Time-Dependent Reliability Analysis for Function Generator Mechanisms

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A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysis (2013, methodology): “This upcrossing rate is further derived by Zhang and Du [13] later for kinematic reliability analysis of function generator mechanisms.”
Time-Dependent System Reliability Analysis Using Random Field Discretization (2015, background): “Figure 4 shows a function generator mechanism [29].”
A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis (2016, methodology): “The time-dependent probability of failure is given by [15]”
First order reliability method for time-variant problems using series expansions (2015, methodology): “Later, Zhang and Du derived equations for upcrossing rates of function generator mechanisms based on the Frist Order Second Moment method (Zhang and Du 2011).”
Time-Dependent Reliability of Dynamic Systems Using Subset Simulation With Splitting Over a Series of Correlated Time Intervals (2013, result): “The out-crossing rate approach was first introduced by Rice [8] followed by extensive studies [6, 9-13] under the assumption of the out-crossings being statistically independent and Poisson distributed.”