Dynamic Simulation Analysis Of Spiral Bevel Gear Based On Adams Secondary Development

Spiral bevel gear transmission has many advantages,such as smooth transmission,strong bearing capacity,high transmission efficiency,stable transmission ratio and low noise.It is widely used in automobile,aviation,ship,mining and other engineering machinery fields.The tooth surface structure of spiral bevel gears is complex,and the influence of modification in manufacturing process makes it difficult to control the meshing quality.The introduced errors and deformation will cause vibration and noise of the system.Considering the real meshing situation from the gear tooth level can eliminate the homogenization effect of the gear model and accurately reflect the dynamic characteristics of the system,which is of great significance to the reliability and optimal design of the system.Therefore,in this paper,the dynamic contact model and dynamic characteristics of spiral bevel gears are studied based on the principle of machining and the parameters of machine tool settings,and the gear-tooth contact is taken as the basic calculation unit.Based on the processing principle of spiral bevel gears and the actual machine tool parameters,the tooth surface equation of spiral bevel gears is established,the discrete point coordinates of the tooth surface are solved and the corresponding gear model is obtained.According to the relationship between tooth orientation,the tooth surface contact equation and the edge contact equation of gears are established.The contact trajectory and transmission error curves of large and small gears are solved,and the influence of installation error on tooth surface contact analysis is studied.The calculation methods of single tooth time-varying meshing stiffness and comprehensive time-varying meshing stiffness of spiral bevel gears are studied.Based on the contact finite element analysis principle,the load-bearing contact analysis of gears is carried out.The equivalent position,equivalent force and comprehensive elastic deformation/comprehensive time-varying meshing stiffness of each meshing pair of spiral bevel gears under meshing state are calculated,and the non-meshing stiffness of gears and gear teeth is analyzed.Linear characteristics.The calculation method of contact parameters and the expression of contact force in the process of dynamic contact of gear teeth are analyzed.The dynamic contact model of gear teeth considering the non-linear factors such as time-varying meshing stiffness,dynamic transmission error and backlash of gear teeth is established to accurately calculate the dynamic contact force of gear teeth.Based on the gear-tooth contact model,the multi-tooth contact judgment conditions are deduced,and the dynamic contact model of gear is established.Based on ADAMS user subroutine,the calculation of complex functions and the judgment of multi-tooth contact in the dynamic contact model of gear teeth are realized,and the dynamic contact model of gear teeth is established.A compilation and simulation platform was built to analyze the dynamic response characteristics and dynamic contact force characteristics of spiral bevel gear model,and to verify the accuracy of the model.