Nonlinear dynamic response analysis on gear-rotor-bearing transmission system

Zhou, Shihua; Song, Guiqiu; Sun, Mengnan; Ren, Zhaohui

doi:10.1177/1077546316667178

Cited by 43 publications

(29 citation statements)

References 32 publications

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“…In any wind turbine drive train, the effect that causes the greatest non-linearity is related to the friction force. The results of Zhou et al [37] show that the friction force could increase the amplitude of the vibration and seriously affect the low frequency components. It is not easy to carry out the friction compensation, in fact, it still is an open research topic [38].…”

Section: Experimetal Resultsmentioning

confidence: 99%

Mechatronic Modeling and Frequency Analysis of the Drive Train of a Horizontal Wind Turbine

et al. 2019

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The relevance of renewable energies is undeniable, and among them, the importance of wind energy is capital. A lot of literature has been devoted to the control techniques that deal with the optimization of the energy produced, but the maintainability of the individual wind turbines and of the farms in general is also a fundamental factor to take into account. In this paper, the authors address the general problem of knowing in advance the resonance frequencies of the power system of a wind turbine, with the underlying idea being that those frequencies should be avoided and that resonances do not occur only due to mechanical phenomena, but also because of electrical phenomena that in turn are influenced by control and optimization techniques. Therefore, the availability of that information embedded in the optimization techniques that control a wind turbine is of major importance. The main purpose of this paper was accomplished through two related objectives: the first was to obtain a mechatronic model (using a lumped parameters model of two degrees of freedom) of the drive train in the Laplace domain oriented to subsequently perform the described analysis. The second was to use that model to determine analytically the number and the value of the resonance frequencies from the generator angular velocity in such a way that such information could be used by any control algorithm or even by the mechatronic system designers. We assessed through experimental validation using a real 100 kW wind turbine that these two objectives were reached, demonstrating that the different vibration modes were detected using only the generator angular velocity.

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Section: Experimetal Resultsmentioning

confidence: 99%

Mechatronic Modeling and Frequency Analysis of the Drive Train of a Horizontal Wind Turbine

et al. 2019

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“…where static transmission error e(t) is caused by manufacture and assembly, and r b1 and r b2 are gear base circle radii. is error can be treated as a sinusoidal function e(t) � e 0 + e r sin(ω m t + φ m ) [9], where e 0 and e r severally represent mean and amplitude of the error, and φ m and ω m are, respectively, initial phase and meshing frequency. ω m meshing frequency is expressed as ω m � 2πn 1 z 1 /60(2πn 2 z 2 /60).…”

Section: Lumped Mass Model Of the Gearmentioning

confidence: 99%

“…Many outstanding scholars have made great contributions to the research of healthy gear system. Zhou et al [9] presented a coupled lateral-torsional 16-DOF gearrotor-bearing system considering piecewise periodic stiffness, friction, and eccentricity, and the motion states and frequency variations were analyzed in detail. In addition, the backlash is an important factor to ensure smooth and reliable operation.…”

Section: Introductionmentioning

confidence: 99%

Frequency and Vibration Characteristics of High‐Speed Gear‐Rotor‐Bearing System with Tooth Root Crack considering Compound Dynamic Backlash

Liu

Zhao

Liu

2019

Shock and Vibration

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Considering the microstructure of tooth surface and the dynamic characteristics of the vibration responses, a compound dynamic backlash model is employed for the gear transmission system. Based on the fractal theory and dynamic center distance, respectively, the dynamic backlash is presented, and the potential energy method is applied to compute the timevarying meshing stiffness, including the healthy gear system and the crack fault gear system. en, a 16-DOF coupled lateraltorsional gear-rotor-bearing transmission system with the crack fault is established. e fault characteristics in the timedomain waveform and frequency response and statistics data are described. e effect of crack on the time-varying meshing stiffness is analyzed. e vibration response of three backlash models is compared. e dynamic response of the system is explored with the increase in crack depth in detail. e results show that the fault features of countershaft are more obvious. Obvious fluctuations are presented in the time-domain waveform, and sidebands can be found in the frequency domain responses when the tooth root crack appears. e effect of compound dynamic backlash on the system is more obvious than fixed backlash and backlash with changing center distance. e vibration displacement along meshing direction and dynamic meshing force increases with the increase in crack depth. Backlash and variation of center distance show different tendencies with increasing crack depth under different rotational speeds. Amplitude of the sidebands increases with crack depth increasing. e amplitude of multiplication frequency of rotational frequency has an obvious variation with growing crack depth. e sidebands of the multiplication frequency of meshing frequency show more details on the system with complex backlash and crack fault.

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“…Walha et al [9] investigated dynamics of a two-stage gear system involving backlash and timedependent mesh stiffness, and the decomposition of a nonlinear system into some linear systems was solved by the Newmark iterative algorithm. Zhou et al [10] developed a coupled lateral-torsional nonlinear dynamic model with 16 degrees of freedom (16-DOF) of gear-rotor-bearing transmission system considering the nonlinear features, and the mean load excitation had a complicated influence on the coupled system; they concluded that the torsional vibration was the dominant response in the geared system. Chen et al [11] detected the key shafts of the four-stage helicopter gearbox and analyzed their sensitivity to each branch of the system through the lumped mass method.…”

Section: Introductionmentioning

confidence: 99%

A New Mathematical Modeling Method for Four‐Stage Helicopter Main Gearbox and Dynamic Response Optimization

et al. 2019

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A new mathematical modeling method, namely, the finite element method and the lumped mass method (LMM-FEM) mixed modeling, is applied to establish the overall multinode dynamic model of a four-stage helicopter main gearbox. The design of structural parameters of the shaft is the critical link in the four-stage gearbox; it affects the response of multiple input and output branches; however, only the meshing pairs were frequently shown in the dynamic model in previous research. Therefore, each shaft is also treated as a single node and the shaft parameters are coupled into the dynamic equations in this method, which is more accurate for the transmission chain. The differential equations of the system are solved by the Fourier series method, and the dynamic response of each meshing element is calculated. The sensitivity analysis method and parameter optimization method are applied to obtain the key shaft parameters corresponding to each meshing element. The results show that the magnitude of dynamic response in converging meshing pair and tail output pair is higher than that of other meshing pairs, and the wall thickness has great sensitivity to a rotor shaft. In addition, the sensitivity analysis method can be used to select the corresponding shaft node efficiently and choose parameters appropriately for reducing the system response.

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Nonlinear dynamic response analysis on gear-rotor-bearing transmission system

Cited by 43 publications

References 32 publications

Mechatronic Modeling and Frequency Analysis of the Drive Train of a Horizontal Wind Turbine

Mechatronic Modeling and Frequency Analysis of the Drive Train of a Horizontal Wind Turbine

Frequency and Vibration Characteristics of High‐Speed Gear‐Rotor‐Bearing System with Tooth Root Crack considering Compound Dynamic Backlash

A New Mathematical Modeling Method for Four‐Stage Helicopter Main Gearbox and Dynamic Response Optimization

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