Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction

Chen, Siyu; Tang, Jinyuan; Cai-wang, Luo; Qibo, Wang

doi:10.1016/j.mechmachtheory.2010.11.016

Cited by 162 publications

(55 citation statements)

References 27 publications

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“…By changing the center distance of gears, the backlash must be generated with volatility. e vibration variation backlash b(t) and dynamic center distance a can be determined as [27,28] a �…”

Section: Dynamic Backlashmentioning

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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Section: Dynamic Backlashmentioning

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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“…The actual center distance and the theoretical center distance are denoted by d and a 0 as described in Figure 3. The instantaneous distance between the pinion and the gear is expressed as [14]…”

Section: Dynamic Model Of the Gear-bearing Systemmentioning

confidence: 99%

Dynamic Characteristics of Spur Gear Pair with Dynamic Center Distance and Backlash

Liu

She

Zhao

et al. 2019

International Journal of Rotating Machinery

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Effect of dynamic backlash and rotational speed is investigated on the six-degree-of-freedom model of the gear-bearing system with the time-varying meshing stiffness. The relationship between dynamic backlash and center distance can be defined clearly. The nonlinear differential equations of the model are solved by the Newmark-β method. The results show that system amplitude increases in the wake of increasing rotational speed. After reaching a certain rotational speed, the system jumps from periodic motion to chaos motion, and the effective amplitude is changed violently. Comparing the dynamic backlash with fixed backlash, the amplitude of the dynamic backlash is augmented and the frequency components are diversified. The vibration displacement is enlarged by the dynamic backlash and the chaotic behavior of the system becomes complex with increasing rotational speed. The numerical results provide a useful reference source for engineers to select rotational speed section for steady running.

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“…Moreover, the contact ratio and the pressure angle also vary [28]. This issue has received attention from various researchers [29,30] who have used simple models for the calculation of the meshing stiffness adapted from previous formulations by the reduction of the double contact period (gears with a contact ratio less than 2 were used in the simulations) under a simple kinematic analysis.…”

Section: Effect Of the Working Distancementioning

confidence: 99%

A model for the study of meshing stiffness in spur gear transmissions

Rincón

Viadero

Iglesias

et al. 2013

Mechanism and Machine Theory

223

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Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction

Cited by 162 publications

References 27 publications

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

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

Dynamic Characteristics of Spur Gear Pair with Dynamic Center Distance and Backlash

A model for the study of meshing stiffness in spur gear transmissions

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