Both the drive- and back-side contact mesh stiffnesses (two-sided contact mesh stiffness) for a new type of conical involute gear (NTCIG) is developed analytically. Instead of the conventional spring preload anti-backlash method, an active control strategy to eliminate the time-varying backlash is presented by adjusting the axial displacement of the driven gear. The dynamic transmission error (DTE) of the gear pair is calculated under different load excitations to analyze the differences between the drive- and back-side meshes under a time-varying backlash with anti-backlash conditions based on the NTCIG model with an eccentricity error. Considering the additional rotational angle caused by the anti-backlash and the differences from the two-sided contact, the theory of no-load transmission error for the NTCIG is modified by agreeing considerably well with the low component of the DTE. Moreover, the DTE curve under varying load excitations showed that the dynamics of the NTCIG improved considerably after backlash compensation. The drive- and back-side tooth meshes were analyzed according to the DTE of NTCIG with backlash control under various external excitations at different speeds and variable initial phases, frequencies, and amplitudes of the sinusoidal load.

通过分析开发了新型圆锥渐开线齿轮（NTCIG）的驱动侧和背面接触网刚度（两侧接触网刚度）。代替传统的弹簧预紧防反冲方法，通过调整从动齿轮的轴向位移，提出了一种主动控制策略来消除随时间变化的反冲。基于带有偏心误差的NTCIG模型，计算了在不同负载激励下的齿轮副的动态传动误差（DTE），以分析时变反冲条件下在反时差条件下传动侧和背面啮合的差异。 。考虑到由反冲引起的附加旋转角度以及与两侧接触的差异，NTCIG的空载传输误差理论通过与DTE的低组成部分相当一致而得到了修改。此外，在变化的负载激励下的DTE曲线表明，在进行背隙补偿后，NTCIG的动力学性能大大提高。根据NTCIG的DTE对带有反向间隙控制的传动和背面齿孔进行了分析，这些齿隙在各种外部激励下以不同的速度和正弦载荷的可变初始相位，频率和振幅进行了控制。