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Abstract

It has been known for some time that, in single-degree-of-freedom differential systems, the sensitivity of the overall transmission ratio to a change in ratio of one of the differentials is proportional to the fraction of the input power flowing in the relevant differential. A complete and general proof of this theorem is presented, using matrix algebra, determinants and a coherent subscript notation.

The theorem provides a direct method for calculating the internal power flows during the synthesis of multi-epicyclic systems, and defines a theoretical limit to the ratio range and efficiency of a split-path continuously variable transmission.

Analysis of the Allison WT is used to illustrate application of the theory to a change-speed transmission.

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References

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Power Flow and Ratio Sensitivity in Differential Systems

Abstract

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References