Principle of maximum entropy for reliability analysis in the design of machine components

doi:10.1007/s11465-018-0512-z

Front. Mech. Eng.

2019, Vol. 14

Issue (1) : 21-32 https://doi.org/10.1007/s11465-018-0512-z

RESEARCH ARTICLE

Principle of maximum entropy for reliability analysis in the design of machine components

Yimin ZHANG(

)

Equipment Reliability Institute, Shenyang University of Chemical Technology, Shenyang 110142, China

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Abstract

We studied the reliability of machine components with parameters that follow an arbitrary statistical distribution using the principle of maximum entropy (PME). We used PME to select the statistical distribution that best fits the available information. We also established a probability density function (PDF) and a failure probability model for the parameters of mechanical components using the concept of entropy and the PME. We obtained the first four moments of the state function for reliability analysis and design. Furthermore, we attained an estimate of the PDF with the fewest human bias factors using the PME. This function was used to calculate the reliability of the machine components, including a connecting rod, a vehicle half-shaft, a front axle, a rear axle housing, and a leaf spring, which have parameters that typically follow a non-normal distribution. Simulations were conducted for comparison. This study provides a design methodology for the reliability of mechanical components for practical engineering projects.

Keywords machine components reliability arbitrary distribution parameter principle of maximum entropy

Corresponding Author(s): Yimin ZHANG

Just Accepted Date: 22 January 2018 Online First Date: 20 March 2018 Issue Date: 30 November 2018

Cite this article:

Yimin ZHANG. Principle of maximum entropy for reliability analysis in the design of machine components[J]. Front. Mech. Eng., 2019, 14(1): 21-32.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-018-0512-z
https://academic.hep.com.cn/fme/EN/Y2019/V14/I1/21

Fig.1 Computational diagram of the maximum entropy method

Fig.2 Connecting rod

Fig.3 Half-shaft

Fig.4 Fore-axle

Fig.5 Rear-axle housing

Fig.6 Multileaf spring

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