Optimum Synthesis of Coupler Curve and Uniform Rotary Motion Driven Multiloop Mechanisms Generating Complex Output Motions

Abstract

Article presents analytical optimum synthesis techniques to synthesize coupler curve driven multiloop mechanisms to generate programmed rotary and linear output motions driven by uniform rotary input motion. Error minimization technique minimizing errors in the loop-closure equations is used. Velocity, acceleration, and higher order derivative constraints can be introduced. Solution of design equations formed requires no iteration. Only four types of coupler curve driven six-bar second loop dyads (RPR, RRR, RPP, and RRP) are obtainable. More loops are added to form eight-bar or ten-bar mechanisms. Crank-rocker 4R four-bar mechanism generates the driver coupler curve. Optimum design process, and related software program for graphics interactive synthesis of multiloop mechanisms containing the aforementioned dyads are presented. Third loops forming eight-bar mechanisms to improve efficiency and enlarge strokes are also included. Application examples are given.