The pitch deviation of gears caused by machining leads to corner contact in actual meshing process. In order to study the influence of the pitch deviation on motion characteristics of the spur gear pair, meshing state functions are constructed to reflect multi-state meshing including mesh-in at corner contact, mesh-out at corner contact, single and double pair drive-side teeth mesh, single and double pair back-side teeth contact and tooth disengagement. The nonlinear dynamics model of spur gear pair with pitch deviations under multi-state meshing is established. Variation laws of dynamic meshing forces and meshing states for the spur gear pair are analyzed. The influence of main parameters on nonlinear dynamics of the spur gear pair with pitch deviations is investigated. Results indicate that the pitch deviation results in complex periodic motion as a short-period error in spur gear pair. It mainly affects transmission stability of the spur gear pair by changing meshing states. This investigation provides a theoretical basis for the parameter design of the spur gear transmission system and the influence of pitch deviation in other gear transmission systems.

机加工引起的齿轮螺距偏差会导致实际啮合过程中的角接触。为了研究螺距偏差对正齿轮对运动特性的影响，构造啮合状态函数以反映多状态啮合，包括角接触处的啮合，角接触处的啮合，单副和双副驱动侧齿啮合，单对和双对背面齿接触和齿脱离。建立了多状态啮合下变桨正齿轮副的非线性动力学模型。分析了正齿轮副的动态啮合力和啮合状态的变化规律。研究了主参数对变距正齿轮副非线性动力学的影响。结果表明，螺距偏差导致正齿轮副中的短期误差产生复杂的周期性运动。它主要通过改变啮合状态来影响正齿轮对的传动稳定性。这项研究为正齿轮传动系统的参数设计以及螺距偏差在其他齿轮传动系统中的影响提供了理论基础。