Hybrid dimension reduction for mechanism reliability analysis with random joint clearances

A stochastic surrogate model for time-variant reliability analysis of flexible multibody system

“…For the time-variant reliability analysis of FMS, the traditional method is using the structural time-variant reliability theory to establish the limit state equation over a specified time period. Then Monte Carlo simulation (MCS) [2], analytical method [3], or upcrossing rate [4] can be used to analyze the time-variant reliability. However, due to the nonlinear and time-variant characteristics of the system dynamic equations, very large computational complexity causes low efficiency of using MCS method.…”

Time-dependent reliability analysis for function generation mechanisms with random joint clearances

“…Based on the theory of envelope, Chen [25] presented a geometric method to uniformly construct the indeterminate influences of the input uncertainties and the joint clearance on the pose (position and orientation) deviation of the manipulators. The other type contains probabilistic methods [2,[26][27][28][29][30][31], which rely on probability and statistics for creating stochastic models of joint clearances and the uncertainty propagation. In general, the probability density function (PDF) is used to describe the random behavior of a joint clearance variable in a clearance circle [2].…”

A method to determine kinematic accuracy reliability of gear mechanisms with truncated random variables

“…Here, kinematic reliability is defined as the probability that a mechanism realizes its required motion path or trajectory within a specified tolerance range. Kinematic reliability accuracy of planar linkages or robot manipulators using the Monte Carlo simulation method [11], first order second moment method [12], hybrid dimension reduction method [13], and the CrossEnt method [14,15] have been reported in literature. However, to the best of our knowledge there are no reports in literature, which have examined the reliability of the kinematic accuracy specifically for the gear mechanism.…”