Steady-state harmonic vibrations of a linear rotor-bearing system with a discontinuous shaft and arbitrarily distributed mass unbalance

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In many engineering applications, rotating flexible shafts supported at several positions are used to transmit
power, e.g. turbines or electrical machines. While the critical speed is a very important design parameter
for such systems, valuable information can be obtained by computing the response to mass unbalance. In
most previous works, the rotor and the unbalance is modelled as a lumped mass, but several researchers have
also proposed that the unbalance should be included as continuous function. Therefore, a numerical method
called Numerical Assembly Technique (NAT) is extended in this paper to calculate the unbalance response of
a rotor-bearing system with a discontinuous shaft and arbitrarily distributed mass unbalance. The distributed
mass unbalance is approximated by the Fourier extension method, which has a high convergence rate for nonperiodic
functions. Several numerical examples are shown, to illustrate the effect of an arbitrarily distributed
mass unbalance and the computational efficiency of the proposed extension of NAT.
Original languageEnglish
Title of host publicationProceedings of ISMA 2020 International Conference on Noise and Vibration Engineering and USD2020 International Conference on Uncertainty in Structural Dynamics
Pages1257 - 1272
Number of pages16
ISBN (Electronic)9789082893113
Publication statusPublished - 30 Oct 2020
Event ISMA 2020 International Conference on Noise and Vibration Engineering - Virtuell, Belgium
Duration: 7 Sep 20209 Sep 2020

Conference

Conference ISMA 2020 International Conference on Noise and Vibration Engineering
Abbreviated titleISMA 2020
CountryBelgium
CityVirtuell
Period7/09/209/09/20

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