Abstract
In this paper, the non-probabilistic steady-state dynamics of a dual-rotor system with parametric uncertainties under two-frequency excitations are investigated using the non-intrusive simplex form mathematical metamodel. The Lagrangian formulation is employed to derive the equations of motion (EOM) of the system. The simplex form metamodel without the distribution functions of the interval uncertainties is formulated in a non-intrusive way. In the multi-uncertain cases, strategies aimed at reducing the computational cost are incorporated. In numerical simulations for different interval parametric uncertainties, the special propagation mechanism is observed, which cannot be found in single rotor systems. Validations of the metamodel in terms of efficiency and accuracy are also carried out by comparisons with the scanning method. The results will be helpful to understand the dynamic behaviors of dual-rotor systems subject to uncertainties and provide guidance for robust design and analysis.
Highlights
Risk analyses and optimization of engineering mechanical systems always play an important role in the design and maintenance [1,2]
A dual-rotor system often consists of a higher pressure (HP) rotor and a lower pressure (LP) rotor, which are connected by the inter-shaft bearing and rotate at different angular speeds
It is observed that the first two peaks appear at 738.4 rad/s and 886.1 rad/s for both of the rotors and the amplitudes of the LP rotor are higher than the HP rotor
Summary
Risk analyses and optimization of engineering mechanical systems always play an important role in the design and maintenance [1,2]. To optimize and improve the dynamic performance, a dual-rotor system is widely employed in modern aero-engines for large surge margin. It is more complicated than single rotor systems in both the structural and dynamical regimes. The differences between 1D and 3D models of dual-rotor systems were studied [11]. The interval analysis has been widely used in structural dynamics of the truss and multibody systems, it has not been applied to the uncertain rotor dynamics until recent years [30,31]. The vibration characteristics of dual-rotor systems subject to multi-frequency excitation and interval variables remain to be revealed.
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