Abstract
Herringbone planetary gear system (HPGS) has high power density and complex structure. The torsional flexibility of the left and right teeth of the sun gear is closely related to the dynamic characteristics of the HPGS. In this research, considering the coordination conditions of both sides torsional stiffness and axial slide of the sun gear, a new dynamic model of the HPGS considering the meshing phase difference between left and right teeth of the sun gear is developed based on the lumped-parameter method, and the influence mechanism of torsional stiffness and axial sliding is studied. Moreover, the dynamic parameters and dynamic characteristics of the HPGS are analyzed in the case of varying torsoinal stiffness and axial slide. The results show that the torsional stiffness of left and right teeth and the axial slide of sun gear have significant impacts on the dynamic parameters and dynamic mesh force response. With the increase of the torsional flexibility (the decrease the torsional stiffness), the sun gear and planet gear meshing stiffness and the maximum tooth surface load are both increased on the left side (input side) and decreased on the right side, but the main peak values and peak frequencies of dynamic response on both sides of the s-p meshing pairs decrease significantly. In addition, when the sun gear slides toward the output side axially, meshing stiffness and dynamic mesh force response main peak values decreased on the left side (input side) and increased on the right side, but the main resonance peaks frequencies keep the same.
Highlights
With the increasing power of wind turbines, the aero-space equipment, large machine tools, etc., the herring-bone planetary gear system (HPGS) has become the main research fields of planetary gear transmission system for its distinctive advantages of more compact structure, higher power density and greater carrying capacity
Where csn = ’sp À an, crn = ’rp + an, rbs, rbp and rbr represent the radius of the base circle of the sun, planet, and ring gears, respectively, and rc denotes the distance from the center of planet gear to rotation center of carrier, and ’ represents the transverse pressure angle, an represents the position angle belonging to nth planet gears, bib denotes the helix angle of the single helical gear on two symmetrical sides of the herringbone gears, and za represents the axial slide of the sun gear, eisn and einr denote respectively the transmission error on the nth s-p and r-p meshing pairs
When the torsional stiffness of the sun gear decreases from 5.2 Â 107 N m2 to 4.0 Â 107 N m2, the maximum meshing stiffness of left s-p meshing pairs is increases by 9.79%, and the right side decreases by 11.23%
Summary
With the increasing power of wind turbines, the aero-space equipment, large machine tools, etc., the herring-bone planetary gear system (HPGS) has become the main research fields of planetary gear transmission system for its distinctive advantages of more compact structure, higher power density and greater carrying capacity. Due to bearing installation clearance, manufacturing and installation errors, the meshing center points of the single helical gears on both sides of the sun gear and the planetary gear are not in the same vertical plane of geometric center These effects cause the axial sliding between left and right meshing centers, which will change meshing stiffness and dynamic mesh force response. In this investigation, a dynamic model of the HPGS including torsional flexibility between two symmetrical sides teeth of the sun gear is developed, based on the lumped-parameter method considering the torsional flexibility and the axial slide of the both sides teeth of the sun gear. The influences of change of torsional flexibility and axial slide of the both sides teeth of the sun gear on the dynamic parameters and dynamic characteristics for the HPGS are discussed
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