Meshing Sets of Somsky Gears
Somsky gears are sets of meshing gears that obey the Somsky
condition: the sum of the diameters of three gears spanning an outer gear
must equal the diameter of that outer gear. With this condition
met, the central or "sun" gear has significant freedom of motion.
This freedom of motion allows us to mesh two distinct pairs of
Somsky planet gears around the sun gear, and this page computes
the locations of the gears given the input values.
There are almost always multiple solutions; the "spread" and "narrow"
buttons permit you to explore the different solutions. The minimum
gap between gears is displayed as "mingap". The offset of the
center of the sun gear with respect to the center of the outer gear
is displayed as "offset".