Strongly Nonlinear Gear System Periodic Solution Structure And Stability

In this dissertation, the author mainly studies the single-freedom nonlinear dynamic model of a spur gear pair with piecewise linear clearance. Two problems are solved in this paper. (1) to research the structure of periodic solution; (2) to research the problem of stability and bifurcation of the gear system.The periodic solution structure is researched by using of the Quasi-Fixed-Point Trace Method. In this paper, the method is improved to analysis the problem more availably. At first, through the example of Brussels Model, the validity of the method is verified. Then, the method is used to research the gear system. The periodic solution structure that how to change with the frequency and the damping ratio is discussed.The method of PNF(Poincare-Newton-Floquet), which can solve the periodic solution and judge it's stability, united with the principle of the continued bifurcation method and the dichotomy, is used to research the problem of stability and bifurcation of periodic motion. The method of CPNF(Continued-Poincare-Newton-Floquet) provides a better numerical tool for analyzing the nonlinear dynamic system.