On the Carter-Hall circle and its application

Abstract

Velocity diagrams are employed to establish the Carter-Hall circle [2] and the expression for its diameter in a simple way. These diagrams also lead to simple grapho-analytical methods for the fifth-order function-generation synthesis of the four-bar mechanism and the determination of the Burmester points of infinitesimal motion. The related determination of the circling point curve and Ball's point have been considered in a previous article [8].