Abstract

To promote the engineering application of composite transmission of high speed curve face gear, which consists of a cylindrical gear and a high speed curve face gear, the analysis of tooth bending stress should be taken into consideration. High speed curve face gear pair is a new type of curve face gear pair. Combined with the principle of high speed cam and curve face gear pair transmission, it can transfer the axial/rotation composite motion and power between two intersecting shafts. Based on the gear engagement principle, the gear meshing coordinate system was established and the fundamental of the high speed composite transmission was expounded. Combined with the tooth profile equation of generating gear, the tooth surface equation of high speed curve face gear was gained. Tooth force, contact ratio and normal load distribution were calculated. Then the tooth bending stress of high speed curve face gear during the transmission was calculated and analyzed in detail. Influence of basic parameters on tooth bending stress was discussed. Finally, the simulation and measurement experiment of tooth bending stress was carried out. By the comparison analysis of simulation, experiment and theory, the correctness of tooth bending stress calculation method was verified, which has important guiding significance for the further research of high speed curve face gear of composite transmission.

Highlights

  • Rotation and axial movement composite motion is highly applied in, for instance, agricultural machinery, textile machine, light industry machine, cleaning agencies and tool changing mechanism [1].Common organizations that can realize rotation and axial composite motion are curve face gear pair, noncircular gear, and combination mechanisms, which contain linking rod and cam combination mechanisms [2], camlinkage combination mechanisms [3], gear-cam combination mechanisms [4], gear-linkage combination mechanisms and hydraulic-gear combination mechanisms [5]

  • Whenever pinion rotates at a certain angle, high speed curve face gear can realize composite motion of axial movement and rotation at the same time, and various composite motion can come true combined with the change of s(u2)

  • In the process of high speed curve face gear composite transmission, in order to maintain the continuity of motion and power, the actual contact ratio of the gear pair must be greater than 1, that is, there are multiple pairs of gear teeth engaging at the same time

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Summary

Introduction

Rotation and axial movement composite motion is highly applied in, for instance, agricultural machinery, textile machine, light industry machine, cleaning agencies and tool changing mechanism [1]. Combining the characteristics of curve face gear and cam organization, it achieves high speed composite motion through changing the gear pitch curve, and can take over many ordinary combination organizations. This is significant for simplifying mechanical structure and equipment lightweighting. Compared with ordinary combination organizations, this gear pair has superiority in greater functionality and uncomplicated structure, while this mechanism is currently not easy to design and manufacture. The correctness of theoretical calculation method was verified, which laid the foundation for following design and application

Analysis of composite motion mechanism
Tooth surface equation of high speed curve face gear
Tooth bending stress analysis
Contact ratio
À sin l1 cos l1 Ru2 À r sin a1 3
Normal load distribution
Calculation and analysis of tooth bending stress
Influence of basic structural parameters on the tooth bending stress
Finite element analysis
Experimental analysis
Conflict of Interest
Conclusions

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