Abstract

The design of crank-rockers may be considered as a special case of synthesizing a function generator to match two prescribed velocity ratios, in which these velocity ratios are zero. The conception is based on the equations of relative poles. Like in the well-known planar case, where the loci of A 1 (crack-pin centre) and B 1 (rocker-pin centre) are both circles and straight lines, these loci in the spherical case are ellipses and great circles. Synthesis equations in simple trigonometric forms are presented for the spherical case, which are analogous to those in the planar case. Ranges of rotation angle φ 3 of the crank and those of the parameter φ 0, the initial position angel of the crank, are discussed. Simplified procedure for optimizing the transmission angles in both spherical and planar cases are described. Examples are given.

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