A review of the most common type of objective used in mechanism synthesis have been carried out. For the simple case of the planar Ackermann steering linkage the properties of these objective functions have been investigated via 3D representations and numerical experiments. The calculation of the maximum absolute error in maximum norm based objective functions has been solved for the first time as a one-dimensional optimization problem, and some benefits of this approach highlighted. A new norm named 'square-max norm' has been proposed to be used in defining objective functions, which has all the benefits of the known maximum norm based objective functions, and in addition ensures tangent and curvature continuity near the optimum. The influence of the number of design points n upon the optimum solution in the case of maximum norm based objective functions suggested starting the optimization with a small n and increase its value as the search approaches optimum; the benefits are an increased exploratory effect of the search and a reduction of the overall computation effort. Also beneficial can be the successive use of different objective functions during optimization, however, with the disadvantage of increasing the problem preparation time. Finally, a number of 3D parametric design charts have been proposed that can help the automotive engineer in determining the optimum geometry of the Ackermann steering linkage of a vehicle. Performance charts of the maximum steering error and pressure angle in the joints have also been provided, together with a study of the sensitivity of the mechanism error upon parameter variation. This sensitivity analysis is particularly useful when a selection has to be made between a trailing or a leading Ackermann linkage, or when designing an adjustable wheelbase or wheel track vehicle.


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    Title :

    Optimum synthesis of the four-bar function generator in its symmetric embodiment: the Ackermann steering linkage


    Additional title:

    Optimalsynthese der Viergelenk-Funktionsgruppe in ihrer symmetrischen Realisierung: das Ackermann-Lenkgestänge


    Contributors:

    Published in:

    Mechanism and Machine Theory ; 37 , 12 ; 1487-1504


    Publication date :

    2002


    Size :

    18 Seiten, 11 Bilder, 1 Tabelle, 22 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English





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