Efficient Computational Techniques for Planetary Gear Train Analysis
We propose a novel analysis tool for planetary gear train representation. This extends the traditional concept of a lever representation of a planetary gear set to one that includes negative lever ratios. The resulting framework allows an exhaustive permutation of the nodes of a lever, thereby leading to all possible topological arrangements of a planetary gear train. Consequently, we achieve compact representations of large families of planetary gear trains, which would otherwise have to be dealt with on a case-by-case basis.
Analysis of power flow in a counter-rotating epicyclic gearing for electrical propulsion system
A novel compound epicyclic gearing that combines a planetary gear train with a differential gear train is designed for an electrical propulsion system of underwater unmanned vehicles. This epicyclic gearing can transform a single input into two counter-rotating outputs with equal torque amplitudes and speeds. Based on the analysis method of power flow in the differential gear train, the character of the power flow of the compound epicyclic gearing was determined. After comparing with the power distribution of input flow, the condition of this mechanism without power recirculation was investigated. Because the reactive torque of the motor stator is balanced by the torque on ring gear of planetary gear train, no net torque acts on the vessel being propelled.
A New Approach to Solving the Inverse Problem for Compound Gear Trains
The calculation of a gear train, if the concept is given (resolution of the direct problem) never poses fundamental problems, but is no help in its invention. The inverse problem (i.e., conception of a gear train if the kinematics are fixed) having never been approached in an analytical way, we propose, from the general formula of the ratios, one equation which allows us to resolve the inverse problem for every elementary or two-set nested gear train.