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建立了斜齿轮副的间隙型非线性扭振模型 ,其中考虑了斜齿轮副的啮合综合误差、齿侧间隙和时变啮合刚度。采用三维有限元法计算了斜齿轮副啮合刚度 ,用三次样条插值拟合得到时变啮合刚度函数。用数值积分方法对系统的非线性动力学微分方程进行了求解 ,获得了斜齿轮副在外转矩作用下受静态传动误差激励的非线性稳态强迫响应 ,并对系统的动态响应进行了测试 ,试验和理论计算结果的一致性证实了本文所提出模型和解法的正确性。
A non-linear torsional vibration model of helical gear pair was established, in which the meshing misalignment, flank clearance and time-varying meshing stiffness were considered. The three-dimensional finite element method was used to calculate the meshing stiffness of helical gears, and the time-varying meshing stiffness function was obtained by cubic spline interpolation. The numerical integral method is used to solve the nonlinear dynamic differential equation of the system. The nonlinear steady-state forced response under the external torque of the helical gear pair driven by the static transmission error is obtained, and the dynamic response of the system is tested. The consistency between the experimental and theoretical results confirms the validity of the proposed model and solution.