Mechanism Synthesis for Path Generation Using the Curvature Based - Deflection Based Objective Function

摘要

This paper proposed a new curvature based path-description method for path-generation of planar mechanism, in which the position vector of a point on coupler, which follows most closely a predefined path, is directly calculated as a function of coupler motion properties. In addition this curvature based method makes it possible to define an objective function independent of rotation and translation transformations. Therefore, in this method, initial position, orientation, and coupler point vector parameters are not the optimization variable. These five parameters could be calculated as a function of other design parameters and they are found when these optimal values are obtained. Reducing five parameters of the optimal variables leads to a smaller design space and so less computation time to find the optimal result. Application of the method is also shown and its computation time and accuracy are compared with the result reported in the literature. It is found that this method is superior as it converges faster without loosing any accuracy.