Research status of face gear dynamics

The reducer variable speed integrated gear is put forward on the basis of face gear and non-circular gear characteristics. The essence of face gear transmission is the meshing transmission of cylindrical and bevel gears. Compared with the conventional gear transmission, it has the advantages of lighter weight, better power split effect, lower noise, higher coincidence degree and more stable transmission, so it is more and more applied to the main shaft deceleration of helicopter transmission system In the device. The most representative of the early research on face gear is the geometric description of the face gear mechanism in Buckingham’s works in 1949. The face gear is assumed to be a rack with variable pressure angle and variable pitch. The approximate tooth profile of the face gear at different section positions is analyzed by projection geometry method, which lays a solid foundation for the later researchers to further study the face gear transmission.

The further popularization, application and development of face gear can not be separated from Litvin et al. Their systematic research on the geometric characteristics of face gear such as meshing principle, tooth surface equation, undercutting and jacking conditions and the simulation analysis of face gear meshing provide an important reference for the design and processing of face gear. Based on the above study, Peng Feng guangshuo et al. Constructed a torsional vibration model of face gear pair, which considered the meshing stiffness as time invariant before, and considered the meshing stiffness as a time-varying function periodically changing with time; Feng guangshuo et al. Constructed a torsional vibration model of face gear pair including asymmetric time-varying stiffness, clearance, error and other factors, and studied the influence of various factors considered in the model on the dynamic characteristics of face gear pair And the non-linear dynamic response of the face gear pair. Through the comparison of the finite element dynamic calculation results, it is found that the model is reliable and practical; Jin Guanghu et al. Used Wilson – θ In this paper, the coupling model of the orthogonal face gear system is constructed, the meshing stiffness of the gear is numerically analyzed and the stability of the gear is analyzed; the coupled vibration model of the face gear considering the system deformation and installation error is established by Wang Yanzhong and others, and the nonlinear equation of the face gear system is solved by using the Runge Kutta method, and the tooth meshing of the face gear with equivalent installation error is mainly discussed Considering many nonlinear factors, Yang Zhen, Chen, Li Xiaozhen, et al. Established the coupling dynamic model of orthogonal axial gear and studied the nonlinear characteristics of face gear from different system analysis angles; Hu constructed the multi-body coupling dynamic model of gear rotor system considering translational rotation coupling vibration, and studied the face gear rotor system The effects of load and nonlinear factors on the dynamic response of the system are analyzed. A variety of nonlinear dynamic behaviors of the system and the changing process of the nonlinear behaviors are observed.

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