Synthesis of adjustable four-bar mechanisms generating circular arcs with specified tangential velocities

This work proposes synthesis methods to design the mechanism that is adjustable for tracing variable circular arcs with prescribed velocities. The constraint equations and useful properties of the desired mechanism are derived by using the concept of cross-ratio. The desired mechanism can be a crank-rocker or a slider-crank mechanism. The coupler curve of the mechanism, if necessary, can be symmetrical to itself. The practical applications of the mechanism are also discussed.