The contact dynamic modeling and analysis based on spline assembly feature information

Generally, there is clearance between internal and external spline for the convenience of assembly. Because of the error caused by the process of production and assembly, the clearance is not consistent. This causes nonuniformity of load distribution among spline teeth, which reduce the service life of spline and influence the quality of transmission. In order to analyze these phenomenon, a contact dynamic model based on spline assembly feature is presented. Here, an information model called spline assembly feature, which contains the information of dimension, tolerance and material, is established. Based on Dimensional and Geometrical Product Specification and Verification (GPS), the deviation of minor diameter face and tooth flank is calculated, and the specification surface model is generated based on Small Displacement Theory (SDT). The contact situation of spline engagement is analyzed. With the use of collision algorithm, actual contact state is simulated and the penetration depth of contact zone is obtained. Material mechanics analysis is performed to acquire the rigidity of teeth meshing. With the work above, a multi-rigid dynamic model of spline is established based on continuous contact force theory and Hertz contact theory. Two indexes are introduced to evaluate the nonuniformity of load on spline teeth under stable condition and impact condition. Results show that the model is more accurately to predict dynamic performance.