基于动态啮合刚度的直齿圆柱齿轮动态特性研究

RESEARCH ON DYNAMICS CHARACTERISTICS OF SPUR GEAR BASED ON DYNAMIC MSEH STIFFNESS

齿轮系统转速直接影响齿轮系统的动态特性,然而在啮合刚度的计算中该因素却被许多学者们忽略。为了研究转速对啮合刚度的影响,基于有限元框架使用平均加速度法提出了一种计算与转速相关的动态啮合刚度的算法,同时对不同转速下的动态啮合刚度进行仿真计算与分析,最后进一步探究了受动态啮合刚度影响后的齿轮系统所具有的相关动态特性。分析表明,动态啮合刚度始终围绕着静态啮合刚度上下波动;随着转速的增加,其波动幅度增加,振荡次数减少;随着转速的变化,动态啮合刚度计算的动态传动误差振幅相对于静态啮合刚度而言大小关系不一致,且计算的齿轮系统共振转速区间或超前或滞后于静态啮合刚度模型;动态啮合刚度影响特定转速区间的齿轮系统的振动周期。对与转速相关的动态啮合刚度的研究可为直齿圆柱齿轮传动性能的改善及减振降噪提供参考。

The rotational speed of gear system directly affects the dynamic characteristics of gear system,but this important factor was often ignored by many scholars in the calculation of mesh stiffness.In order to study the influence of rotational speed on mesh stiffness,an algorithm of calculating the dynamic mesh stiffness which related to rotational speed was proposed based on finite element framework by using the average acceleration method.Meanwhile,the dynamic mesh stiffness under different rotational speeds was simulated and analyzed.Finally,the relevant dynamic characteristics of gear system which affected by dynamic mesh stiffness were further explored.The research results show that the dynamic mesh stiffness varies with rotational speed of gear system.With the increase of rotational speed,the fluctuation range of the dynamic mesh stiffness increases relative to the static mesh stiffness.The resonance speed range of the gear system calculated by dynamic mesh stiffness is either ahead or behind the static mesh stiffness,and the super harmonic response of dynamic mesh stiffness model is more obvious at high rotational speed.The research on dynamic mesh stiffness related to rotational speed can provide reference for improving transmission performance and reducing vibration and noise of spur gear.