Abstract：The vibration analysis of a spiral bevel gear system with elastic support belongs to multidimensional nonlinear dynamics problem, its domain boundary structure in parameter plane is significative to restrain and control vibration. Based on the aviation spiral bevel gear, an seven degree freedom dynamic model is established. The vibration equations are solved by Adomian decomposition method. Based on cell mapping and Poincaré section,in the parameter planes of meshing frequency and bearing stiffness, meshing frequency and support damping, bearing stiffness and support damping, analysis on domain boundaries of different periodic domains and periodic domain with chaotic domain are obtained. In virtue of plots of domain boundary plane, vibration bifurcation types and structure in parameter planes are studied. The results are valuable in designing parameters and active controlling vibration, and prediction of the vibration form based on the range of system parameter.
刘宏;王三民;刘海霞. 弹性支承下弧齿锥齿轮系统参数平面中的域界结构研究[J]. , 2010, 29(12): 173-176.
Liu hong;Wang sanmin;Liu haixia. Domain Boundary Structure in Parameter Plane of A Spiral Bevel Gear System with Elastic Support. , 2010, 29(12): 173-176.
2010, Vol. 29 
