The split torque gear transmission holds significant potential for use in helicopter main reducer transmission systems due to its benefits of low noise, high power-to-weight ratio, and high reliability. In this context, a nonlinear dynamic equation was formulated in the present study for a single-input dual-output gear split-torque transmission system, and the system's dynamic behavior was examined under the effects of center distance error and backlash using the fourth-order Runge-Kutta method. The findings indicate that the impact of center distance error on the system's dynamics is linear, whereas the effect of backlash is nonlinear. Moreover, the center distance error in the parallel-level stage and the backlash in the split-torsion stage are critical factors influencing the system's dynamic characteristics. These insights can aid in selecting and allocating design parameters, offering valuable practical applications in engineering.
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