内平动齿轮副啮合综合刚度与系统的分岔特性

用机构反转法将内平动齿轮副转化为定轴齿轮副,然后用有限元方法分析了该内啮合定轴齿轮副的啮合综合刚度,并使用FFT变换得到其频谱特性,进而得到了内平动齿轮副的啮合综合刚度的频谱特性,在此基础上,考虑了齿侧间隙的非线性因素,进一步得到存在多齿接触的时变啮合刚度下内平动齿轮副的运动微分方程。然后,用经典的显式四阶Rouge-Kutta法对系统的各个参数进行了数值计算,得到系统的参数分岔图,并分析了各参数对系统动力学行为的影响。为内平动齿轮副的设计参数选择提供理论依据。

Meshing stiffness of an inner parallel moving gear pair and its bifurcation characteristics

It analysed the meshing stiffness of the inner meshing gear pair with fixed shaft and small tooth number difference， and obtained the frequency spectrum properties by FFT, which indirectly show the frequency spectrum properties of the inner parallel moving gear pair. Basing on that and considering the gear backlash, it presented the driving dynamics equations with multi-tooth meshing. Then, using classical explicit 4-order Rouge-kutta method, it solved the equation with different parameter and gained the parameter bifurcation figure which can show the effect of the different parameter. These results provides theory basis for designing inner parallel gear pair.