Gas turbine engines use the Brayton cycle. Wankel rotary engines use the Otto cycle, but they do it in a very different way than four-stroke piston engines.

Reciprocating pumps convert rotary motion to linear motion. Pump speed in RPM determines the pumps output volume for any given combination of cylinder bore and piston stroke.

This paper by use of perturbation method found asymptotic periodic solution of piston stroke, and found rational periodic for periodic external force.