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Optimization design and reliability statistical analysis of mechanical accelerated life test based on Weibull distribution

Published:2023-07-18 author:YOU Da-zhang, LIU Hang, ZHANG Ye-peng. Browse: 1161 Check PDF documents

Optimization design and reliability statistical analysis of mechanical

accelerated life test based on Weibull distribution

YOU Da-zhang1,2, LIU Hang1,2, ZHANG Ye-peng1,2

(1.School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China;

2.Hubei Key Lab of Manufacture Quality Engineering, Wuhan 430068, China)

Abstract: The accelerated life test of mechanical and electrical products has the problems of low test efficiency and low validity of test data,therefore, the optimization design of constant stress accelerated life test of mechanical products based on Weibull type life distribution was studied.Firstly, it was assumed that the failure mechanism of Weibull distribution test samples remained unchanged under all stress levels, and the relationship between the characteristic life of Weibull distribution test samples and all test stress levels conformed to the generalized loglinear equation. The reliability statistical model of time censored constant stress accelerated life test was established. Then, under the condition that the total amount of test samples was kept certain, the distribution proportion of samples under different stress levels and the number of test stress levels were taken as the optimization variables, and according to Doptimal design theory, the Fisher information matrix obtained under each test stress was maximized and the variance of product median life estimate was minimized as the optimization objective. An optimization method of time censored constant stress accelerated life test for Weibull distributed products was presented. Finally, a certain type of electrical connector was taken as an example to carry out simulation test and calculation example analysis, and verify the effectiveness and feasibility of the optimization method of accelerated life test. The results show that the optimization design method of time censored constant stress accelerated life test is feasible and effective.

Key words: accelerated life test(ALT); optimal design; reliability of mechanical products; Fisher information matrix; time censored constant stress; reliability statistical model; expectation maximization（EM）

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