When automatic transmissions with more than two gears were introduced as automotive primary transmissions, the planetary gear systems became more complex with internally more than three shafts but still with two rotational degrees of freedom. Such larger systems were for long time treated as being composed by the abovementioned basic subsystems with given characteristics and governing equations. How to decompose a complex planetary gear arrangement into basic planetary gear sets became an art. In addition, some more systematic approaches for treating complex planetary gear trains have been proposed, e. g., based upon network theory. In 1999 the present author published a novel approach for the analysis, which was inspired of the theoretical background to the MultiBody System software. There the concepts of dynamics of constrained systems are applied. In a planetary system originally all shafts are assumed to rotate freely. Gear meshes constitute motion constraints, which constitute the constraint Jacobian matrix, facilitating considerably the formulation of torque equilibrium equations. Equations for both stationary and transient operating conditions may be systematically formulated in vector-matrix notation and solved by standard software (e. g., Matlab). To make the novel concept more visible and attractive for a broader audience, the present paper analyzes in detail the power distribution and losses in a contemporary commercial Aisin-Warner four speed automatic automobile transmission.


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    Title :

    Classical planetary gear train problems treated by novel powerful analytical methods


    Additional title:

    Untersuchung der klassischen Probleme der Planetengetriebe mit neuen leistungsfähigen analytischen Methoden


    Contributors:
    Mägi, Mart (author)


    Publication date :

    2006


    Size :

    12 Seiten, 3 Bilder, 4 Quellen


    Type of media :

    Conference paper


    Type of material :

    Storage medium


    Language :

    English





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