Abstract
A new dynamic model for a two-input two-path split torque transmission system which considers meshing error, time-varying meshing stiffness, and meshing-in impact is proposed. Time-varying meshing stiffness and meshing-in impact of each gear pair are accurately calculated based on tooth contact analysis and loaded tooth contact analysis. Equivalent displacements of eccentricity error and installation error along the meshing line of second- and third-stages gears are derived. The modified tooth surface of a third-stage double-helical gear is obtained by optimizing the amplitude of static loaded transmission error and meshing-in impact via nondominated sorting genetic algorithm-II (NSGA-II). Influence of modification on load sharing and dynamic load characteristics of split torque transmission system is investigated. The results indicate that the system’s dynamic meshing force increases when meshing-in impact is accounted for, which is unfavorable for the transmission. Following the modification of a double-helical gear, the dynamic load characteristics of the split torque transmission system are significantly improved, while its load sharing characteristics are improved to a certain extent.
Highlights
Representing a new and advanced configuration designed to replace the planetary transmission, the split torque transmission system (STTS) is increasingly employed in helicopter main reducer [1,2,3,4,5]
E loaded tooth contact analysis (LTCA) model can be used to accurately calculate the comprehensive meshing stiffness of each gear pair, and the time-varying meshing stiffness of each gear pair can be obtained by expressing it in the form of Fourier series, which can be directly introduced into dynamic equations of twoinput two-path STTS
The reversal method is used to calculate the meshing-in impact of standard involute spur gears and double-helical gears, and the meshing-in impact of spiral bevel gears and modified double-helical gears is accurately calculated based on tooth contact analysis and loaded tooth contact analysis
Summary
Representing a new and advanced configuration designed to replace the planetary transmission, the split torque transmission system (STTS) is increasingly employed in helicopter main reducer [1,2,3,4,5]. Liu et al [9] analyzed the influence of the profile error before and after the gear tooth separation on the vibration and dynamic meshing force of the herringbone planetary gears. Mo et al [12, 13] investigated the influence mechanism of multicoupling errors, flexible support stiffness, and floating components on load sharing characteristics of a herringbone planetary transmission system. Hu et al [21] established the gear-shaft-bearing dynamic model of two-path STTS and analyzed the influence of factors such as shaft angle and DH gear stagger angle on the system’s dynamic characteristics and load sharing characteristics. Dynamic model of a two-input two-path STTS accounting for meshing error, TVMS, and meshing-in impact is established. The modification influence on load sharing and dynamic load characteristics of two-input two-path STTS is investigated. The modification influence on load sharing and dynamic load characteristics of two-input two-path STTS is investigated. is research has important theoretical guidance and significance for the load sharing design of STTS and application of DH gear modification technology in helicopter main reducer
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