Dynamic response analysis of a shaft-disk-drum rotor system with interval uncertainties

Abstract

In this work, the dynamic responses of an uncertain flexible shaft-disk-drum rotor under elastic support and connection are investigated, where uncertain parameters are considered as unknown but bounded interval variables. The energy method is used to derive deterministic analytical model for the flexible shaft-disk-drum rotor, which is validated by modal tests. A non-intrusive interval method based on Chebyshev polynomial approximation is introduced to evaluate the uncertain dynamic response of the flexible shaft-disk-drum rotor system. Comparative studies of Monte Carlo simulation, scanning method and the interval method are conducted to illustrate the validity and accuracy of the approach proposed here.

Keywords:

• Flexible shaft-disk-drum rotor systems
• dynamic response
• uncertainty
• interval method
• Chebyshev polynomial approximation

Data availability statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Additional information

Funding

This research is supported by National Natural Science Foundation of China [grant number 11972204] and National Science and Technology Major Project [grant number 2017-IV-0010-0047].