Temporal and Spatial Reliability and Global Sensitivity Analysis with Envelope Functions

In this paper, we employ the envelope functions in temporal and spatial reliability problems, by approximating the failure domain of the temporal and spatial multi-parameter reliability through the envelope hyper-planes, the temporal and spatial reliability can be converted into time-independent ones, thus the computational cost can be greatly reduced under guaranteeing the calculation precision. Combining the envelope hyper-plane with three-point estimation, the global sensitivity of the reliability with respect to the input variables can be analyzed efficiently.