Journal of The Korean Society of Agricultural Engineers (한국농공학회논문집)

The Korean Society of Agricultural Engineers (한국농공학회)
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Reliability Analysis of the Non-normal Probability Problem for Limited Area using Convolution Technique

컨볼루션 기법을 이용한 영역이 제한된 비정규 확률문제의 신뢰성 해석

  • 이현만 (서울대학교 농업생명과학대학 지역시스템공학전공) ;
  • 김태곤 (서울대학교 농업생명과학대학 지역시스템공학전공) ;
  • 최원 ;
  • 서교 (서울대학교 농업생명과학대학 조경.지역시스템공학부) ;
  • 이정재 (서울대학교 농업생명과학대학 조경.지역시스템공학부)
  • Received : 2013.07.09
  • Accepted : 2013.09.02
  • Published : 2013.09.30
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Abstract

Appropriate random variables and probability density functions based on statistical analysis should be defined to execute reliability analysis. Most studies have focused on only normal distributions or assumed that the variables showing non-normal characteristics follow the normal distributions. In this study, the reliability problem with non-normal probability distribution was dealt with using the convolution method in the case that the integration domains of variables are limited to a finite range. The results were compared with the traditional method (linear transformation of normal distribution) and Monte Carlo simulation method to verify that the application was in good agreement with the characteristics of probability density functions with peak shapes. However it was observed that the reproducibility was slightly reduced down in the tail parts of density function.

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References

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