Weibull distribution research based on Fourier series

Author

Lei Liu ; Huanwei Xu ; Nan Li ; Weiwen Peng ; Hong-Zhong Huang

Author_Institution

Sch. of Mech., Electron., & Ind. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

fYear

2013

fDate

15-18 July 2013

Firstpage

1200

Lastpage

1203

Abstract

With the development of science and technology, the engineering equipment and products are becoming more and more complicated. So, the system reliability has attracted great attention of Scholars and engineers. Because the system reliability is mainly subjected to Weibull distribution, it is important to improve the Weibull model. A new method is proposed in this paper, which can improve calculation efficiency by using Fourier series to transform the probability density function of Weibull distribution into a periodic function. The proposed method is applied to estimate the reliability of fuel system, and the outcome proves that the method is effective.

Keywords

Fourier series; Weibull distribution; probability; reliability; Fourier series; Weibull distribution; engineering equipment; engineering product; fuel system; periodic function; probability density function; system reliability; Engines; Fourier series; Fuels; Reliability engineering; Standards; Weibull distribution; Fourier series; Weibull distribution; fuel system; system reliability;

fLanguage

English

Publisher

ieee

Conference_Titel

Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE), 2013 International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4799-1014-4

Type

conf

DOI

10.1109/QR2MSE.2013.6625783

Filename

6625783