Spur Gear Transmission Nonlinear Dynamics Bond Bond Graph Modeling

Bond graph provides a multiple energy domain coupling analytical method, which can be used to simulate the multiple input and multiple output systems, linear and nonlinear systems. The state variables of bond graph are physical variables that can be in-depth described the process of state changes within the system. But it is hard to use bond graph model to express a micro mechanical system parameters, such as friction and clearance. In order to solve these problems, this paper has completed the following research work.(1) On the base of theory analysis, this paper established a common bond graph model that could reflect the dynamic characteristics of friction through introducing the concept of switched power junction. This model not only could comprehensive reflect the characteristics of friction both in the static state and in the dynamic motion, but also reflect the consume energy characteristics of friction.(2) According to the relationship between relative displacement and clearance, the contact force along the meshing line is divided into three statuses, and then presented the bond graph model of contact with clearance.20-sim is employed to studying the modeling.(3) Taking a gear system as study object, established bond graph model of friction, bond graph model of time-varying stiffness with clearance and bond graph model of static transmission error, respectively. On this base, a comprehensive bond graph model of gear system that including friction, clearance, time-varying stiffness and static transmission error is presented. Applying advanced software 20-sim to simulate the model. The results are compared with those from Matlab to check the bond graph model and verity its credibility.(4) Using experimental method measured the static gear transmission error and dynamic transmission error curve of a pair of gear, the results have been compared with values of theoretical calculation that based on bond graph model of this paper established. The results indicated that they have the same mesh frequency, but the amplitude has a little error, the conclusion verifies the accuracy and the possibility of the bond graph model.