Abstract

Aiming at the problem that the traditional reliability models of mechanical products are used to predict the reliability of hydraulic automatic transmission and the expected result is relatively large, firstly, the empirical distribution model line is used to statistically analyze the failure distribution law of the hydraulic automatic transmission; then, the Fourier transform is used to perform frequency domain analysis on experience distribution; on this basis, comprehensively consider the characteristics of experience distribution and frequency domain characteristics of experience distribution, constructs the reliability model of exponential decay oscillation distribution and the corresponding reliability, failure efficiency and average life calculation model; meanwhile, studies the influence of attenuation coefficient, oscillation amplitude, oscillation angle frequency, and other parameters on the probability distribution characteristics. On this basis, the established probability distribution models are adopted to fit the failure time data of hydraulic automatic gearbox carried by a forklift, and the fitting results are compared with exponential distribution models, three-parameter Weibull models, and “bathtub curve” models. The comparing results show that the established exponential decayed oscillation distribution model can better describe the probability distribution characteristics of the fault-free working time of automatic transmission, and the use of this model can obtain a smaller root mean square error. Simultaneously, the research conclusions of this paper can provide meaningful guidance and reference for the analysis of the life distribution model of mechanical products with exponentially attenuated oscillation probability density change law.

Highlights

  • Product reliability reflects the attributes of product life, failure-free, usability, economy, and so on. e concept of “reliability” was first proposed by the German engineer Lusser, who has been known as the father of reliability

  • In April 1957, Advisory Group on Reliability of Electronic Equipment (AGREE) published the research report “Reliability of Military Electronic Equipment” [1], which elaborated the reliability design, test, and analysis as well as management procedures and methods, and gave the definition of reliability for the first time: “ e ability of a product to complete the specified functions under the specified conditions and within the specified time.” is report is recognized as the foundation of reliability engineering theory and practice, and it indicates the development direction of reliability engineering

  • By the Advances in Materials Science and Engineering end of the 1950s, reliability gradually developed into a new science, forming three independent disciplines of reliability mathematics, reliability physics, and reliability engineering, which were increasingly widely used in engineering practice

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Summary

Introduction

Product reliability reflects the attributes of product life, failure-free, usability, economy, and so on. e concept of “reliability” was first proposed by the German engineer Lusser, who has been known as the father of reliability. There are three technical approaches to obtain the life distribution of mechanical product reliability: statistical inference based on test data, modeling based on failure mechanism, and selection of distribution function based on engineering experience. In order to infer more accurate life distribution, it is necessary to combine product failure mechanism, test data, and engineering experience to conduct inferential analysis from both statistical and verification aspects [32, 33]. When the performance degradation model adopts a complex stochastic process (such as a nonlinear trajectory model that includes multiple random parameters), numerical methods are used to sample the parameter estimates of the degradation model to infer the life distribution.

Analysis of Hydraulic Automatic Transmission Reliability Characteristics
Model Parameter Estimation Based on Maximum Likelihood
Conclusion
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