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Frontiers of Mechanical Engineering

, Volume 14, Issue 1, pp 21–32 | Cite as

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

  • Yimin ZhangEmail author
Research Article
  • 54 Downloads
Part of the following topical collections:
  1. Innovative Design and Intelligent Design

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 

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Notes

Acknowledgements

We would like to express our appreciation to the National Natural Science Foundation of China (Grant No. U1708254) for supporting this research.

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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Equipment Reliability InstituteShenyang University of Chemical TechnologyShenyangChina

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