Nonlinear tribo-dynamic model and experimental verification of a spur gear drive under loss-of-lubrication condition

Hu, Bo; Zhou, Changjiang; Wang, Hongbing; Chen, Siyu

doi:10.1016/j.ymssp.2020.107509

Cited by 80 publications

(25 citation statements)

References 44 publications

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“…The temperature field used is a steady uniform temperature field, and the generation and transmission of temperature are not considered. This part can be referred to Ref [37].…”

Section: Discussionmentioning

confidence: 99%

“…In order to quantitatively describe the difference between the actual tooth profile curve and the theoretical tooth profile curve along the meshing line, the involute error Δe is defined (Ref. [30,37]). For the convenience of calculation, suppose  k1 = k , then combining Eq.…”

Section: Thermal Profile Errormentioning

confidence: 99%

“…where a i and b i denote the non-linear coefficient of the friction force and moment, which can be found in Ref. [37].…”

Section: Gear Pair Meshing Modelingmentioning

confidence: 99%

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Vibration Response Analysis of a Gear-rotor-bearing System Considering Steady-state Temperature

Sun

Chen

et al. 2021

Preprint

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As an important factor leading to the failure of gear system, the study of thermal effect is insufficiently deep. Based on the finite element nodal method, a more comprehensive dynamic model of gear-rotor-bearing system is established, which considers the thermal related material properties, time-varying meshing stiffness (TVMS), backlash and friction, gyroscopic effect. The constitutive relation of beam element considering steady-state temperature is reconstructed, and thermal node load is formulated. Considering the influence of temperature on the material properties of flexible shaft and gear, the thermal related TVMS and thermal backlash are obtained. The dynamic response of the system under different steady-state temperature fields is compared, and the influence of hot backlash is studied, then the thermal related vibration characteristics are obtained. Besides, the influence of bearing type on bearing force and axial trajectory is studied. The results show that the system motion changes from period to chaos with the temperature increase in part of the speed range. The appropriate backlash is helpful to restrain the chaotic motion caused by temperature rise. Moreover, the temperature can significantly increase the axial bearing force, and the appropriate bearing can reduce the axial displacement.

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“…The temperature field used is a steady uniform temperature field, and the generation and transmission of temperature are not considered. This part can be referred to Ref [37].…”

Section: Discussionmentioning

confidence: 99%

Section: Thermal Profile Errormentioning

confidence: 99%

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Vibration Response Analysis of a Gear-rotor-bearing System Considering Steady-state Temperature

Sun

Chen

et al. 2021

Preprint

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“…Furthermore, Zhang H [13] and Prabhu Sekar R [14] conducted a detailed investigation of gear body-induced tooth deflections which included the gear's fillet-foundation deformation through the finite element analysis and the results showed good agreement with experimental data. The lubrication conditions were emphatically considered in gear wear characteristics research [15][16][17][18] . Hu B [15] predicted the time-varying friction coefficient under loss-oflubrication condition on the basis of computational inverse technique.…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics of Spur Gear Under Tooth Fatigue Wear

Tian¹,

Tao²,

Hu³

et al. 2021

Preprint

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Tooth surface wear is one of the most common faults of gearboxes which increases the fatigue load on the gearbox and endangers its stable output characteristics and service life. Gear meshing characteristics vary significantly with the wear location and severity. Thus, the wear fault model considering tooth profile deviation, friction and time varying mesh stiffness (TVMS) was established in order to quantitatively study the vibration characteristics of tooth fatigue wear (TFW). Tooth profile modification and friction coefficient coupling were applied to characterize TFW, and the maximum wear depth was introduced to characterize TFW severity. The gear-pair simulation models under multiple wear severities were established and imported to a single-stage parallel gearbox whose dynamic differential equation was established under multiple torque conditions. The dynamic simulation results showed good agreement with the experimental data, which validated the method’s effectiveness. The vibration characteristics under different wear severities and simulation conditions were then obtained and compared.

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“…Their findings can provide a new perspective for temperature variable selection and coefficients adjustment. In addition, more factors were taken into account in the predicted model of temperature filed, such as cooling and lubrication [23,20], thermal contact resistance (TCR) [24][25][26][27]20], heat transfer coefficient [28], dynamic effect [29,30], etc.…”

mentioning

confidence: 99%

Thermal network model and experimental validation for a motorized spindle including thermal–mechanical coupling effect

Zhou

et al. 2021

Int J Adv Manuf Technol

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Thermal deformation caused by temperature rise have an influence on the dynamic performance of a motorized spindle. In turn, the change in the dynamic performance will affect the temperature rise and thermal deformation of the system. However, the latter was rarely focused on in the previous literature. Therefore, a thermal network model of motorized spindle is enhanced by considering the thermal-mechanical coupling effect. Then, an iterative method is presented to solve the coupled equations, and a temperature test rig of the motorized spindle is set up to verify the proposed model. The relative error between the predicted and experimental results at two test points decreases by 9.56% and 3.44% after considering the thermal-mechanical coupling effect. The comparison with the experimental results shows that the proposed model with thermal-mechanical coupling effect can obtain a more accurate temperature field than the previous model. Key words: Motorized spindle; Thermal network model; Thermal-mechanical coupling; Temperature field IntroductionMotorized spindle is a core functional component of computer numerical control (CNC). High transmission accuracy is implemented by the spindle system because the spindle is driven by the motor directly. However, the thermal deformation of the spindle system, caused by uneven temperature rise, reduces machining precision and reliability of a motorized spindle [1]. Temperature affects not only the execution accuracy of the mechanical system [2], but also the machining accuracy of the machine tool [3]. To compensate for the error induced by the thermal deformation, an accurate temperature field prediction model of the motorized spindle is essentially studied.The temperature rise of the spindle system usually focuses on thermal characteristics. To date, considerable efforts have been dedicated on the thermal characteristics of the spindle system. As the bases of calculation for the temperature in the spindle system, a thermal-dynamic model of bearings was established by Palmgren [4] and the frictional heat of bearings was calculated by Jones [5]. Thereafter, the thermal characteristics of the spindle system have attracted increasing attention. The temperature in the spindle system was determined through the finite difference model (FDM) by Harris [6], but the thermal deformation of the spindle system was not included in their model. Later, a thermal characteristic model with thermal deformation was developed [7]. The finite element method (FEM) was also used to predict the temperature field of the spindle system [8][9][10].Recently, motorized spindles as a core part of CNC have been concerned. A finite difference model with heat transfer mechanism of motorized spindle was proposed by Bossmanns [11], and the temperature at several locations matched the measured values. Chen et al. [12] developed a thermal error model of motorized spindle and found that spindle temperature has the characteristics of time-varying, nonlinearity, and strong dependence on rotation speed. Affected by...

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Nonlinear tribo-dynamic model and experimental verification of a spur gear drive under loss-of-lubrication condition

Cited by 80 publications

References 44 publications

Vibration Response Analysis of a Gear-rotor-bearing System Considering Steady-state Temperature

Vibration Response Analysis of a Gear-rotor-bearing System Considering Steady-state Temperature

Vibration Characteristics of Spur Gear Under Tooth Fatigue Wear

Thermal network model and experimental validation for a motorized spindle including thermal–mechanical coupling effect

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