人字齿同步带完全啮合区理论建模与啮合干涉影响研究

摘要

The meshing interference state influences the tooth surface abrasion between the synchronous belt and the pulley.Combining the spatial differential geometry with thegear meshing theory,the complete meshing region for double helical synchronous beltwas investigated and the model for synchronous belt and pulley in complete meshing region was established.The paper studied the influence of the spiral angle and pitch difference on the meshing interference and the meshing interference expression in different meshing location.The 3D meshing interference morphology model in complete meshing region was established.The influence of the meshing interference on the meshing interference morphology and the relationship of spiral angle and interference were obtained.The result shows that the meshing interference is the main factor influencing the meshing transmission noise and vibration and the interference in complete meshing region is related to the synchronous belt and pulley profile.The interference and meshing surface abrasion reduces with the increasing of spiral angle.It laid a solid theoretical foundation for vibration and noise reduction design of double helical synchronous belt transmission.%同步带的齿面磨损是主要失效形式之一,同步带与带轮齿面啮合干涉状态影响同步带齿面磨损.本研究以人字齿同步带完全啮合区为研究对象,采用空间微分几何和齿轮啮合原理,对完全啮合区同步带与带轮进行数学建模.研究节距差和螺旋角对完全啮合区啮合干涉影响,推导不同位置处的啮合干涉量表达式,建立啮合区三维干涉形貌模型,得到不同干涉量对啮合干涉形貌的影响以及螺旋角与干涉量之间的关系.研究表明:干涉量大小是影响啮合传动噪声和振动产生重要因素,完全啮合区干涉量的大小与带与带轮的齿形有关,且随螺旋角增大,干涉量变小,磨损变小,为人字齿同步带减振降噪设计和齿形修形设计提供依据.