Graph-Based Efficiency Analysis of Simpson Gear Train

The power that flows through the links of a split-power gear train are formulated in terms of velocity ratios and local efficiencies. The power flow directions are deduced by nomograph method. The power losses are deduced by potential power method. The two methods are used to complement each other to study the efficiency of the Simpson gear train. A single equation is derived for the overall efficiency. Despite the simplicity and clarity of the current method, its results are consistent with what is available in scientific literature. The effect of the number of teeth, gear ratios, and overall speed ratio on the overall efficiency are also studied.