Quasistatic Load Sharing Behaviours of Concentric Torque-Split Face Gear Transmission with Flexible Face Gear

Zhao, Ning; Li, Wang; Hu, Tao; Guo, Hui; Zhou, Ruchuan; Peng, Yanjun

doi:10.1155/2018/6568519

Cited by 11 publications

(12 citation statements)

References 19 publications

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“…Curvic couplings, which differ from arc tooth face gears [27,28], are composed of convex and concave teeth. Gleason Corporation, US has been developing a theory for the structural design of curvic couplings since the 1940s [29].…”

Section: Introductionmentioning

confidence: 99%

Bending and vibration of a discontinuous beam with a curvic coupling under different axial forces

2020

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The transverse stiffness and vibration characteristics of discontinuous beams can significantly differ from those of continuous beams given that an abrupt change in stiffness may occur at the interface of the former. In this study, the equations for the deflection curve and vibration frequencies of a simply supported discontinuous beam under axial loads are derived analytically on the basis of boundary, continuity, and deformation compatibility conditions by using equivalent spring models. The equation for the deflection curve is solved using undetermined coefficient methods. The normal function of the transverse vibration equation is obtained by separating variables. The differential equations for the beam that consider moments of inertia, shearing effects, and gyroscopic moments are investigated using the transfer matrix method. The deflection and vibration frequencies of the discontinuous beam are studied under different axial loads and connection spring stiffness. Results show that deflection decreases and vibration frequencies increase exponentially with increasing connection spring stiffness. Moreover, both variables remain steady when connection spring stiffness reaches a considerable value. Lastly, an experimental study is conducted to investigate the vibration characteristics of a discontinuous beam with a curvic coupling, and the results exhibit a good match with the proposed model.

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Section: Introductionmentioning

confidence: 99%

Bending and vibration of a discontinuous beam with a curvic coupling under different axial forces

2020

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“…The two-way split active test box (4) of face gear is connected with high precision speed and torque measuring instrument (11) through precise elastic sheet coupling (9). Then, the elastic torsion shaft ( 5) is connected with the pinion of the cylindrical gear four-way split-torque passive test box (15). The output shaft of the DC speed regulating motor is connected with the acceleration sensor (3) through an elastic sheet coupling (2).…”

Section: Experimental Verificationmentioning

confidence: 99%

“…Dong et al 14 studied the meshing efficiency of sliding friction spur gear based on load contact analysis. Zhao et al 15 studied the quasistatic load sharing behavior of concentric torque-split face gear transmission with flexible face gear. Feng et al 16 studied the modeling and analysis of torsional vibration of face gear pair.…”

Section: Introductionmentioning

confidence: 99%

Study on the load-sharing characteristics of face-gear four-branching split-torque transmission system

Hao

Zhang

Zhao

et al. 2021

Advances in Mechanical Engineering

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In order to solve the load-sharing characteristics of face-gear four-branching split-torque transmission system (FGFBSTTS), the static load-sharing mechanical analysis model was established. In the model, the deformation coordination conditions of torsional angle and torque balance condition were considered. By using Loaded Tooth Contact Analysis (LTCA) technology of face gear and herringbone gear, the time-varying meshing stiffness was calculated. The influences of manufacturing errors, installation errors, I-stage pinion floating, II-stage pinion spline clearance floating, and radial limit ring clearance floating on the load-sharing characteristics are analyzed. The results show that the LTCA technology is more accurate to reflect the load-sharing characteristics of each meshing position. When the I-stage pinion and the II-stage pinion floated at the same time, the best load-sharing characteristics can be obtained. The load-sharing characteristics affected by manufacturing errors showed obvious periodic change. The radial limit ring plays a better auxiliary role in load-sharing characteristics. The theoretical results were compared with the experiments to verify the correctness of the theoretical analysis. The research results can provide a theoretical basis for the optimal design of the load-sharing structure, error control, and assembly of the face gear four branch transmission system.

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“…The pinion is designed to float, so that the torque can be divided evenly to the two face gears [1,2]. The stiffness of the upper and lower power transmission paths is asymmetric, and the load distributed to the upper face gear is higher [3], so the pinion floats downward. This results in non-standard meshing between the pinion and the lower face gear, and the meshing stiffness will change.…”

Section: Calculation Of the Time-varying Meshing Stiffness When The Pmentioning

confidence: 99%

“…The face gear drive plays more and more important role in the power transmission system of helicopter for its ability of torque-split and insensitivity to misalignment error [1][2][3]. The transmission system of helicopter has the characteristics of high speed, heavy load and complex operating ambient, which make gears prone to damage due to fierce vibration.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic characteristics of face gear pair for helicopter

Li¹,

Zhao²

2020

Vib. proced.

Self Cite

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The face gear pair has been applied in the main reducer of helicopter. Considering the nonlinear backlash, time-varying meshing stiffness and static transmission error, a six degree-of-freedom lumped parameter dynamic model coupling with flexional, torsional and axial motion of the face gear pair for helicopter is developed. This model takes the floating of the pinion as the boundary condition. The nonlinear dynamic characteristics of the face gear pair are analyzed by the help of bifurcation diagram. The effects of rotational speed and supporting stiffness of the pinion on the dynamic responses of the face gear pair are studied in detail by using numerical method. Numerical examples reveal several dynamic evolution mechanisms and motion states including periodic-1, periodic-2, chaotic and quasi-periodic motions. Some research results are helpful for vibration control and dynamic design of the face gear pair for helicopter.

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Quasistatic Load Sharing Behaviours of Concentric Torque-Split Face Gear Transmission with Flexible Face Gear

Cited by 11 publications

References 19 publications

Bending and vibration of a discontinuous beam with a curvic coupling under different axial forces

Bending and vibration of a discontinuous beam with a curvic coupling under different axial forces

Study on the load-sharing characteristics of face-gear four-branching split-torque transmission system

Nonlinear dynamic characteristics of face gear pair for helicopter

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