We discuss the use of operations research methods for computer-aided design
of mechanical transmission systems. We consider how to choose simultaneously
transmission ratios and basic design parameters of transmission elements
(diameters, widths, modules and tooth number for gears, diameters of
shafts). The objectives, by the order of importance, are: to minimize the
deviation of the obtained speeds from desired; to maximize the transmission
life; to minimize the total mass. To solve this problem, we propose a
multi-level decomposition scheme in combination with methods of quadratic
and dynamic programming. Some industrial cases are solved. For these cases,
the developed software tool improves the design decisions by decreasing
total metal consumption of the transmission as much as 7–10% and
considerable simplifies the work of the designer.