Synthesis of Four Bar Mechanism for Function Generation with Optimum Transmission Angle

Abstract

The important and complementary area called kinematic synthesis, where mecha- nisms are created to meet certain motion speci cations, is touched upon only by a consideration of the simple aspect of planar linkage synthesis. Four-bar linkage has various applications like automobiles, endolite prosthetic knee, and mechanism for Steam Engines. Di erent methods are available for synthesis of the four-bar linkage and amongst these Freudenstein method has its useful characteristics in the synthesis problem. Kinematic synthesis by using complex Algebra is carried out, which gives results for synthesis of four bar mechanism for function generation. The formulation at three accuracy points has been taken. Chebychev Spacing formula are used for nding precision points from speci ed range of input motion. General solutions for determining link lengths of four bar mechanism for function generation with optimum transmission angle is carried out. The method is useful to synthesis the four bar mechanism for function generation where function is polynomial equation of second order. Synthesis is also carried out by Dyad method. The trans- mission angle is important criteria for the design of mechanism by means of which the quality of motion transmission in a mechanism at its design stage can be judged. It helps to decide the ` Best ' among a family of possible mechanisms for most e ective force transmission. In precision point approach, the desired motion characteristics are achieved at precision points only and at all other points there is structural error. Simulation of mechanism in motion View (HYPER WORKS) software is carried out. The generalized formulation obtained using MATLAB 7.6.