Predicting the Dynamic Response of Dual-Rotor System Subject to Interval Parametric Uncertainties Based on the Non-Intrusive Metamodel

• Published in: Mathematics (Basel) Vol. 8; no. 5; p. 736
• Main Authors: Fu, Chao, Feng, Guojin, Ma, Jiaojiao, Lu, Kuan, Yang, Yongfeng, Gu, Fengshou
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.05.2020
• Subjects: Computer simulation; Distribution functions; dual-rotor; Dynamic response; Equations of motion; Mathematics; metamodel; Metamodels; Methods; multi-frequency excitation; non-intrusive calculation; Ordinary differential equations; Robust design; Rotors; Uncertainty
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math8050736

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.