Abstract
AbstractThis paper shows a mathematical model for lateral rotor dynamic analysis of soft mounted asynchronous machines with sleeve bearings, due to harmonic and transient excitation. The simplified analytical model combines the electromagnetic, the rotor dynamic, and the specific characteristic of sleeve bearings, considering foundation stiffness and damping. Based on the shown mathematical description, it is possible to calculate the complex eigenvalues and eigenvectors, which describe the natural vibrations, the limit of stability, the relative shaft displacements, the bearing house vibrations and the dynamic foundation forces, due to rotor excitations and air gap torque excitations. Based on the simplified plane analytical model a three‐dimensional finite element model is also derived. The aim of this paper is not to replace a finite element calculation, but to show the mathematical coherences between rotor dynamic, electromagnetic and sleeve bearing characteristic for soft mounted asynchronous machines, considering foundation stiffness and damping, based on a simplified mathematical model.
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