Zhang Ding,Hu Geng,Chen Siyu,et al.Dynamics Modeling and Analysis of Split Gear Transmission System with Double Helical Gear[J].Journal of Mechanical Transmission,2019,43(07):122-129.
Zhang Ding,Hu Geng,Chen Siyu,et al.Dynamics Modeling and Analysis of Split Gear Transmission System with Double Helical Gear[J].Journal of Mechanical Transmission,2019,43(07):122-129. DOI: 10.16578/j.issn.1004.2539.2019.07.022.
Dynamics Modeling and Analysis of Split Gear Transmission System with Double Helical Gear
Taking an aero-engine gearbox with split torque transmission system and double helical gears as research object. Based on the finite element node method, the model of a split torque transmission system with considering the effects of the supporting shafts and bearings, gyroscopic effect of rotor, is constructed. The time-varying meshing stiffness of double helical gear is calculated by finite element method, and the static transmission error is calculated according to the measured tooth surface. According to the established system dynamics equation, the typical modal of gear train is calculated according to the vibration theory method, and the correctness of the calculated modal is verified by the test. The time-domain and frequency-domain response is simulated with NewMark method, the time-domain response of the system is convergent and the modulation phenomenon appeared. In the frequency-domain analysis, several high and low order components of mesh frequency, shaft frequency exist. The calculated results are basically consistent with the experimental results. The study work provides a valuable reference method for the dynamic performance analysis of aeronautical gear transmission.
KAHRAMAN A, SINGH R. Non-linear dynamics of a spur gear pair[J]. Journal of Sound and Vibration, 1990, 142(1):49-75.
CHEN S, TANG J, HU Z .Comparisons of gear dynamic responses with rectangular mesh stiffness and its approximate form[J]. Journal of Mechanical Science and Technology, 2015, 29(9):3563-3569.
THOMAS J, HOUSER D R. A procedure for predicting the load distribution and transmission error characteristics of double helical gears[EB/OL]. (1991)[2019-02-20]. https://www.artec-machine.com/wp-content/docs/protected/procedure_for_predicting_load_distribution_&_gearbox_transmission_errors.pdfhttps://www.artec-machine.com/wp-content/docs/protected/procedure_for_predicting_load_distribution_&_gearbox_transmission_errors.pdf.
ERITENEL T, PARKER R G. Three-dimensional nonlinear vibration of gear pairs[J]. Journal of Sound and Vibration, 2012, 331(15):3628-3648.
ERITENEL T, PARKER R G. Nonlinear vibration of gears with tooth surface modifications[J]. Journal of Vibration and Acoustics, 2013, 135(5):051005.
WEI J, BAI P, QIN D, et al. Study on vibration characteristics of fan shaft of geared turbofan engine with sudden imbalance caused by blade off[J]. Journal of Vibration and Acoustics, 2018, 140(4):041010.
MA H, SONG R, PANG X, et al. Fault feature analysis of a cracked gear coupled rotor system[J]. Mathematical Problems in Engineering, 2014, 2014:832192.
MA H, SONG R, PANG X, et al. Time-varying mesh stiffness calculation of cracked spur geas[J]. Engineering Failure Analysis, 2014(44):179-194.
CHEN S Y, TANG J Y. Effects of staggering and pitch error on the dynamic response of a double-helical gear set[J]. Journal of Vibration and Control, 2015, 23(11):1844-1856.
CHEN S, TANG J, LI Y, et al. Rotordynamics analysis of a double-helical gear transmission system[J]. Meccanica, 2016, 51(1):251-268.