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Frontiers of Mechanical Engineering

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