建立了综合考虑齿侧间隙、时变啮合刚度、综合啮合误差等因素的直齿轮副的单自由度非线性动力学模型,利用变步长Runge-Kutta法对单自由度运动微分方程进行数值求解.结合系统的分岔图、相图、Poincare映射图以及FFT频谱图,分析了系统在不同侧隙值下,阻尼比变化时的动力学特性,得到了系统的混沌运动形成过程.
A nonlinear dynamic model for a spur gear pair system was established wherein the backlash and the time-varying stiffness and the transmission error were considered.The nonlinear single-degree-of-freedom equations were solved by employing the variable step-size Runge-Kutta integration method.The nonlinear dynamic characteristics of the system were discussed for different clearance values based on bifurcation diagrams, phase portraits,Poincare maps and Fourier spectra.Finally,the chaotic motion was obtained.