• 제목/요약/키워드: inverse Weibull distribution

검색결과 37건 처리시간 0.032초

Stand Structure of the Natural Broadleaved-Korean Pine Forests in Northeast China

  • Li, Fengri;Ma, Zhihai
    • 한국산림과학회지
    • /
    • 제94권5호통권162호
    • /
    • pp.321-329
    • /
    • 2005
  • Based on the data representing four typical Korean pine forest types, the age structure, DBH distribution, species composition, and forking rule were systemically analyzed for old-growth Korean pine forest in Liangshui Nature Reserve, northeast China. The age structure of Korean pine trees was strongly uneven-aged with one dominated peak following normal distribution, and age of trees varied from 100 to 180 years within a stand. The DBH and height differences in same age class (20 years) varied from 28 cm~64 cm and 5 to 20 m, respectively. Many conifer and hard wood species, such as spruce, fir, costata birch, basswood, oak, and elm, were mixed with dominated trees of Korean pine. The canopy of the old-growth Korean pine forest can be divided into two layers, and differences of mean age and height between Layer I and Layer II were ranged 80~150 years and 7~13 m, respectively. The Weibull function was used to model the diameter distribution and performed well to describe size-class distribution either with a single peak in over-story canopy and inverse J-shape in under-story canopy for old-growth Korean pine stands. The forking height of Korean pine trees ranged from 16m to 24 m (mean 19.4 m) and tree age about 120 to 160 years old. The results will provide a scientific basis to protect and recover the ecosystem of natural old-growth Korean pine and also provide the model in management of Korean pine plantation.

의료용 할로겐램프의 가속수명시험에 관한 연구 (A Study on Accelerated Life Test of Halogen Lamps for Medical Device)

  • 정재한;김명수;임헌상;김용수
    • 품질경영학회지
    • /
    • 제41권4호
    • /
    • pp.659-672
    • /
    • 2013
  • Purpose: The purpose of this study was to estimate life time of halogen lamps and acceleration factors using accelerated life test. Methods: Voltage was selected as an accelerating variable through the technical review about failure mechanism. The test was performed at 14.5V, 15.5V and 16.5 for 4,471 hours. It was assumed that the lifetime of Halogen lamps follow Weibull distribution and the inverse power life-stress relationship models. Results: Mean lifetimes of pin and screw types were 19,477 hours and 6,056 hours, respectively. In addition, acceleration factor of two items are calculated as 4.8 and 2.2 based on 15.5V, respectively. Conclusion: The life-stress relationship, acceleration factor, and MTTF at design condition are estimated by analyzing the accelerated life test data. These results suggest that voltage was very important factor to accelerate life time in the case of halogen lamps and the life time of pin type is three times longer than screw type lamps.

고정 방식 차이에 따른 배전 가공전선의 고주기피로 수명 특성 비교 평가 (Clamp Type-dependent HCF Life Estimation of the Overhead Cable for Distribution Grids)

  • 이두영;정진성;김영대;방지예
    • KEPCO Journal on Electric Power and Energy
    • /
    • 제7권2호
    • /
    • pp.241-248
    • /
    • 2021
  • High cycle fatigue life for the cables with two different types of clamps is estimated comparatively through acceleration testing. The high cycle fatigue fracture of overhead lines is caused mainly by the aeolian vibration which is induced by vortex shedding. It is necessary to manage the integrity of cables continuedly considering that the aeolian vibration is unavoidable since it occurs in steady and relatively low wind velocity. Two types of clamps which are largely used for overhead lines of the distribution grids are selected and failure data are obtained by step stress testing with a electrodynamic shaker with them. The inverse power law is assumed to describe the stress-life relationship and the fatigue limit at any specified life is supposed to follow Weibull distribution. The life of the cable is defined as the number of cycles to the time that one of strands is completely broken. Finally, the fatigue limits of the cables with two clamp types are estimated at the reference life of 500 Mcycles and compared each other based on a bending vibration amplitude.

산업용 청소기 모터의 가속수명시험 (Accelerated Life Test of Industrial Cleaner Motor)

  • 엄학용;이기천;장무성;박종원;이용범
    • 한국신뢰성학회지:신뢰성응용연구
    • /
    • 제18권3호
    • /
    • pp.193-200
    • /
    • 2018
  • Purpose: In this study, the life of the motor is investigated by performing the accelerated life test with the brush wear of the industrial cleaner motor as the main failure mode. Methods: The accelerating stress factor of the accelerated life test is a voltage, which can increase the number of revolutions of the motor to accelerate the brush wear due to the friction between the brush and the commutator. Also, the accelerating stress level was determined after determining the maximum allowable level of the voltage through the preliminary test. Results: The motor failure time at each accelerating stress level was predicted by regression analysis with brush wear length as performance degradation data. The main failure mode, which is brush wear, of the motor was reproduced by this test. The shape parameter of the Weibull distribution was confirmed to be the same statistically at all accelerating stress levels by the likelihood ratio test. Conclusion: The life of the motor was investigated by performing the accelerated life test with the brush wear of the industrial cleaner motor as the main failure mode. Through the accelerating test method of the cleaner motor, various life expectancy and life expectancy of the acceleration factor are predicted.

정수기 적용 열전모듈의 가속수명시험 (An Accelerated Life Test of Thermoelectric Module for Water Purifier)

  • 문지섭;이성민;정선용;김명수
    • 한국신뢰성학회지:신뢰성응용연구
    • /
    • 제14권1호
    • /
    • pp.21-28
    • /
    • 2014
  • This paper presents an accelerated life test to estimate the lifetime of thermoelectric module for home water purifier. Clamping force and thermal cycle are selected as accelerating variables through the technical review about failure mechanism. It is assumed that its lifetime follows weibull distribution. The relationship, acceleration factor, and BP life at design condition are estimated by analyzing the accelerated life test data.

확률적인 중방향 설계시간 교통량 산정 모형에 관한 실험적 해석 (An Experimental Analysis of a Probabilistic DDHV Estimation Model)

  • 조준한;김성호;노정현
    • 대한교통학회지
    • /
    • 제27권2호
    • /
    • pp.23-34
    • /
    • 2009
  • 본 연구는 전통적인 중방향 설계시간 교통량의 문제점을 개선하기 위해 양방향 교통량이 아닌 중방향 교통량에 따른 링크통행시간의 확률분포개념을 도입하여 확률적인 중방향 설계시간 교통량(PDDHV) 산정 모형에 대한 실험적 해석을 수행하였다. PDDHV산정에 대한 실험적 결과를 토대로 적정 설계순위를 2차로/4차로에 대해 16개의 확률분포형을 대상으로 최우도법을 이용하여 매개변수를 추정하였으며, 적합도 검정은 Kolmogorov-Smirnov 검정을 적용하였다. 적정 설계순위 확률분포형은 2차로도로는 Beta General분포, 4차로도로는 Weibull분포가 가장 적합한 것으로 나타났다. 차로별 적정 확률분포형에 대해 누적분포함수의 역함수를 이용하여 설계서비스수준 D에 따른 적정 설계순위를 산정한 결과, 2차로는 190 순위, 4차로는 164 순위로 도출되었다. 또한, PDDHV 산정에서 새롭게 제시한 계수에 대한 적정값은 2차로 도로 경우 PK계수는 0.119(0.100${\sim}$0.139), PD계수는 0.568(0.545${\sim}$0.590)이며, 4차로도로 경우 PK계수는 0.106(0.097${\sim}$0.114), PD계수는 0.571(0.544${\sim}$0.598)로 도출되었다.

코플라함수를 이용한 극단치 강풍과 강수 분석 (Analysis of extreme wind speed and precipitation using copula)

  • 권태용;윤상후
    • Journal of the Korean Data and Information Science Society
    • /
    • 제28권4호
    • /
    • pp.797-810
    • /
    • 2017
  • 한반도는 매년 태풍의 위험에 노출되어 있다. 태풍은 강풍과 강우가 동반되는 열대성 저기압으로 사회 경제적으로 막대한 피해를 유발한다. 현재의 자연재해 경고 시스템은 풍속과 강우를 구분하여 위험을 감지토록 설계되어 강풍과 폭우를 동반한 태풍의 위험을 경고하는데 한계점이 존재한다. 코플라모형은 확률변수들 사이의 복잡한 의존성 구조를 파악하기 위해 단변량분포의 집합을 다변량분포로 연결하는 모형으로 강우, 홍수, 가뭄 등의 분야에서 활발하게 연구되고 있다. 본 연구에서는 한반도에서 태풍에 가장 많이 노출된 도시인 부산과 제주도의 기상 관측소 (ASOS)에서 수집된 1904년 4월 9일부터 2015년 12월 31일까지 일강수량 (precipitation), 일최대풍속 (maximum wind speed) 자료를 이용하였다. 각 변수의 주변부확률을 추정하기 위해 두꺼운 꼬리 분포인 로그정규분포, 감마분포, 와이블분포를 고려하였다. 주변부 확률분포의 적합성검정은 Kolmogorov-Smirnov와 Cramervon-Mises, Anderson-Darling 검정통계량을 이용하였다. 코플라모형을 위해 순위를 기반으로 한 유사자료 (pseudo observation)를 생성하여 두 변수 간 의존성을 추정하였다. 강풍과 폭우의 의존성을 설명하기 위한 코플라모형으로 타원형, 나선형, 극단치 코플라모형이 고려되었다. 코플라모형의 적합성은 Cramer-von-Mises로 검정하였고, 교차검증을 통해 최적모형을 선택하였다. 연구결과 일강우량과 풍속의 주변부 확률분포로 대부분 로그정규분포가 적합하였다. 부산의 일평균풍속에 따른 일강우량은 t 코플라, 일최대풍속에 따른 일강우량은 Clayton 코플라가 최적모형으로 선정되었다. 제주도의 일최대풍속에 따른 일강우량은 정규코플라, 일강우량에 따른 일평균풍속은 Frank 코플라, 일강우량에 따른 일최대풍속은 Husler-Reiss 코플라가 최적모형으로 선택되었다.