As one of the common mechanical transmission modes, gear transmission is developing towards high speed, heavy load and high precision with the rapid development of science and technology, which also puts forward higher requirements for its dynamic performance. Herringbone gear not only has the advantages of stable transmission and high bearing capacity of helical gear itself, but also overcomes the wear of helical gear axial force on supporting bearings, making it an important transmission form of high-speed, heavy load and high-power transmission such as aeroengine and marine power. However, the teeth on both sides of herringbone gear are inevitably asymmetric, which is the main source of the herringbone gear’s eccentric load, axial vibration and noise, and seriously affects the service life, reliability and other performance of the gear system.
Because there are many factors that cause gear vibration, it is of great significance to understand the source of system vibration by analyzing the influence of various factors on various gear transmission systems. A simplified lumped mass model is established, and the effects of dynamic transmission error, high-order harmonic components of transmission error and time-varying meshing damping on the dynamic characteristics and dynamic stability of gear system in spur gear transmission are studied respectively. However, the lumped mass model is limited to the analysis of dynamic behavior and vibration characteristics of spur gear system. The vibration of a gear system composed of multiple components is studied, and the vibration characteristics of the gear system and the dynamic load coefficient of the gear are obtained through modal analysis. But this research mainly solved the vibration analysis of the spur gear system, and did not involve the axial vibration. The load changes on both sides of herringbone gear teeth are studied, and the meshing stiffness of herringbone gear pair is obtained by solving the flexibility on the meshing line. However, this study mainly focuses on herringbone gears with symmetrical teeth, without considering the influence of symmetry deviation on meshing stiffness. A dynamic model of herringbone planetary gear is established, which can be used in the process of dynamic analysis of variable speed. However, the influence of the tooth symmetry deviation on the axial vibration of the system has not been considered in this study. The dynamic characteristics of herringbone gear system at different speeds and torques are studied theoretically and experimentally. However, in theory and experiment, the influence factor of symmetry deviation on axial vibration is not considered, and the static contact analysis of gear transmission is carried out to obtain the time-varying meshing stiffness in the complete meshing cycle, which provides a method for calculating the meshing stiffness of herringbone gear transmission with symmetry deviation in this paper.
In the research of herringbone gear dynamics, TCA and LTCA techniques are used to calculate the internal excitation of the herringbone gear, establish the dynamic model of the herringbone gear system, and analyze the vibration of the system along different directions in the time domain and frequency domain. The dynamic model of herringbone gear system is built, and the influence of the accumulated pitch error on the dynamic characteristics of the system is studied by considering the important factors such as time-varying meshing stiffness and comprehensive meshing error. However, the literature did not consider the influence of herringbone gear symmetry deviation on meshing stiffness and axial vibration. The influence of axial fixation and axial displacement of herringbone gear drive pinion on the load distribution on the tooth surface is studied. Based on the eccentric load of the tooth surface, the method of obtaining the uniform load distribution on the left and right tooth surfaces through the composite modification design of herringbone gear is proposed by using the method of tooth surface bearing contact analysis, and the optimal modification amount is determined. However, the relationship between the deviation of herringbone gear symmetry and the eccentric load in the literature is not systematically described. The establishment of dynamic model of herringbone gear reducer transmission system is studied. The variation of time-varying meshing stiffness and transmission error is analyzed and calculated. The vibration response of the system in time and frequency domain is obtained. However, the influence of symmetry deviation on time-varying meshing stiffness of herringbone gear is not considered in this study. The axial vibration characteristics of herringbone gear transmission system at high speed are studied. The axial vibration of the system under the excitation of helix angle error, time-varying meshing stiffness and comprehensive tooth profile error is analyzed. However, the influence of symmetry deviation on the vibration of herringbone gear transmission system has not been considered in the literature.
The purpose of this paper is to propose and establish a multi degree of freedom dynamic analysis model of herringbone gear system considering symmetry deviation, study the influence of symmetry deviation on the axial vibration of herringbone gear transmission system, and verify the consistency between the theoretical analysis results and the experimental results.