Numerical Simulation And Power Flow Analyse On A Meshing Gear Pair With Backlash Nonlinearity

The gear system is widely used in various industry equipments, the gear system may produce vibration and noise, which is one of the key factors to make dynamic perform of machinery equipment worsen. Study the nonlinear dynamic of the meshing gear system is the focus of control technique domain about the vibration and noise of the gear system, as well as the prospective work and the intending study direction of vibration and noise deduced by the gear system. The import intension of energy decide the size of vibration range, the method use the Power Flow of vibration to evaluate the intension of vibration have been put into use in many engineering fields; this method based on vibration energy can describe the integrate dynamic state of vibration system better than the traditional dynamical response, so people put more and more recognition on this method. In this paper , we base on control the vibration noise of Roots blower vacuum pumps, discuss apply the Power Flow method to research the gear system nonlinear dynamic, and may help analyse the vibration and noise of nonlinear meshing gear system , design the parameters of gear system effectively.In this paper, we predigest the meshing gear system, and build one freedom oscillators with backlash model. In the model, we integrate the time-varying stiffness, the backlash, the errors in fix and so on. We analyse the vibration power based on the dynamic model, and discuss the method of apply power analyse the vibration performance. We use traditional Power Flow to describe the vibration intension of period movement and use the direction of time average Power Flow to describe the vibration energy level of non-period movement.And we deduce the time-field simulation arithmetic of system move equation and the vibration Power Flow function, use the method of Runge-Kutta-Felhberg to find the result of numerical value. Through the numerical value to describe the nonlinear gear system movement, and use chart such as the Point mapping, Cell mapping, based on Poincare mapping theory, judge the system movement. Analyse the steady stiffness and the time-varying gear system, study the period movement, the non-period movement, the chaos and the bifurcation. Calculate the Power Flow of certain parameter meshing gear system movement, through compare the complete attraction and the bifurcation about one certain parameter, study the change of system Power Flow and the connection between it and the gear system movement. Point the main factors about the gear system Power Flow and the effect of main system parameters on the Power Flow level.