Research status of helical gear vibration and noise in China and abroad

The noise generated by structural vibration is an important noise source in helical gear system. In the design stage of helical gear system, it has become an important task to study its dynamic response and sound radiation characteristics, so as to formulate reasonable vibration and noise reduction measures. Especially after the 1960s, people have a new understanding of helical gear transmission and put forward new requirements. Many developed countries pay more attention to the research on vibration and noise of helical gear transmission system. In recent years, with the rapid development of computer science and technology, the research of helical gear vibration and noise has been promoted.

Meize Qingyan and others have made comprehensive and in-depth research on the dynamic modeling, vibration and noise analysis and computer simulation of helical gear system, and achieved some research results. Shigeru et al. Studied the variation law of vibration and noise after helical gear modification through experiments, and achieved some results in the relationship between helical gear machining accuracy and helical gear noise. Lee et al. Studied the tooth profile modification with the design goal of reducing the dynamic load and dynamic stress of spur gear with large coincidence degree. The research results show that the modification design parameters of minimum dynamic load of driving wheel are different from those taken in minimum dynamic stress design. Velex et al. Studied the impact of helical gear installation and manufacturing errors on the vibration and noise of helical gear transmission system. The research results show that the helical gear tooth profile error has a great impact on the helical gear vibration and noise, and the helical gear pitch error, pressure angle error and tooth direction deviation error have a certain impact on the helical gear vibration and noise. Nilsson et al. Took the transmission error of helical gear as the excitation, established the finite element dynamic response model and simulated the whistling of helical gear. The research of H ö HN et al. Shows that the excitation caused by helical gear contact is the main influencing factor of helical gear noise. The vibration and noise radiation of helical gear system can be reduced by tooth profile modification and tooth direction modification.

Similarly, the problem of gear vibration and noise has attracted great attention of domestic scholars. Li Xiaohua discusses the factors and control methods affecting the noise of gear transmission from the perspective of gearbox design, and believes that the vibration and noise of helical gear system can be reduced by controlling the linear speed of gear rotation and reasonable design of gear parameters. Tang He established the dynamic equation of the ideal gear by computer, simulated the vibration and noise spectrum of the ideal gear, and analyzed the influence of the machining or assembly error of the gear itself on the vibration and noise spectrum. Liu Youhan and others discussed the identification and analysis technology of vibration and noise, various control measures of vibration and noise and the effect of noise reduction. Xu Yudong obtained a large number of geometric parameter data of helical gear through transmission helical gear experiment, analyzed the influence of tooth profile shape deviation, helix shape deviation and pitch accumulation error on transmission gear vibration and noise, and established a mathematical prediction model of the relationship between helical gear manufacturing error and variable gear meshing noise based on multiple linear regression, The noise reduction measures of helical gear applied in engineering are experimentally studied. Different process methods have different effects on the noise of transmission helical gear. Huang Xiaoyan and others introduced the helical gear noise control method, such as improving the helical gear machining accuracy, improving the design parameters, improving the gear damping, increasing the driven gear helix angle, modification, etc. Shao Renping established the elastic mechanical model of gear according to the elastic theory, deduced the quantitative relationship between the vibration modal parameters of elastomer and acoustic modal parameters, and calculated the acoustic characteristic parameters such as sound pressure and sound power caused by gear meshing impact by using the acoustic theory, so as to obtain the vibration, sound radiation characteristic parameters and sound power of helical gear structure, The acceleration noise of helical gear can be calculated quantitatively. Zeng Zejun and others simplified the helical gear as a cylindrical three-dimensional finite element analysis model, studied the numerical calculation of vibration and acoustic characteristics of gear structure by alternately using structural finite element method and acoustic boundary element method, obtained the characteristic parameters of structural vibration response through frequency response analysis and calculation, and calculated the vibration and noise of helical gear system as boundary conditions. Li Kailing et al. Studied the influence of different tooth profile (correct involute, convex, concave, positive pressure angle and negative pressure angle) deviation of involute helical gear on the vibration and noise of helical gear through experiments.

To sum up, scholars at home and abroad have done a lot of research on the vibration and noise of helical gear system, mainly focusing on the influence of helical gear parameters, modification, assembly and manufacturing errors on gear vibration and noise; However, there are few studies on the influence of helical gear modification and friction excitation on gear vibration and noise.

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