A band mechanism includes inter alia a flexible band and a disk profile. Such a mechanism can be used for path generation better than a four-bar linkage. Also several plane positions can be realized. This paper investigates the synthesis of four-bar-band mechanisms by using complex vector algebra. Several technical tasks demonstrate the flexible application of such mechanisms. These tasks are formulated according to the well-known Burmester Theory, but with higher claims and a solution achieved by analytical methods. Furthermore, this paper demonstrates that a four-bar linkage is a special case of a four-bar-band mechanism.

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