A new methodology for constructing multi-axes nomographs is developed. Using this methodology, a unified general formulation for computing velocities and torques of any epicyclic-type transmission train is presented. To demonstrate and apply the new technique, Ravigneaux automatic transmission is used to show how the velocities, the torques and the power flow through the train can be simultaneously visualized on a single nomograph. The present methodology is judged to be more efficient than other methods and than the three-ax nomograph methodology. Using this methodology an innovative design of two-input transmission with only one electric motor/generator (MG) and without any rotating clutches is presented. The proposed design provides some of the benefits and flexibility of a power-split design by using the conventionally available Ravigneaux gear train in a simpler mechanical layout which makes the design compact, mechanically simple, and operationally flexible.
Nomographs for Kinematics, Statics and Power Flow Analysis of Epicyclic Gear Trains
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Esmail, EL, & Hussen, HA. "Nomographs for Kinematics, Statics and Power Flow Analysis of Epicyclic Gear Trains." Proceedings of the ASME 2009 International Mechanical Engineering Congress and Exposition. Volume 13: New Developments in Simulation Methods and Software for Engineering Applications; Safety Engineering, Risk Analysis and Reliability Methods; Transportation Systems. Lake Buena Vista, Florida, USA. November 13–19, 2009. pp. 631-640. ASME. https://doi.org/10.1115/IMECE2009-10789
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