Resonance Reliability Sensitivity Analysis for Torsional Vibration of Gear-Rotor Systems With Random Parameters

Abstract

In this presented work, a reliability sensitivity analyzing method was proposed for the resonance failures of gear-rotor systems with multiple random parameters. First, eigenvectors corresponding to the natural frequencies of a gear-rotor system governed by deterministic parameters were deduced. Mass and stiffness matrices were then decomposed into sub-matrices in the form of deterministic matrices multiplied by random parameters. Rayleigh quotient formula was utilized to derive the explicit expressions of natural frequencies of the system. Then, limit state functions of resonant failures of the system under an external load with random excited frequency was constructed based on vibration stability criterion. Reliability sensitivity analyzing method was applied to obtain sensitivities of random parameters on the resonant reliability of the gear-rotor system. Finally, a numerical case was given to illustrate the effectiveness and accuracy of the proposed method by comparing with Monte Carlo (MC) simulation.