偏心误差影响下的斜齿轮摩擦激励计算方法

为了研究含偏心误差的斜齿轮副摩擦激励计算方法，建立单级含偏心误差斜齿轮副几何模型，推导斜齿轮副的动态啮合角、瞬态节圆半径以及瞬态传动比的计算公式.将单对齿接触线的长度变化过程以分段函数的形式表示，进而叠加求得参与啮合的各齿对接触线总长度，将各条接触线以节线为界分为2段，计算齿轮副齿面摩擦力及摩擦力矩，与未考虑偏心误差时斜齿轮副接触线长度、摩擦力及摩擦力矩进行对比分析.结果表明：当考虑偏心误差后，接触线长度、摩擦力及摩擦力矩都变得更加复杂，频域曲线在啮合频率处出现峰值，在输入及输出轴转频处出现峰值，在啮合频率两侧出现许多转频的边频，影响了传动系统的稳定性.
Abstract: In order to analyse the calculation method of friction excitation of helical gear pair with eccentricity error, the formulas of dynamic working pressure angle, transient pitch radius and transient transmission ratio were derived by establishing the geometrical model of a single helical gear pair. Describing the variational process of the contact line of a single tooth pair by piecewise function, the total contact line length of all meshing tooth pairs could be got by addition. The friction and frictional torque were obtained through cutting off the contact line into two segments with pitch line and compared with the results without considering eccentricity error. It shows that when considering the geometric eccentricity, the length of contact line, friction and frictional torque are more complicated, and the frequency spectrum peaks appear both at meshing frequency and shaft rotational frequency; and meanwhile, side frequency band occurs with the meshing frequency as central frequency and affects the stability of the transmission system.