# Calculation Method of Rolling Impact Force of Modified Helical Gear Based on Contact Analysis of Tooth Bearing

Calculation Method of Rolling Impact Force of Modified Helical Gear Based on Contact Analysis of Tooth Bearing

Rolling impact can increase vibration, increase noise, worsen working environment and even affect the working life of gear transmission system.The research and analysis of rodent impact has important theoretical and practical significance for reducing vibration and noise during gear transmission and improving product quality.

For a long time, scholars at home and abroad have paid attention to the impact of rodent in gear transmission process.Wang Yufang and others analyzed the acceleration noise caused by impact during gear meshing.Yao Wenxi and others studied the meshing impact of involute spur gear.Tang Jinyuan et al. calculated the meshing impact speed of gear tip trimming. The research indicated that the impact of rodent and rodent impact can be reduced by tip trimming.Wu Baolin et al. calculated the impact speed and force during the transmission of involute gears, and analyzed the influence of transmission ratio, modulus, load and speed on impact force.Xie Haidong et al. analyzed the dynamic characteristics of helical gear drive system under meshing impact excitation by means of transient response analysis method.Zhou Changjiang et al. [7] established the impact friction model of line-side rodent and calculated the impact friction force and coefficient of friction at the contact point.Huang Zhonghua et al. [8] put forward a calculation method of gear meshing impact force during the transmission of involute spur gear.Winter et al. and Munro analyzed the harm of off-line meshing contact to gear drive.Weck and Jao believe that engagement impact can increase pitting on the tooth surface and thus reduce the normal life of the gear.Ling et al. completed the simulation of rodent impact with commercial finite element software and calculated and analyzed the impact force under different speeds and loads.Yu et al. proposed an LTCA model considering the impact of rodent impact, calculated the load-bearing transmission error, established a dynamic model, and analyzed the difference of influence of load-bearing transmission error excitation on the dynamic response of gear transmission system between considering and not considering the impact of rodent impact.Wang et al. analyzed the three-dimensional dynamic contact and impact of spiral bevel gears with commercial finite element software.

From the above literature analysis, it can be seen that the rodent impact is one of the main sources of vibration and noise during gear transmission, while the current research on rodent impact is relatively few.In addition, the research on rodent impact mainly focuses on spur gears, and the impact simulation model is relatively simple.For helical gears, as the load changes after tooth profile modification loading, the position of the impact point on the tooth surface changes along both the tooth profile and the tooth direction.At present, most of the simulation models can only reflect the position change of the rodent point in the direction of tooth profile, and can not be directly used to modify helical gears.In practical engineering, helical gears are widely used and tooth surface modification is carried out in most cases. Therefore, a new simulation model needs to be established to calculate the meshing impact force of modified helical gears more accurately.

In view of the above research background, a calculation method of meshing impact force of modified helical gear based on contact analysis of bearing capacity of teeth is put forward, and an example is given. In combination with the calculation method of meshing impact force proposed, an optimization model is established, and the optimum design of tooth surface modification with minimum meshing impact force is completed. The influence of tooth surface modification on meshing impact force is analyzed.

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