齿轮系统传动轴受横向冲击的响应分析

Response of a transmission shaft impacted by joggled gear in the gear transmission system

将齿轮传动系统的齿轮轴承简化为具有集中质量的固支梁,将齿轮受到啮合齿轮的意外撞击看成是质量块对梁的冲击。给出弯扭组合的Mises屈服条件,指出传动轴受冲击时不能忽略扭矩作用。分析了弯曲和扭转作用下的结构响应,进行了应变率修正,给出特殊情况下弯扭响应的简化分析。算例表明,弯扭冲击下传动轴的横向位移和扭转角都较大,不可忽略应变率效应;传动轴直径是影响横向位移的重要因素。

The response of a transmission shaft in gear transmission system subjected to accidental impact by the joggled gear is simplified as that of a fully clamped beam stuck by an equivalent mass with an initial velocity, which is analyzed within the framework of rigid-plastic method. The effect of torsion is catered for in the Von Mises yield condition and that the strain rate effect is taken into account using Cowper-Symonds empirical constitutive equation. It is found that both the displacement and the rotation are relatively large and that the strain rate effect cannot be neglected. It is also found that the diameter of shaft is a crucial factor in the bending response.