Vibration characteristics of spur gear pair based on the randomness of error and tooth surface friction: (1) Using the method of probability and statistics, the random characteristics of error and spur gear tooth surface friction parameters are mathematically characterized, the existing geometric model is modified, the mathematical mapping model...
With the development of spur gear transmission system towards high speed and high power density, how to solve vibration and noise reduction has become the primary problem of spur gear transmission with high efficiency, low noise and high durability. The changes of gear processing, assembly form and operating environment...
Ideally, the meshing form of spur gear pair is shown in Figure 1. It can be seen that one end of the gear teeth is “perfectly engaged”, and the other end has a certain gap due to the existence of backlash. However, due to errors, time-varying meshing stiffness and...
The large number of studies have proved that dynamic excitation is the main cause of spur gear vibration, which is mainly divided into internal excitation and external excitation. Since external excitation refers to the excitation of spur gears by other components in the system and the effective torque and...
(1) Time-varying meshing stiffness Because the gear teeth will produce elastic deformation when the gear is engaged, and the gear coincidence is usually a real number greater than one, the gear comprehensive stiffness will change periodically with the change of the number of teeth when the gear pair is...
Set the initial state of the spur gear pair to zero, set the rectangular peeling at the pitch circle of the driving wheel, and the width HS of the peeling area is 0.5 mm. Other parameters are shown in Table 1 to table 3, Parameters Driving wheel Driven wheel...
The dynamic model of 8-DOF spur gear pair is established by Lagrange equation. The system equation is: Where: FM is the dynamic meshing force of spur gear; RB1 and Rb2 are the radii of the driving wheel and the driven wheel respectively; IF1 and IF2 are the moment of...
For tooth surface contact temperature: Δ T. Mainly determined by the temperature of spur gear body Δ M and tooth surface flash temperature Δ F is composed of two parts, namely: Spur gear body temperature Δ M is generally assumed to be constant, and the tooth surface temperatures of...
It is assumed that the spalling fault shape of spur gear driving tooth surface is matrix (as shown in Fig. 1), where the spalling length is as, the spalling width is BS, and the spalling depth is HS. Then, according to the energy method, the analytical formula for calculating...
Involute spur gear pair is widely used in modern mechanical system because of its excellent performance. The working performance of spur gear pair is deeply affected by the meshing stiffness, so that the meshing stiffness becomes the main excitation source of the vibration of spur gear pair. Under the...