Journal
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY
Volume 231, Issue 2, Pages 172-179Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1748006X16689543
Keywords
Shock; stress-strength interplay; Poisson process; survival probability; contest function
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A new general approach for obtaining system survival probability under the Poisson shock process is suggested. It takes into account the explicitly defined distribution of shock magnitude (stress) and system strength deterioration caused by the previous shocks. The approach can be used for any form of stress distribution, strength deterioration function and stress-strength interplay model. Specifically, we use the contest success function to model the stress-strength interplay and a cumulative stress ratio form function to represent strength deterioration. Numerical examples illustrating the obtained results are presented.
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