Abstract
The transmission structure of a 2K-H multistage micro-planetary gear transmission reducer is described in detail, and three assumptions are supposed in dynamic modelling. On basis of these assumptions, a three stages 2K-H micro-planetary gear transmission dynamic model is established, in which the relative displacement each meshing gear pairs can be obtained after including the comprehensive transmission error. According to gear kinematics, the friction arms between the sun gear, the ring gear and the nth planet are also obtained, and the friction coefficient in the mixed elastohydrodynamic lubrication is considered, the transmission system motion differential equations are obtained, including above factors and the time-varying meshing stiffness, damping and backlash, inter-stage coupling stiffness, it can be provided an theoretical foundation for further analysing the parameter sensitivity, dynamic stability and designing.
Highlights
The micro-planetary gear transmission is widely used in aviation equipment, space technology and medical equipment, small cars and so on [1], because it has the characteristics of planetary transmission and miniature gear
The non-linear dynamic model of multistage microplanetary transmission including the tooth surface friction, time-varying meshing stiffness, comprehensive transmission error, backlash and inter-stage coupling stiffness in this paper, it can be provided a theoretical foundation for further dynamic analysis
The following assumptions are supposed in dynamic modelling: (1) All gears are involute spur gears and the tooth meshing force is always in the meshing plane; (2) The same stage planetary gears distribute evenly with the same quality, size and moment of inertia; (3) The bearing stiffness of each stage sun gear, carrier and planetary gears are linear stiffness
Summary
The micro-planetary gear transmission is widely used in aviation equipment, space technology and medical equipment, small cars and so on [1], because it has the characteristics of planetary transmission and miniature gear. The lubrication is a very important problem during the development of micro-planetary gear transmission[7], concerning about the friction field and establishing the nonlinear dynamic model of multistage micro-planetary gear have not been reported, but Zhu EnYong, et al [8]built the translational-torsional nonlinear dynamic model including the friction, timevarying meshing stiffness, backlash and comprehensive transmission error. Chen Fu, et al [12] built two-stage planetary gearbox coupling torsion dynamic model considering the tooth surface friction, time-varying meshing stiffness and inter-stage coupling stiffness. The non-linear dynamic model of multistage microplanetary transmission including the tooth surface friction, time-varying meshing stiffness, comprehensive transmission error, backlash and inter-stage coupling stiffness in this paper, it can be provided a theoretical foundation for further dynamic analysis
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