method and Weibull distributions. We analyze transformers in several methods, and compares correlation relationship of operating life and troubles. Therefore, this study will be the useful basic operating life prediction technique of power transformers in the future.

  • PDF

A Study on Fretting Fatigue Life Prediction for Cr-Mo Steel(SCM420) (크롬-몰리브덴강(SCM420)에 대한 프레팅 피로수명 예측에 관한 연구)

  • Kwak, Dong-Hyeon;Roh, Hong-Rae;Kim, Jin-Kwang;Cho, Sang-Bong
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.24 no.4 s.193
    • /
    • pp.123-130
    • /
    • 2007
  • Recently, a lot of work and interest have been devoted to the development of multiaxial fatigue parameters for fretting fatigue life prediction. In this study, the fretting fatigue lift and critical location ware estimated and evaluated through the multiaxial fatigue theories in a cylinder-on-flat contact configuration far Cr-Mo steel, SCM420, the material commonly is used in gears of the automobile and rollers of the conveyor. The strain-life curve was obtained from fatigue test for SCM420. The Fretting fatigue life and critical location were estimated through stress distributions, SWT-parameters and FS-parameters obtained from FEA. This paper showed possibility of applying multiaxial fatigue theories to fretting fatigue lift prediction comparing predicted life with experimental results.

A Study on Characteristics of Lateral Wheel Path Distributions in Different Traffic Lanes (차로위치에 따른 차량의 횡방향 이격거리 분포 특성에 관한 연구)

  • Jo, Myounghwan;Park, Hyunsik;Jin, Jung Hoon;Kim, Nakseok
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.28 no.3D
    • /
    • pp.339-346
    • /
    • 2008
  • The research was conducted to investigate the characteristics of lateral wheel path distributions (wandering) in different traffic lanes. The lateral wheel path distributions may affect pavement life and various distress types. The results presented that the normal distribution curve with symmetry was observed in the 2-lane and 3-lane roads. In the case of the 2-lane road (on one direction), the wanderings were 70-95cm, and 70-85cm for the 1st and 2nd lanes, respectively, while in the case of the 3-lane road (on one direction), 50-60cm, 65-85cm, and 80-95cm for the 1st, 2nd, and 3rd lanes, respectively. In addition, the 1st lane vehicles tended to pass on the right side to avoid the opposite side vehicles, while the outside lane vehicles tended to pass on the left side to avoid the walkway.

Optimum Shape Design Techniques on Direct Roller of Molten Metal Considering Thickness Control of Width Direction (폭방향 두께제어를 고려한 용탕직접 압연로울의 최적형상 설계기법)

  • Kang, C.G.;Kim, Y.D.;Jung, Y.J.
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.14 no.12
    • /
    • pp.73-85
    • /
    • 1997
  • The rolling force and roll deformation behavior in the twin roll type strip continuous casting process has been computed to estimate the thermal charcteristics of a caster roll. To calculation of rolling force, the relationship between flow stress and strain for a roll material and casting alloy are assumed as a function of strain-rate and temperature because mechanical properties of a casting materials depends on tempera- ture. The three dimensional thermal dlastic-plastic analysis of a cooling roll has also been carried out to obtain a roll stress and plastic strain distributions with the commercial finite element analysis package of ANSYS. Temperature fields data of caster roll which are provided by authors were used to estimated of roll deformation. Roll life considering thermal cycle is calculated by using thermal elastic-plastic analysis results. Roll life is proposed as a terms of a roll revolution in the caster roll with and without fine failure model on the roll surface. To obtain of plastic strain distributions of caster roll, thermomechan- ical properties of roll sleeve with a copper alloy is obtained by uniaxial tensile test for variation of temperature.

  • PDF

Analysis on fatigue life distribution of composite materials (복합재료 피로 수명 분포에 관한 고찰)

  • 황운봉;한경섭
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.12 no.4
    • /
    • pp.790-805
    • /
    • 1988
  • Static strength and fatigue life scattering of glass fiber reinforced epoxy composite materials has been studied. Normal, lognormal, two-parameter and three-parameter Weibull distribution functions are used for strength and one-stress fatigue life distribution. The value of mean fatigue life is analysed using mean fatigue life, mean log fatigue life and expected value of 2 and 3-parameter Weibull distribution functions. Modification on non-statistical cumulative damage models is made in order to interpret the result of two-stress level fatigue life scattering. The comparison results show that 3-parameter Weibull distribution has better predictions in static strength and one-stress level fatigue life distributions. However, no advantage of 3-parameter Weibll distribution is found over 2-parameter Weibull distribution in two-stress level fatigue life predictions. It is found that two-stress level fatigue life prediction by the expanded equal rank assumption is close to the experimental data.

Bayesian approach for prediction of primary water stress corrosion cracking in Alloy 690 steam generator tubing

  • Falaakh, Dayu Fajrul;Bahn, Chi Bum
    • Nuclear Engineering and Technology
    • /
    • v.54 no.9
    • /
    • pp.3225-3234
    • /
    • 2022
  • Alloy 690 tubing has been shown to be highly resistant to primary water stress corrosion cracking (PWSCC). Nevertheless, predicting the failure by PWSCC in Alloy 690 SG tubes is indispensable. In this work, a Bayesian-based statistical approach is proposed to predict the occurrence of failure by PWSCC in Alloy 690 SG tubing. The prior distributions of the model parameters are developed based on the prior knowledge or information regarding the parameters. Since Alloy 690 is a replacement for Alloy 600, the parameter distributions of Alloy 600 tubing are used to gain prior information about the parameters of Alloy 690 tubing. In addition to estimating the model parameters, analysis of tubing reliability is also performed. Since no PWSCC has been observed in Alloy 690 tubing, only right-censored free-failure life of the tubing are available. Apparently the inference is sensitive to the choice of prior distribution when only right-censored data exist. Thus, one must be careful in choosing the prior distributions for the model parameters. It is found that the use of non-informative prior distribution yields unsatisfactory results, and strongly informative prior distribution will greatly influence the inference, especially when it is considerably optimistic relative to the observed data.

Stochastic Properties of Life Distribution with Increasing Tail Failure Rate and Nonparametric Testing Procedure

  • Lim, Jae-Hak;Park, Dong Ho
    • Journal of Applied Reliability
    • /
    • v.18 no.3
    • /
    • pp.220-228
    • /
    • 2018
  • Purpose: The purpose of this study is to investigate the tail behavior of the life distribution which exhibits an increasing failure rate or other positive aging effects after a certain time point. Methods: We characterize the tail behavior of the life distribution with regard to certain reliability measures such as failure rate, mean residual life and reliability function and derive several stochastic properties regarding such life distributions. Also, utilizing an L-statistic and its asymptotic normality, we propose new nonparametric testing procedures which verify if the life distribution has an increasing tail failure rate. Results: We propose the IFR-Tail (Increasing Failure Rate in Tail), DMRL-Tail (Decreasing Mean Residual Life in Tail) and NBU-Tail (New Better than Used in Tail) classes, all of which represent the tail behavior of the life distribution. And we discuss some stochastic properties of these proposed classes. Also, we develop a new nonparametric test procedure for detecting the IFR-Tail class and discuss its relative efficiency to explore the power of the test. Conclusion: The results of our research could be utilized in the study of wide range of applications including the maintenance and warranty policy of the second-hand system.

On the New Age Replacement Policy (새로운 연령교체 방식의 개발)

  • Seo, Sun-Keun
    • Journal of Applied Reliability
    • /
    • v.16 no.4
    • /
    • pp.280-286
    • /
    • 2016
  • Purpose: Recently, Jiang defines the tradeoff B life to minimize a sum of life lost by preventive maintenance (PM) and corrective maintenance (CM) contribution parts and sets up an optimal replacement age of age replacement policy as this tradeoff life. In this paper, Jiang's model only considering the known lifetime distribution is extended by assigning different weights to two parts of PM and CM in order to reflect the practical maintenance situations in application. Methods: The new age replacement model is formulated and the meaning of a weight factor is expressed with the implied cost of failure under asymptotic expected cost model and also discussed with one-cycle expected cost criterion. Results: The proposed model is applied to Weibull and lognormal lifetime distributions and optimum PM replacement ages are derived with corresponding implied cost of failure. Conclusion: The new age replacement policy to escape the estimation of cost of failure in classical asymptotic expected cost criterion based on the renewal process is provided.

A Statistical Analysis on Fatigue Life Distribution in Spheroidal Graphite Cast Iron (구상흑연주철의 피로수명분포에 대한 통계적 해석)

  • Jang, Seong-Su;Kim, Sang-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.24 no.9 s.180
    • /
    • pp.2353-2360
    • /
    • 2000
  • Statistical fatigue properties of metallic materials are increasingly required for reliability design purpose. In this study, static and fatigue tests were conducted and the normal, log-normal, two -parameter Weibull distributions at the 5% significance level are compared using the Kolmogorov-Smirnov goodness-of-fit test. Parameter estimation were compared with experimental results using the maximum likelihood method and least square method. It is found that two-parameter Weibull distribution and maximum likelihood method provide a good fit for static and fatigue life data. Therefore, it is applicable to the static and fatigue life analysis of the spheroidal graphite cast iron. The P-S-N curves were evaluated using log-normal distribution, which showed fatigue life behavior very well.