Nonlinear vibration characteristics of gear-rotor-bearing system

Huang, Fei; Wang, Xinqiang; Hao, Fang; Sima, Lixuan; Cui, Yue

doi:10.1088/1742-6596/2229/1/012002

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…Therefore, the kinetic energy 𝑇, potential energy 𝑈 and dissipation function 𝑅 of the system were established, as shown in Eqs. (19)(20)(21), which were substituted into Lagrange Eq. ( 22), and the control differential equation of the system was derived as shown in Eqs.…”

Section: Establishment Of Coupling Dynamics Equation Of Helical Gear-...mentioning

confidence: 99%

“…Wang fully considered the bearing time-varying support stiffness, the relationship between gear meshing stiffness and multiple meshing phases, and the integrated error, and established a coupled spur gear-rotor-bearing dynamics model [19]. Huang and Wang developed a coupled helical gear-rotor-bearing dynamics model based on the Timoshenko beam element model in finite element theory and the envelope mass method, and analyzed the effects of meshing stiffness, tooth clearance and bearing stiffness on the vibration characteristics of the system [20]. Shi developed a novel nonlinear dynamic model of a spur gear-rotor-bearing system with five meshing states, including time-varying tooth gap and time-varying meshing stiffness, is developed by introducing multiple state subfunctions and the effects of gear temperature and load on the meshing stiffness are analyzed [21].…”

Section: Introductionmentioning

confidence: 99%

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Dynamics model and vibrational response analysis of helical gear-rotor-bearing transmission system

Zhang,

Li,

Zhang

2023

J. vibroeng.

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As a core component of wind turbines, wind power gear speed increasers often work in harsh environments, so it is necessary to study the vibration characteristics of gear transmission systems. Taking a wind turbine gearbox high-speed stage helical gear transmission system as the research object, the dynamics model of multi-degree-of-freedom helical gear-rotor-bearing transmission system is established by the lumped parameter method and solved by Runge-Kutta method, taking into account the tooth side clearance of the gear, transmission error, eccentricity and support force of the nonlinear bearing. The effects of input torque, transmission error and tooth side clearance on the vibration characteristic response of the helical gear train were analyzed. The relationship between the trend of amplitude change in each direction of the gear and the trend of change in the major frequency components was analyzed under the conditions of changing internal and external excitation. The results show that torsional vibration dominates in the system. As the input torque increases, the vibration amplitude of the driving and driven gears decreases, and the frequency amplitude decreases significantly at multiple locations. Gear transmission errors and changes in tooth side clearance have significant effects on gear vibration amplitudes, but are sensitive only to the meshing frequency. The trend of gear vibration amplitude caused by the change of external excitation of the gear set is synchronized with the trend of main frequency amplitude in the corresponding direction, while the change of vibration amplitude caused by internal excitation is consistent with the trend of mesh frequency amplitude in the corresponding direction. The results of this paper can pave a certain foundation for the design and fault diagnosis of wind power gearbox transmission system.

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Section: Establishment Of Coupling Dynamics Equation Of Helical Gear-...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamics model and vibrational response analysis of helical gear-rotor-bearing transmission system

Zhang,

Li,

Zhang

2023

J. vibroeng.

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“…Gou et al 11 used the cell mapping method to theoretically analyze bifurcation characteristics of gear pair with backlash of meshing double teeth in multi-degree of freedom model, but did not consider the influence of the meshing frequency, backlash, and initial conditions on flexible contact system dynamic characteristics under different working conditions. Huang et al 12 established the nonlinear dynamic equation of helical gear with time-varying meshing stiffness, backlash, and bearing stiffness and analyzed their influence on the system vibration characteristics based on the finite element theory and lumped mass method. Results show that backlash and support stiffness have very important roles on the transmission stability of main reducer.…”

Section: Introductionmentioning

confidence: 99%

Study on nonlinear dynamic characteristics of power six-branch herringbone gear transmission system with 3D modification

Wang

2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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The power six-branch herringbone gear transmission system has the advantages of large power transmission and transmission ratio. Because of its multi-way transmission and over-constraint structure, to prevent loaded tooth interference, there are large backlashes between teeth. The system shows complex nonlinear dynamic characteristics under the influence of backlashes, which seriously affects meshing performance. The modification technology can effectively improve gear meshing performance. Hence, on the basis of optimizing meshing performance of the active pair of the six-branch herringbone gear transmission system, this article will combine 3D modification with system nonlinear vibration characteristics and propose an analysis method of the system nonlinear vibration characteristics under 3D modification to reduce vibration and noise. First, the 3D modified tooth surface equation is determined by forming grinding, the loaded transmission error (LTE) of the system's active pair is obtained by tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) technology, and the optimal modification parameters are obtained by Ant Lion Optimizer (ALO) with the minimum error amplitude as optimization objective. Then, the time-varying meshing stiffness of system under the optimal modification is calculated, and the pure torsional nonlinear dynamic model with backlashes, meshing stiffness, and static transmission error (STE) is established. Finally, the global vibration characteristics in parameter field are studied through time domain and bifurcation diagram of system. Results show that the 3D modification can eliminate edge contact of tooth and improve tooth contact performance. With the increase of input power, the root mean square (RMS) values of acceleration increase and the RMS values and jump decrease after 3D modification. With the increase of input speed, the RMS curves appear multiple resonance peaks and jumps at low input speed. After 3D modification, the RMS, jump, and resonance peak values decrease. Compared with level І, the backlashes and STEs of level II and phase difference ϛsII have great influence on system dynamic characteristics and easily make system in chaotic motion, while the 3D modification reduces their influence and makes system motion periodic.

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Methods of Parametric Modeling and Simulation Numerical Analysis of Rotor Dynamics in Active Magnetic Bearings on Example of the Turbocompressor

Kuchma,

Martynenko

2024

Lecture Notes in Networks and Systems

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Nonlinear vibration characteristics of gear-rotor-bearing system

Cited by 3 publications

References 7 publications

Dynamics model and vibrational response analysis of helical gear-rotor-bearing transmission system

Dynamics model and vibrational response analysis of helical gear-rotor-bearing transmission system

Study on nonlinear dynamic characteristics of power six-branch herringbone gear transmission system with 3D modification

Methods of Parametric Modeling and Simulation Numerical Analysis of Rotor Dynamics in Active Magnetic Bearings on Example of the Turbocompressor

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