Study on the Design of Statistical Schemes for Reliability Demonstration Test of Electromechanical Equipment

doi:10.3901/JME.2021.12.247

Abstract

Abstract: A statistical scheme design method for the reliability demonstration test of electromechanical equipment is proposed. A pair of acceptance probability equations under the occasion of the exponential distribution and Weibull distribution are derived, and solution flow is given. Accordingly, the effect of sample size and Weibull distribution shape parameters on the actual sampling risk of the traditional statistical scheme for reliability demonstration tests (typical schemes in GJB899A-2009) is analysed. It has been shown that, with small sample sizes under exponential distribution, both producer and consumer risks differ from the nominal risk and are very unfavourable to the consumer when the traditional scheme with failures is used. As the sample size increases, the producer risk increases and the consumer risk decreases, gradually approaching the nominal risk. Under Weibull distribution, the larger the sample size in the traditional scheme, the greater the probability that the electromechanical equipment will be accepted during the reliability demonstration test, and the larger the shape parameter of the Weibull distribution, the closer the real sampling characteristics to the ideal steep "step" shape. It can be used as a reference for conducting reliability demonstration tests of electromechanical equipment and reducing the risk of errors in engineering practice.

Key words: reliability demonstration test, statistical scheme, sample size, Weibull distribution, mechatronic equipment

CLC Number:

TB114

WANG Yashun, ZHANG Shufeng, CHEN Xun. Study on the Design of Statistical Schemes for Reliability Demonstration Test of Electromechanical Equipment[J]. Journal of Mechanical Engineering, 2021, 57(12): 247-257.

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