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针对由弧齿锥齿轮和行星轮系构成的直升机传动系统,构建了纯扭振动模型,采用集中参数法建立了齿侧间隙非线性动力学方程.通过有限元方法求得了时变啮合刚度,采用4-5阶变步长Runge-Kutta法对动力学方程进行了数值求解,借助动载系数、相图、Poincaré截面图、快速傅里叶变换频谱图等分析手段,研究了传动系统在时变啮合刚度、齿侧间隙、综合传动误差、外载荷等多种激励作用下系统的动载特性.结果表明啮合刚度对传动系统的影响最大,动载系数最大值为1.5;齿侧间隙对系统响应特性的影响是有限的;啮合误差在一定程度上抑制了齿轮系统的振动;外载荷波动对不同速级的影响不同,动载系数最大值发生在并车传动.
A pure torsional vibration model was established for the helicopter drive system composed of spiral bevel gears and planetary gear trains, and the nonlinear dynamic equation of the flank clearance was established by using the centralized parameter method. The time-varying meshing stiffness was obtained by finite element method 4-5 step-by-step Runge-Kutta method was used to solve the dynamic equations. By means of dynamic load coefficient, phase diagram, Poincaré section and fast Fourier transform spectrum analysis, The results show that the meshing stiffness has the most influence on the transmission system, the maximum value of the dynamic load coefficient is 1.5, and the response of the flank clearance to the system The influence of the characteristic is limited; the meshing error suppresses the vibration of the gear system to a certain extent; the influence of external load fluctuation on different speed classes is different, and the maximum value of dynamic load coefficient occurs in the drive of the car.