Abstract
Abstract This paper examines the problem of enumerating the assembly configurations (ACs), also called circuits, of planar non-single-input-dyadic (NSID) mechanisms. An SID mechanism is a multi-loop mechanism which can be defined by adding one loop at a time such that the mechanism has one degree of freedom (DOF) after each loop is added. An NSID mechanism is any mechanism that does not meet the SID criterion, i.e. it does not have one DOF after each loop is added. This includes all multi-DOF mechanisms, as well as some complex single-DOF mechanisms. The number of ACs of an NSID mechanism may be determined by defining the mechanism one loop at a time. The emphasis in this paper is on using graphical interpretation to determine the mobility regions of the mechanism which are preserved when each new loop is added to the mechanism. Several examples are given to demonstrate the use of this method, spanning the simpler NSID mechanisms, up to the three-loop, eight-bar linkage. The scope of this method includes mechanisms for which there are never more than 2 DOF when any loop is added. Only mechanisms with pin joints are considered in this paper.
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