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A modeling method of flywheel rotor based on finite element and model simplification

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Abstract

The flywheel’s stored energy is usually increased by increasing the thickness of the flywheel rotor due to the limit of radius and speed. However, the flywheel rotor is mostly simplified to a lumped mass point without considering the thickness of the flywheel rotor. This paper proposes a modeling method that considers the thickness of the flywheel rotor. The dynamic characteristics based on the lumped parameter model (LPM), the modeling method proposed in this paper (LFM method) and the finite element method (FEM) are calculated. The first two natural frequencies of the flywheel rotor under different thicknesses are compared with the results of the FEM. The results show that when the rotor thickness is small, the natural frequency results of the LPM are consistent with those calculated using the FEM. However, with the increase of rotor thickness, the error of the results calculated by the LPM increases gradually. The natural frequency results calculated by the LFM are consistent with those calculated by the FEM. The error of the LFM results is small, which verifies the effectiveness of the LFM method.

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Abbreviations

M :

Mass matrix

C :

Damping matrix

G :

Gyroscopic matrix

K :

Stiffness matrix

T :

The model transformation matrix

L :

The length of the shaft section

x ,y :

The translational degrees of freedom

θ x ,θ y :

The rotational degrees of freedom

D s :

Shaft diameter

L s :

The overall length of the flywheel

D d :

Flywheel rotor diameter

ρ :

Material density

E :

Elastic modulus

D r :

Motor rotor diameter

L r :

Motor rotor length

k b 1 , kb 2 :

Stiffness of upper and lower bearing

c b 1 , cb 2 :

Damping of the upper and lower bearing

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Authors and Affiliations

  1. Key Laboratory of Power Station Energy Transfer Conversion and System, Ministry of Education, North China Electric Power University, Beijing, 102206, China

    Chuandi Zhou, Yibing Liu, Wancheng Zhu & Haosui Zhang

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  1. Chuandi Zhou
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  2. Yibing Liu
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  3. Wancheng Zhu
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  4. Haosui Zhang
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Correspondence to Yibing Liu.

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Zhou, C., Liu, Y., Zhu, W. et al. A modeling method of flywheel rotor based on finite element and model simplification. Arch Appl Mech 92, 1185–1197 (2022). https://doi.org/10.1007/s00419-021-02098-7

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