Most studies on path synthesis problems are to trace simple or smooth trajectories.In this work, an optimum synthesis for several special trajectories generated by a geared five-bar mechanism is studied using the one-phase synthesis method.The synthesis problem for the special trajectories, which is originally studied using the two-phase synthesis method discussed in the literature, is a real challenge due to very few dimensionally proportioned mechanisms that can generate the special trajectories.
The challenging special trajectories with up to 41 discrete points include a self-overlapping curve, nonsmooth curves with straight soiebiologique.com segments and vertices, and sophisticated shapes.The error function of the square click here deviation of positions is used as the objective function and the GA-DE evolutionary algorithm is used to solve the optimization problems.Findings show that the proposed method can obtain approximately matched trajectories at the cost of a tremendous number of evaluations of the objective function.
Therefore, the challenging problems may serve as the benchmark problems to test the effectiveness and efficiency of synthesis methods and/or optimization algorithms.All the synthesized solutions have been validated using the animation of the SolidWorks assembly so that the obtained mechanisms are sound and usable.