Gear is an important basic component in mechanical transmission system, which is widely used in traditional and emerging fields such as machining, aviation, aerospace, shipbuilding, weapons, artificial intelligence, etc. The meshing angle of the traditional bevel gear pair is determined by the angle of the indexing circle. After the meshing angle is determined by the design and processing technology, the rotating meshing angle cannot be changed any more; In the traditional coupling device, there is a pair of shafts that can cross at various angles, but the range of various cross angles is not more than 30 °. In addition, too many angle restrictions can not meet the requirements for gear rotation speed. With the development of technology, there is an urgent need to coordinate the relationship between the intersection angles of gears in engineering, and this new type of gear is required to have the characteristics of high speed, high load-mass ratio and high reliability.
In order to solve this problem, the traditional multi-level bevel gear is used. However, it has the disadvantages of complex construction, high processing cost and large space. Therefore, people began to study the hemispherical bevel gear. Among them, the semi-spherical bevel gear studied by Park overcomes the limitation of traditional gear motion and can rotate at any intersection axis angle; Wang Baichao and others made detailed calculation and transient motion analysis on the mathematical model of the tooth surface of the hemispherical bevel gear. Chen Zhisheng and others studied the influence of static transmission error of spiral bevel gear on dynamic performance.
For the hemispherical bevel gear, only the research on its structure, mathematical model and transient dynamics has been carried out, and the analysis of the flexible dynamics of the hemispherical bevel gear is lacking. With higher and higher accuracy requirements, considering the elastic deformation and dynamic contact characteristics of the flexible hemispherical bevel gear becomes an urgent problem to be solved in the flexible multibody dynamics of the hemispherical bevel gear system.
The rigid-flexible coupling model of the hemispherical bevel gear system is established. The LMS solver is used to quickly solve the dynamic equation and display the dynamic characteristic curve in real time, so that various response data can be obtained conveniently. The simulation results show that the hemispherical bevel gear has different characteristic response under different shaft intersection angles. The flexible body dynamics simulation analysis provides an important reference value for the model design, machining and manufacturing of the hemispherical bevel gear and the optimization of gear transmission.