Influence mechanism of multi-coupling error on the load sharing characteristics of herringbone gear planetary transmission system

Abstract

The load sharing characteristics of the herringbone planetary transmission system are a key indicator for evaluating the bearing stability and reliability of each planet gear in the transmission system. The value of the load sharing coefficient is closely related to the manufacturing error and the assembly error in gear processing and assembly process. Therefore, it is indispensable to study the influence mechanism of these errors on the load sharing characteristics of the transmission system. Nevertheless, researches on the multi-coupling transmission error to the load sharing characteristics of herringbone planetary transmission system did not receive enough attention, but much of the single errors. Based on the centralized parameters theory and the Lagrange method, this research establishes a dynamic model for herringbone planetary transmission system and creatively proposes a study of multi-coupling error which consists of eccentric error, tooth profile error, stagger angle and assembly error. This work shows that the changing regulation of the load sharing characteristics with any one of the above errors is different. However, the load sharing characteristics become worse with the increase of multi-coupling error, in which the eccentric error plays a main role. Therefore, the error control should focus on eccentric error.

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

“…In order to verify the validity of theoretical calculation in the present study, the approaches of comparing the obtained research results in the paper with the existing literature are mainly adopted to validate the correctness of the proposed model and method. Influence curves of carrier eccentricity Ec on the HPGT LSC shown in Figure 9 in this research have a similar tendency and changing law with Mo's investigation in [19], and both of them show a good agreement. e LSC curves of the left and right sides shown in Figure 10 are the same, which is consistent with Mo's study in [19].…”

“…Influence curves of carrier eccentricity Ec on the HPGT LSC shown in Figure 9 in this research have a similar tendency and changing law with Mo's investigation in [19], and both of them show a good agreement. e LSC curves of the left and right sides shown in Figure 10 are the same, which is consistent with Mo's study in [19]. Moreover, all the variation curves of LSC of each planet gear in Figures 10 and 11 in the present investigation exhibit the periodically changing trend, and just these are relatively consistent with [19,20].…”

Investigation of Load Sharing and Dynamic Load Characteristics of a Split Torque Transmission System with Double‐Helical Gear Modification

“…Ren et al [11] established a generalized dynamic model for a herringbone planetary gear train which considers the manufacturing eccentric errors of components and tooth profiles errors. 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. Mo et al [14] proposed a new dynamic model for double-helical star gearing system and obtained the vibration model, natural characteristics, and dynamic response of the system.…”

“…Meshing error [11][12][13][14], time-varying meshing stiffness (TVMS) [23][24][25][26], and meshing-in impact [27][28][29][30] are important internal excitation of gear transmission system. Periodic TVMS excitation is the most obvious feature of gear system vibration that distinguished it from most mechanical systems.…”

Theoretical analysis of the vibration modes of the star herringbone gear transmission system

“…They also utilized a holistic analysis method 12 for wheel hub planetary systems and studied the relationships between the transmission efficiency and the noise, vibration, and harshness refinement. Mo et al 13 established a dynamic model for a herringbone planetary transmission system based on the centralized parameters theory and Lagrange method and proposed a method for studying the multi-coupling error, which consists of the eccentric error, tooth profile error, stagger angle, and assembly error. Sondkar and Kahraman 14 proposed a linear, time-invariant model of a double-helical planetary gear set and used the modal summation technique to find the forced response due to periodic gear mesh excitations under constant or proportional modal damping conditions.…”