Abstract
This paper presents an algebraic solution of the velocity fluctuation in a spatial four-link mechanism. The geometric conditions governing the existence of extreme velocity ratios in a spatial four-link mechanism having one revolute pair, one prismatic pair, one spherical pair, and one cylinder pair have been obtained. It is shown that, in the general case, the extreme velocity ratios must be among the real roots of a tenth degree polynomial in kinematic parameters of the mechanism. Numerical examples are presented to illustrate the described procedure.
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