• Title/Summary/Keyword: limit in distribution

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Probabilistic Fatigue Life Evaluation of Rolling Stock Structures (철도차량 구조물의 확률론적 피로수명 평가)

  • 구병춘;서정원
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.5
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    • pp.89-94
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    • 2003
  • Rolling stock structures such as bogie frame and car body play an important role for the support of vehicle leading. In general, more than 25 years' durability is needed for them. A lot of study has been carried out for the prediction of the fatigue life of the bogie frame and car body in experimental and theoretical domains. One of the new methods is a probabilistic fatigue lift evaluation. The objective of this paper is to estimate the fatigue lift of the bogie frame of an electric car, which was developed by the Korea Railroad Research Institute (KRRI). We used two approaches. In the first approach probabilistic distribution of S-N curve and limit state function of the equivalent stress of the measured stress spectra are used. In the second approach, limit state function is also used. And load spectra measured by strain gauges are approximated by the two-parameter Weibull distribution. Other probabilistic variables are represented by log-normal and normal distributions. Finally, reliability index and structural integrity of the bogie frame are estimated.

A study on the maximum penetration limit of wind power considering output limit of WTGs (풍력발전기 출력제한을 고려한 풍력한계용량 산정에 관한 연구)

  • Kim, Hyeong-Taek;Myeong, Ho-San;Kim, Se-Ho
    • Journal of the Korean Solar Energy Society
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    • v.31 no.6
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    • pp.23-31
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    • 2011
  • The wind energy is one of the most prospective resources in renewable energy. However, the WTGS shouldn't be installed indiscriminately because the power system can be negatively influenced by a variable and uncertain nature of the wind energy. It is the reason why it has to be limited to install the WTGS thoughtlessly mentioned above that support the importance of the maximum penetration limit of wind power. It may required that power system operators suggests a new way of power system operation as percentage of the WTGS increase in the existing power system. The wind power is fixed in a limited area, so using rate of the wind power will be increased by installing additional WTGS. In this paper, we have studied on economic evaluation of the wind capacity increased by restricting the output of the WTGS as the way to increase the wind capacity.

Development of Algorithm to Predict the Superheat-limit Explosion(SLE) Conditions of LNG Using Continuous Thermodynamics (연속열역학을 이용한 액화천연개스(LNG)의 과가열약체 폭발현상 예측에 대한 연구)

  • Shin, Goun-Soup;Kwon, Yong-Jung
    • Journal of Industrial Technology
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    • v.15
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    • pp.5-13
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    • 1995
  • Natural gas, which is getting more important as a fuel, should be liquefied and shipped in a special tank. During transportation, a spill of liquefied natural gas(LNG) could occur by a collision or even an accident. As a result, violent explosion called the superheat-limit explosion(SLE) can take place in some cases, unexpectedly. Such explosion may result from the formation of a superheated liquid which has attained the superheat-limit temperature when hot(water) and cold(LNG) liquids come into contact. Natural gas mixtures can be considered as discrete light components plus continuous heavy fractions where several continuous distribution function can be adopted. This work is aiming at prediction of the superheat-limit explosion condition by suing continuous thermodynamics development of algorithm to predict.

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The Design and Implementation to Teach Sampling Distributions with the Statistical Inferences (통계적 추론에서의 표집분포 개념 지도를 위한 시뮬레이션 소프트웨어 설계 및 구현)

  • Lee, Young-Ha;Lee, Eun-Ho
    • School Mathematics
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    • v.12 no.3
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    • pp.273-299
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    • 2010
  • The purpose of the study is designing and implementing 'Sampling Distributions Simulation' to help students to understand concepts of sampling distributions. This computer simulation is developed to help students understand sampling distributions more easily. 'Sampling Distributions Simulation' consists of 4 sessions. 'The first session - Confidence level and confidence intervals - includes checking if the intended confidence level is actually achieved by the real relative frequency for the obtained sample confidence intervals containing population mean. This will give the students clearer idea about confidence level and confidence intervals in addition to the role of sampling distribution of the sample means among those. 'The second session - Sampling Distributions - helps understand sampling distribution of the sample means, through the simulation method to make comparison between the histogram of sampling distributions and that of the population. The third session - The Central Limit Theorem - includes calculating the means of the samples taken from a population which follows a uniform distribution or follows a Bernoulli distribution and then making the histograms of those means. This will provides comprehension of the central limit theorem, which mentions about the sampling distribution of the sample means when the sample size is very large. The forth session - the normal approximation to the binomial distribution - helps understand the normal approximation to the binomial distribution as an alternative version of central limit theorem. With the practical usage of the shareware 'Sampling Distributions Simulation', we expect students to have a new vision on the sampling distribution and to get more emphasis on it. With the sound understandings on the sampling distributions, more accurate and profound statistical inferences are expected. And the role of the sampling distribution in the inferences should be more deeply appreciated.

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Comparison and Evaluation of Performance for Standard Control Limits and Bootstrap Percentile Control Limits in $\bar{x}$ Control Chart ($\bar{x}$ 관리도의 표준관리한계와 부트스트랩 백분률 관리한계의 수행도 비교평가)

  • 송서일;이만웅
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.52
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    • pp.347-354
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    • 1999
  • Statistical Process Control(SPC) which uses control charts is widely used to inspect and improve manufacturing process as a effective method. A parametric method is the most common in statistical process control. Shewhart chart was made under the assumption that measurements are independent and normal distribution. In practice, this assumption is often excluded, for example, in case of (equation omitted) chart, when the subgroup sample is small or correlation, it happens that measured data have bias or rejection of the normality test. A bootstrap method can be used in such a situation, which is calculated by resampling procedure without pre-distribution assumption. In this study, applying bootstrap percentile method to (equation omitted) chart, it is compared and evaluated standard process control limit with bootstrap percentile control limit. Also, under the normal and non-normal distributions, where parameter is 0.5, using computer simulation, it is compared standard parametric with bootstrap method which is used to decide process control limits in process quality.

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Safety Analysis of Storm Sewer Using Probability of Failure and Multiple Failure Mode (파괴확률과 다중파괴유형을 이용한 우수관의 안전성 분석)

  • Kwon, Hyuk-Jae;Lee, Cheol-Eung
    • Journal of Korea Water Resources Association
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    • v.43 no.11
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    • pp.967-976
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    • 2010
  • AFDA (Approximate Full Distribution Approach) model of FORM (First-Order Reliability Model) which can quantitatively calculate the probability that storm sewer reach to performance limit state was developed in this study. It was defined as a failure if amount of inflow exceed the capacity of storm sewer. Manning's equation and rational equation were used to determine the capacity and inflow of reliability function. Furthermore, statistical characteristics and distribution for the random variables were analyzed as a reliability analysis. It was found that the statistical distribution for annual maximum rainfall intensity of 10 cities in Korea is matched well with Gumbel distribution. Reliability model developed in this study was applied to Y shaped storm sewer system to calculate the probability that storm sewer may exceed the performance limit state. Probability of failure according to diameter was calculated using Manning's equation. Especially, probability of failure of storm sewer in Mungyeong and Daejeon was calculated using rainfall intensity of 50-year return period. It was found that probability of failure can be significantly increased if diameter is decreased below the original diameter. Therefore, cleaning the debris in sewer pipes to maintain the original pipe diameter should be one of the best ways to reduce the probability of failure of storm sewer. In sewer system, two sewer pipes can flow into one sewer pipe. For this case, probability of system failure was calculated using multiple failure mode. Reliability model developed in this study can be applied to design, maintenance, management, and control of storm sewer system.

Quantitative Evaluation of Fatigue Strength in Ductile Cast Iron by Extreme Value Distribution (극치통계에 의한 구상흑연주철재의 피로강도의 정량적 평가)

  • 윤명진
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.6
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    • pp.42-47
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    • 2001
  • In this study, fatigue limit of ductile cast iron is evaluated based on phenomena of the microscopic observation, such as matrix structure, spheroidal ratio, size of graphite and distribution. Three different ferrite-pearlite matrix structure, GCD 45-), GCD 50, GCD 60 series, all of which contain more than 70% spheroidal ratio of graphite, were used to obtain the correlation between maximum size of graphite and fatigue strength. It was concluded as fellows. (1) In Ductile cast iron of ferrite-pearlite matrix, the fatigue limit of GCD 60 series with 73% pearlite structure was the highest. (2) From observation of the starting point of crack of all specimens, it is noted that the crack initiates, in graphite, goes through ferrite and propagates into pearlite. (3) A good quality of Ductile cast iron used in this experiment can be checked from uniformly distributed graphite. The negligible interaction effect between graphites was verified by microscopic observation and fracture mechanics investigation in surface and interior of the specimen.

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Fuel Stratification Process in a Lean Burn Internal Combustion Engine by Using Planar Laser Induced Fluorescence (PLIF를 이용한 희박연소엔진에서의 연료 성층화에 관한 연구)

  • 정경석
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.3
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    • pp.7-12
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    • 2003
  • Mixture formation in the cylinder of a lean bum engine has been observed by Laser Induced Fluorescence technique. XeCl laser (308nm) was used to produce a laser sheet. 3-pentanone has been added to iso-octane fuel to produce fluorescence, the intensity of which is proportional to the concentration of the fuel. The laser sheet was introduced through the piston window and the fuel distribution in the vertical plane was observed through a side window. Comparison has been made for the cases of selected fuel injection timing as 0, 360, 405, and 450 CA. For the case of 0 and 360 CA injection, uniform fuel distribution in the combustion chamber has been obtained at the ignition time which is favorable for the high load mode. And the late injection cases, 405 and 450 CA, revealed the stratified formation of rich mixture around the spark plug. That extends the lean misfire limit and reduces cyclic variation in the low load mode.

Design of the Staircase Fatigue Tests for the Random Fatigue Limit Model (확률적 피로한도모형하에서 계단형 피로시험의 설계)

  • Seo, Sun-Keun;Park, Jung-Eun;Cho, You-Hee;Song, Suh-Il
    • Journal of Korean Society for Quality Management
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    • v.35 no.3
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    • pp.107-117
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    • 2007
  • The fatigue has been considered the most failure mode of metal, ceramic, and composite materials. In this paper, numerical experiments to asses the usefulness of two Dixon's methods(small and large samples) and 14 S-N methods on assumptions of lognormal fatigue limit distribution under RFL(Random Fatigue Limit) model are conducted for staircase(or up-and-down) test and compared by MSE(Mean Squared Error) and bias for estimates of mean log-fatigue limit. Also, guidelines for staircase test plans to choose initial stress level and step size are recommended from numerical experiments including sensitivity analyses. In addition, the parametric bootstrap method to construct a confidence interval for the mean of log-fatigue limit by the percentile method using a transition probability matrix of Markov chain is presented and illustrated with an example.

Distribution of Hypertension According to Working Conditions among Korean Worker (근로환경에 따른 우리나라 근로자의 고혈압 분포)

  • Kim, Young Sun;Rhee, Kyung Yong;Song, Se Wook
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.24 no.4
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    • pp.556-565
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    • 2014
  • Objectives: This study is aimed at inquiring into the grasp of real condition of working environment and improvements by calculating the hypertension distribution consequent on job stress risk and exposure level of alleviating factors. In addition, this study is intending to estimate the hypertension distribution through socio-demographic factors and level of stressors occurring at working environment, such as high workload, low control, low support, job insecurity, long working hours, low income. Methods: This study estimated the hypertension distribution using the tertiary Korean Working Conditions Survey data, and conducted comparative analysis according to the category of individual questionnaire items using odds ratio. Result: As a result of study, it was found that in the event that working environment satisfaction is low and business & an immediate superior's attitudes are negative, the hypertension distribution was high. Particularly, it was found that physical risk factor musculoskeletal risk factor, and mental risk factor in a workplace were all increasing the hypertension distribution. Conclusions: With the aged workers' labor market participation ratio increasing, hypertension could be a major issue in the field of Occupational Safety and Health. Thus, it's necessary that the relevant employer should lower the hypertension distribution through creation of pleasant working environment and inducement of workers to improve in the relations with their superiors. As for the uppermost limit of this study, there is a limit to clarifying the mechanism of hypertension through multivariate statistics analysis because it's difficult to establish causal relationship by individual questionnaire item as the working conditions survey is made by cross-sectional study. In the follow-up research, this study is going to do research on the mechanism of hypertension through questionnaire supplementation and in-depth analysis.