This paper presents a simple numerical evaluation method for solving all possible assembly configurations on an any position of the input link of some complex planar linkages according to the structural theory of mechanism based on the ordered Single-Opened-Chains (S.O.Cs). This method can simultaneously checks on whether the input link is a crank of the linkage. This paper also discovers that full-cycle ratability (F.C.R) of a linkage depends on not only the length of links of the linkage but also the different assembly configurations of the linkage after analysis of assemblage configurations.

The illustration for solution and analysis of assembly configurations of a complex planar linkage is given in detail.

This paper provides the actual assembly of linkages and the optimization of structure synthesis of linkages with some important information.

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