Abstract
In this paper, a non-probabilistic Chebyshev convex method (CCM) for the transient dynamics of a dual-disk rotor system with uncertain parameters is proposed. The dynamic equation of the dual-disk rotor system is derived by the finite element method (FEM), and the deterministic response is obtained. Then the CCM is used to obtain the uncertain transient responses of the dual-disk rotor system. The amplitude ranges and response characteristics are quite close to the calculation results of the convex Monte Carlo simulation (CMCS), which verifies the accuracy and validity of the CCM. The experimental results demonstrate that the proposed method has good performance in the uncertainty analysis of the rotor system. More importantly, the results will be helpful to understand the dynamic behavior of dual-disk rotor systems with uncertainties and provide guidance for robust design and analysis.
Highlights
This paper introduces a convex model to describe the correlated interval variables of a dual-disk rotor system
The uncertain dynamics responses of a dual-disk rotor system with uncertainties are analyzed by Chebyshev convex method
The rotor motion differential equation is established by finite element method
Summary
To optimize and improve the dynamic performance, the dual-disk rotor system is widely employed in modern aero-engines [1,2]. The non-parametric modeling technology is discussed by Murthy [16] on the unbalanced response and dynamic balance of the flexible rotor. For aero-engine rotor systems it is often difficult to obtain an accurate probability distribution of system uncertainty. This paper introduces a convex model to describe the correlated interval variables of a dual-disk rotor system. A non-probabilistic Chebyshev convex method is applied to obtain dynamic responses of dual-disk rotor system.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have