An Indirect Method for Determining Accelerations in Complex Mechanisms

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Abstract
In complex mechanisms such as the six-bar, two-pivot linkage (Fig. 2) the graphical construction for determining accelerations can be simplified by starting from a point on the mechanism other than the point whose acceleration is known. Arbitrary values of velocity and acceleration can be assumed for the starting point, and the accelerations of other points can be obtained graphically on the basis of this arbitrary assumption. The accelerations so found can be converted into the actual accelerations in the mechanism by means of a simple formula which is derived in the paper. This indirect method of determining accelerations facilitates the analysis of compound mechanisms which consist of two or more mechanisms connected in series. The method also provides a useful check on values of accelerations which have been obtained by other methods.

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