Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors

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.

Research on fault features of tooth broken in planetary transmission system based on vibration characteristics

“…In recent years, significant efforts have been made by scholars to explore the fault characteristics of gears and develop effective fault detection and diagnosis methods in the field of mechanical engineering.REN Fei [5][6] et alestablished a mathematical model of the dynamics of a herringbone planetary gear considering manufacturing errors and used the Runge-Kutta method to study the system's dynamic characteristics and load-sharing characteristics. Yu [7] et al established a virtual prototype model of a hole-pin type planetary reducer with small tooth difference, and obtained the results of dynamic meshing force and speed ratio of the system.…”

Load sharing performance analysis of planetary gear system considering the coupling effects of gear pair and journal bearing

“…Ge et al (2021) derived the parametric differential equations of PTS to calculate the load sharing coefficient. Based on simulation analysis, experimental research, and dynamic modeling method, Kim et al (2018), Ren et al (2021Ren et al ( , 2014, and Wang et al (2019) studied the load balancing performance of PTS and analyzed the effects of floating characteristics, pin-hole diameter and position error, bearing clearance, and error excitation on LSP. Considering the influence of floating set on the variation of pressure angle, overlap ratio, and meshing phase, Liu et al (2020) established the dynamic model of the PTS and analyzed the dynamic characteristics.…”

Efficiency Analysis of Herringbone Star Gear Train Transmission with Different Load-Sharing Conditions

“…ZHAO et al [15] researched the internal gear pair actual meshing transmission process of an involute cylindrical spur gear, and presented a calculation formula of internal gear pair actual meshing efficiency. REN's [16] results show that manufacturing error and the float of the component significantly affect the load-sharing characteristics of the herringbone planetary gear train, and that the float of the component can obviously improve the system load sharing performance; as manufacturing errors increase, the system load sharing factor increases. DAI et al [17] proposed a numerical method to calculate the dynamic mesh forces of planetary gear transmissions.…”