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准确计算时变啮合刚度是齿轮系统动力学研究的基础.针对航空高速重载螺旋锥齿轮,基于轮齿接触分析(TCA)和轮齿加载接触分析(LTCA)通过计算瞬时接触点的轮齿变形柔度建立了时变啮合刚度数值模型;将齿轮时变啮合刚度在一个啮合周期内视为逐段线性,基于Floquet理论推导了含时变刚度参数振动系统的状态转换矩阵解析式;通过修正小轮机床调整参数设计三种接触情况,分析了算例齿轮在相同载荷工况下的接触轨迹、传动误差、重合度和时变啮合刚度;采用二自由度齿轮系统动力学模型考察工作转速范围内的周期运动不稳定区间,分析了时变啮合刚度对螺旋锥齿轮系统参数振动稳定性的影响.
Accurately calculating the time-varying meshing stiffness is the basis of the research on the dynamics of gear system.According to the gear tooth contact analysis (TCA) and gear tooth loading contact analysis (LTCA), the tooth distortion of the instantaneous contact point The numerical model of the time-varying meshing stiffness was established based on the flexibility. The time-dependent meshing stiffness of the gear was regarded as piecewise linear in a meshing period. Based on the Floquet theory, the state transition matrix of the vibration system with time-varying stiffness parameters was derived. Three contact conditions were designed for the machine tool adjustment parameters. The contact trajectory, transmission error, coincidence degree and time-varying meshing stiffness of the example gear under the same load condition were analyzed. The dynamic model of two degrees of freedom gear system was used to investigate the working speed range , The influence of time-varying meshing stiffness on the vibration stability of spiral bevel gear system is analyzed.