Modeling of a rotor of an electrical machine using composite beam elements

Mair, Mathias; Haas, S.; Ellermann, Katrin

doi:10.1109/icelmach.2014.6960402

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…is the density and € r 0 is the acceleration of the point P. In order to consider the different components like laminated stack and windings in the structural model, composite beam elements are used. A detailed derivation can be found in [8].…”

Section: Rotor Modelingmentioning

confidence: 99%

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Rotor Vibrations in Electrical Machines Due to Electromagnetic Forces

Mair

Weilharter

Ellermann

2015

Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

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The rotor vibrations caused by rotor unbalance and electromagnetic forces are investigated for a two-pole induction machine. Using Timoshenko beam elements, the heterogeneous assembly of the rotor is modeled and the different material properties are considered. The nonlinear simulation includes effects of rotor unbalance and the unbalanced magnetic pull (UMP). Machine parameters influencing the unbalanced magnetic pull are varied to analyze their impact on the rotor vibration.

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Section: Rotor Modelingmentioning

confidence: 99%

“…the laminated core stack, the windings, the end-windings and the shaft. The model considers these components using composite layers [8]. A linear elastic material model is used for the shaft, the windings and the end-windings.…”

Section: Rotor Modelingmentioning

confidence: 99%

Rotor Vibrations in Electrical Machines Due to Electromagnetic Forces

Mair

Weilharter

Ellermann

2015

Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

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“…The rotor is supported by two roller bearings with nonlinear stiffness properties. [2] (a) Rotor model (b) One-dimensional mesh of the rotor The nodal displacements are stored in the vector…”

Section: Rotor Modelmentioning

confidence: 99%

Vibrations of Rotors Supported on Nonlinear Bearings

Mair¹,

Haas²,

Ellermann³

2016

Proc Appl Math and Mech

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Rotors in electrical machines are supported by various types of bearings. In general, the rotor bearings have nonlinear stiffness properties and they influence the rotor vibrations significantly. In this work, this influence of these nonlinearities is investigated. A simplified finite element model using Timoshenko beam elements is set up for the heterogeneous structure of the rotor. A transversally isotropic material model is adopted for the rotor core stack. Imposing the nonlinear bearing stiffnesses on the model, the Newton-Raphson procedure is used to carry out a run up simulation. The spectral content of these results shows nonlinear effects due to the bearings. The rotor vibrations are further investigated in detail for various constant speeds. These results show non-harmonic vibrations of the rotor in a section of the investigated speed range. The nodal displacements are stored in the vectorfor both element types. The indices k and l denote the corresponding nodes of the element e. Different geometrical cross section properties and material properties can be allocated for each element. The dynamic behavior of the rotor is described by the equations of motion of a multi degree-of-freedom systemThe stiffness matrix K is obtained from the the structural stiffness matrix K s and the bearing stiffness K b . The mass matrix M consists of the structural mass matrix M s and additional point masses M p . The structural stiffness and mass matrices are derived from assembling the local element stiffness and mass matrices. The damping matrix D is governed from the Rayleigh damping model. For the rotating system, the gyroscopic effects are included and taken into account by the gyroscopic matrix G. The force vector F considers the linear distribution of the rotor unbalance and the gravity in an element e. The force vector is given by

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