REMOVED: Hysteresis and torsional-lateral vibration coupling in a complex shaft line supported by hydrodyanamic journal bearings

The article is devoted to improving methods for designing a finite element model of rotor dynamics. For this purpose, numerical implementation of the authors’ computer program “Critical frequencies of the rotor” was developed based on the computer algebra system MathCAD. As a result of the scientific work, a refined mathematical model of rotor dynamics using finite beam elements was created. This model considers the dependence of the radial stiffness characteristics of the bearing supports on the values of the critical frequencies. The reliability of the mathematical model was justified by the permissible differences of the obtained results within 2% compared with the results of finite element analysis using the ANSYS software. The theorem was also proven by the mutual location of the spectra of the natural and critical frequencies. Overall, the proposed scientific approach reduces preparation and machine time compared to numerical modeling using the ANSYS software without losing the accuracy of the calculations.

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The Influence of Coordinate Systems on the Stability Analysis of Lateral–Torsional Coupled Vibration

Qian

Fan

et al. 2023

Aerospace

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Stability analysis of lateral–torsional coupled vibration is obligatory for rotating machinery, such as aero-engines. However, the state-of-the-art method may lead to stability misjudgment under different coordinate systems. The cause of this misjudgment has not yet been well explored. The purpose of this paper is to clarify the error source of the stability analysis in a more comprehensive manner. A vertical Jeffcott rotor model including torsion vibration is built, and the Lagrange approach is applied to establish the motion equations. The coordinate transformation matrix is used to transfer the motion equations into the rotating coordinate system, making the coefficients of the motion equation constants. The differences in the unstable speed regions in the two coordinate systems are captured. The limitations of the Floquet theory and Hill’s determinant analysis in the stability estimation of the lateral–torsional coupled vibration are explained. It is found that, for Hill’s method, increasing the number of the harmonic truncation cannot correct the misjudgment, and the matrix truncation is the fundamental error source. The above research provides more accurate theoretical support for the analysis of the lateral–torsional coupling instability of rotors.

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REMOVED: Hysteresis and torsional-lateral vibration coupling in a complex shaft line supported by hydrodyanamic journal bearings

Cited by 3 publications

References 18 publications

Synchronous DTC for torque sub-harmonic reduction in low switching frequency induction motor drives

Synchronous DTC for torque sub-harmonic reduction in low switching frequency induction motor drives

Rotor Dynamics of Turbocompressor Based on the Finite Element Analysis and Parameter Identification Approach Author(s):

The Influence of Coordinate Systems on the Stability Analysis of Lateral–Torsional Coupled Vibration

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