This report presents a new method able to isolate all configurations that a multi-loop linkage can adopt. We tackle the problem by providing formulation and resolution techniques that fit particularly well together. The adopted formulation yields a system of simple equations (only containing linear and bilinear terms, and trivial trigonometric functions for the helical pair exclusively) whose special structure is later exploited by a branch-and-prune method based on linear relaxations. The method is general, as it can be applied to linkages with single or multiple loops with arbitrary topology, involving lower pairs of any kind, and complete, as all possible solutions get accurately bounded, irrespectively of whether the linkage is rigid or mobile. ; This work was supported by projects: 'Reconstrucció i anàlisi del moviment de grans estructures robòtiques i bioquímiques.' (J-05265), 'Analysis and motion planning of complex robotic systems' (4802).


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    Title :

    A linear relaxation technique for the position analysis of multi-loop linkages


    Contributors:

    Publication date :

    2008-01-01


    Type of media :

    Miscellaneous


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629



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