Reliability Sensitivity for Bending Fatigue of Gear Using Quasi-Monte Carlo Method

摘要

Monte-Carlo(MC) method is widely used in the field of reliability-based sensitivity analysis of structures because its program structure is very simple and its rate of convergence is independent of the number of dimensions of the problems. But this method is not suitable for the problems of small failure probability because of its low computational efficiency. And because of this reason its application in the field of reliability-based sensitivity analysis of structures is limited. To overcome its low computational efficiency, this paper replaces the Pseudo-random number sequence with the low-discrepancy sequence (halton sequence), and combines the important sample method, develops the Quasi-Monte Carlo(QMC) method which can be used to do the reliability-based sensitivity of structures. The QMC method reduces the number of sample, acquires higher computational efficiency compared with the traditional MC method. The error of the QMC method is deterministic compared with the error under probability level of the traditional MC method. At last, this paper studies the reliability and reliability sensitivity analysis of bending fatigue of a gear. Form the result, the higher computational efficiency is confirmed, the QMC method provides a new approach for reliability-based sensitivity analysis of gears.