Abstract
In this study, based on the lumped-parameter theory and the Lagrange approach, a novel and generalized bending-torsional-axial coupled dynamic model for analyzing the load sharing behavior in the herringbone planetary gear train (HPGT) is presented by taking into account the actual structure of herringbone gears, manufacturing errors, time-dependent meshing stiffness, bearing deflections, and gyroscopic effects. The model can be applied to the analysis of the vibration of the HPGT with any number of planets and different types of manufacturing errors in different floating forms. The HPGT equivalent meshing error is analyzed and derived for the tooth profile errors and manufacturing eccentric errors of all components in the HPGT system. By employing the variable-step Runge–Kutta approach to calculate the system dynamic response, in conjunction with the presented calculation approach of the HPGT load sharing coefficient, the relationships among manufacturing errors, component floating, and load sharing are numerically obtained. The effects of the combined errors and single error on the load sharing are, respectively, discussed. Meanwhile, the effects of the support stiffness of the main components in the HPGT system on load sharing behavior are analyzed. The results indicate that manufacturing errors, floating components, and system support stiffness largely influence the load sharing behavior of the HPGT system. The research has a vital guiding significance for the design of the HPGT system.
Highlights
Herringbone planetary gear train (HPGT) possesses the advantages in power split, compact structure, large transmission ratio, high transmission efficiency, strong carrying capacity, and small axial force, and it has been widely applied in the transmission systems of wind turbines, nuclear power plants, aircrafts, ships, and vehicles
In this paper, based on the structure features of herringbone gears, a novel refined dynamic load sharing model for the HPGT considering manufacturing errors is presented by using the lumped-parameter method. e load sharing behavior of an example HPGT is numerically simulated, and the effects of manufacturing errors and system support stiffness on the dynamic load sharing behavior are analyzed
To investigate the effects of the support stiffness of the central member on the HPGT system load sharing coefficient LSC, it is assumed that only the support stiffness of the sun gear, ring gears, and carrier is changed while the other parameters are fixed
Summary
Herringbone planetary gear train (HPGT) possesses the advantages in power split, compact structure, large transmission ratio, high transmission efficiency, strong carrying capacity, and small axial force, and it has been widely applied in the transmission systems of wind turbines, nuclear power plants, aircrafts, ships, and vehicles. This would lose the advantages of herringbone planetary transmission, and on the other hand, this would lead to overload, vibration, and noise of some components, which affect the service life, stability, and reliability of the gear set [1]. Shock and Vibration significance to construct a refined dynamic load sharing model of herringbone planetary gears to develop an in-depth understanding of load distribution characteristics resulting from the inevitable manufacturing errors. Despite the extensive investigations on the PGT dynamics, there is little research on the effects of multicoupling manufacturing errors and system stiffness on the load sharing behavior of the HPGT system. In this paper, based on the structure features of herringbone gears, a novel refined dynamic load sharing model for the HPGT considering manufacturing errors is presented by using the lumped-parameter method. In this paper, based on the structure features of herringbone gears, a novel refined dynamic load sharing model for the HPGT considering manufacturing errors is presented by using the lumped-parameter method. e load sharing behavior of an example HPGT is numerically simulated, and the effects of manufacturing errors and system support stiffness on the dynamic load sharing behavior are analyzed
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