Dv. Lyridis et al., STRUCTURAL RELIABILITY-ANALYSIS OF MARINE DIESEL-ENGINE SHAFTING SYSTEMS - AN EQUIVALENT STATIONARY PROCESS APPROACH TO THE LEVEL-CROSSING PROBLEM, Journal of ship research, 38(3), 1994, pp. 253-258
This paper is concerned with the level crossing problem of a stress ab
ove some limit. The problem arises when the structural reliability of
a diesel engine shafting system is examined. The first excursion failu
re probability is derived for the case that the stress on the shaft is
a one-frequency cyclostationary random process. A new method is intro
duced where the cyclostationary random process is replaced with an equ
ivalent stationary one, defined to have an envelope process with the s
ame upcrossing rate as the envelope of the original cyclostationary pr
ocess. Both processes are assumed to have the same probability of upcr
ossing a specific threshold. The agreement between this approach, whic
h results in an analytical expression, and the ''exact,'' computationa
lly time-consuming ''Markov approach'' presented in earlier work is ex
cellent.