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.
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 language | English |
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Title of host publication | Proceedings of ISMA 2020 International Conference on Noise and Vibration Engineering and USD2020 International Conference on Uncertainty in Structural Dynamics |
Pages | 1257 - 1272 |
Number of pages | 16 |
ISBN (Electronic) | 9789082893113 |
Publication status | Published - 30 Oct 2020 |
Event | ISMA 2020 International Conference on Noise and Vibration Engineering - Virtuell, Belgium Duration: 7 Sept 2020 → 9 Sept 2020 |
Conference
Conference | ISMA 2020 International Conference on Noise and Vibration Engineering |
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Abbreviated title | ISMA 2020 |
Country/Territory | Belgium |
City | Virtuell |
Period | 7/09/20 → 9/09/20 |