A new methodology is reported for the prediction of the reliability of
mechanical structures subject to multiple failure modes, including no
ncritical damage. The reduction of system reliability due to accumulat
ed damage is quantitatively estimated by updating the critical system
failure states at each level of damage. Correlated design variables ar
e automatically accounted for in the system reliability calculations.
Second-order reliability bounds are reported which are unbiased to the
ordering of the events. A system risk assessment methodology is also
reported that accounts for the cost of multiple types of failure modes
and includes the effect of inspection success on reducing the consequ
ences of system failure. Application of the new technology is illustra
ted for a simplified system model of an aeropropulsion rotor system. H
owever, the methodology is general and is applicable to any engineerin
g system.