Non-probabilistic analysis of a double-disk rotor system with uncertain parameters

Abstract

Vibration is a major issue in rotor systems. Due to the presence of material property dispersions, manufacture or assembling errors and time-varying working status, rotor systems are always subject to uncertainties. The uncertainties should be taken into consideration to understand the dynamic characteristics of rotors more thoroughly. In this study, interval analysis is carried out to investigate the non-probabilistic characteristics of a double-disk rotor with uncertain parameters. The uncertainties are modeled as uncertain-but-bounded variables due to insufficient essential information to define their precise probabilistic distributions. The deterministic analysis model is derived by the finite element method (FEM). The accuracy and effectiveness of the proposed method in solving uncertain rotor problems are validated by comparative study with the Monte Carlo simulation (MCS). Several cases where different physical parameters are regarded as uncertain are investigated and the dynamic response bounds are obtained. Simulations suggest that uncertainties have significant influence on the dynamic characteristics of the rotor system. Multi-source uncertainties propagation can cause heavy vibrations in mechanical systems.

A state-of-the-art review on uncertainty analysis of rotor systems

“…The applications of the backward analysis typically concern parameter identifications and model calibration/updating. Currently, as evidenced by the literature, considerably more efforts have been put into the forward uncertainty analysis [33][34][35]. It is natural since the backward analysis is generally a tougher task.…”

“…Advances in numerical tools and enormous improvements in modern computing resources have made the missions possible. In fact, a large number of works [6][7][8][9][10][11] emerged on the UQ of rotordynamics and the number is rising rapidly with time.…”