Abstract
Near resonance behavior of a shaft-rotor system driven by a motor with limited power gives rise to the Sommerfeld effect wherein the rotor speed gets stuck till a specific level of excitation power is reached. In this paper, a semi-analytical method is used to observe the Sommerfeld effect of a two-disk rotor system driven through a direct current motor. The effect of relative unbalance position on vibration amplitude of a two disk rotor-shaft system is studied in detail. We observe the change in critical power input for passage through resonance by changing the unbalance positions on the disks. We also investigate the case where two close resonance frequencies interfere with the jump phenomenon associated with the Sommerfeld effect. Prediction of critical power input in complex rotor system is highly essential. Else the system may be destroyed due to large vibration amplitudes generated during operations. In this article, drive and rotor dynamics are modeled together by using multi-energy domain bond graph approach and theoretically obtained steady-state characteristics are validated through transient simulations.
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