Residual Life Analysis of Repairable Systems Based on Universal Generating Function Approach

doi:10.3969/j.issn.1000-1093.2014.07.026

Abstract

Abstract: The residual life of systems is an important analysis index for multi-lifecycle-based design, manufacture and service of mechanical and electrical equipment. Based on the renewal process theory, a practical method for residual life probability analysis of components and the whole system in a finite time interval is put forward by means of the universal generating function (UGF). For systems undergoing stationary stochastic load process with global uncertainty, the conditional life UGFs of components are constructed according to failure data under all constant-amplitude stress levels, and the corresponding conditional residual life UGFs of the whole system can be figured out by using self-defined composition operators of UGFs. Statistical average of UGFs is employed to obtain the residual life distribution of the repairable system. When the composition operators are executed, the computational costs can be reduced by a big margin by means of collecting like terms. The new model is suitable for random variables with arbitrary distributions and embodies the failure dependence attributed to the uncertainty of equivalent stress amplitude of each component.

Key words: mechanics, repairable system, residual life, failure dependence, universal generating function

CLC Number:

ZHOU Jin-yu, XIE Li-yang, HAN Wen-qin, ZHU Fu-xian. Residual Life Analysis of Repairable Systems Based on Universal Generating Function Approach[J]. Acta Armamentarii, 2014, 35(7): 1103-1109.

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