Abstract
In this study, the dynamic model for the herringbone planetary gear transmission system is established by the lumped parameter method based on the system dynamics and the Lagrange equation, and the impact of the support stiffness and the torsional stiffness on dynamic characteristics is studied. The research results have a guiding significance for the design of the herringbone gear transmission system. In this model, the herringbone gear is treated as a special gear coupled by 2 opposite helical gears, where the stagger angle, comprehensive meshing error, support stiffness, support damping, and load inertia are considered in the analysis of dynamics. Moreover, the dynamic characteristic of the carrier is considered as well. By calculating the meshing force curve of the transmission system, the impact of the stagger angle, supporting stiffness, and the torsional stiffness on meshing force and load sharing coefficient is analyzed. The results show that the stagger angle has an obvious impact on load sharing coefficient while it has little impact on maximum meshing force. And the support stiffness has a more obvious impact on the dynamic characteristics of the system. The recommendary support stiffness of the system is that all of the support stiffness of the sun gear, planetary gear, ring gear, and carrier is 107 N/m. The torsional stiffness has little impact on the dynamic characteristics of transmission system, except the torsional stiffness of planetary gear, and carrier has an obvious impact on load sharing coefficient. The commercial software ADAMS carried out dynamics analysis of the transmission system to verify the necessity validity of the theoretical analysis.
Highlights
Herringbone gear planetary transmission system, which is one of the most important parts of wind power generator, is wildly used in ship, aviation, and other transmission fields because of its distinctive advantages, such as small volume, light weight, large transmission ratio, strong bearing capacity, high transmission efficiency, and so on
The results show that the stagger angle has an obvious impact on load sharing coefficient while it has little impact on maximum meshing force
The load distribution of planetary gears in the transmission directly affects the working life, stability, and reliability of gears. It is of great practical and engineering significance to carry out the dynamic load characteristics of herringbone gear transmission system
Summary
Herringbone gear planetary transmission system, which is one of the most important parts of wind power generator, is wildly used in ship, aviation, and other transmission fields because of its distinctive advantages, such as small volume, light weight, large transmission ratio, strong bearing capacity, high transmission efficiency, and so on. MO Shuai et al [3,4,5] proposed a new dynamic model of herringbone star gear transmission system to study meshing error, tooth thickness error, base circle error, and assembly error influencing the load sharing characteristic of GTF aeroengine. Kahraman A et al [10,11,12,13,14] researched the impact of gear indexing error on dynamic response of a typical multigrid gear system and compared subharmonic resonance of response with numerical integration result directly to prove the accuracy of prediction and predicted other nonlinear phenomena by nonlinear model and studied the variation of the position errors of the planetary gear and the accompanying star wheel under the condition of light load in the small module planetary gear system as well. The theoretical dynamic characteristic of system is verified through simulation
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