双圆弧齿轮转子系统的动态特性分析

Dynamic characteristics analysis of a rotor system in double circular arc helical gear

以双圆弧齿轮转子系统为研究对象,结合其啮合过程的变形特点,导出了其动能和势能的计算公式,根据拉格朗日方程建立了齿轮啮合的动力学模型。并根据其多点和多齿的啮合特点,采用分段式的方法计算其啮合刚度,将其与动力学模型相结合,采用数值分析的方法求解了系统响应和啮合力随激振频率的变化曲线。研究表明:采用分段式计算啮合刚度的方法来分析双圆弧齿轮是可行的,为双圆弧齿轮转子系统的动力学分析提供了理论基础。

The rotor system of double circular arc helical gears was set as the research object. The calculation formula of the kinetic and potential energy was derived combined with the deformation characteristics of the meshing process. The dynamic model of gear meshing was established based on the Lagrange equation. According to the meshing characteristics of the multipoint and multi tooth, meshing stiffness was calculated using the method of sectional stiffness calculation. The system response and meshing force variation curves with the excitation frequency were solved through the numerical analysis method. Study showed that the segmented meshing stiffness method was feasible to calculate and analyze the double circular arc gear. The results provided a theoretical basis for the dynamics analysis of the double circular arc gear rotor system.