Abstract

The probabilistic analysis and optimal design of a bevel gear transmission system with failure interaction

Highlights

  • Multiple failure modes may occur in a gear transmission system

  • A numerical procedure has been proposed for evaluating the system probability of failure of the bevel gear transmission system with dependent failure modes

  • The proposed procedure utilizes selected copula functions to efficiently describe the dependence structure between failure modes and the most suitable copula is determined by comparative analysis

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Summary

Introduction

Due to the common-source of the input random variables of the system, such as the external loads, the geometric parameters and the material properties, the existing failure modes would be correlated to a certain extend [2, 13]. The robustness of the system reliability pendence modelling throughout the design process to provide a more is ensured by minimize the reliability sensitivity with respect to the accurate reliability estimation for the gear transmission system with highly dependent random variables. According to the theory of machines and the gear transmission system, the linear correlation coefficient cannot mechanisms, there are multiple failure modes exist when a bevel gear reflect the true dependency structure. As an important transmission device, the bevel gear transmission system contains a variety of failure modes

Reliability model based on the tooth contact strength
Reliability model based on the tooth bending strength
Marginal probability of failure estimation by saddlepoint approximation
System probability of failure estimation with copulas and narrow bounds
Reliability-based optimal design with copula function
Reliability-based robust design optimization
System failure probability estimation with selected copulas
Reliability-based optimal design with minimum reliability sensitivity
Conclusions

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