PURE TART CHERRY JUICE 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 segments and vertices, and sophisticated shapes.The error function of the square 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 Original High Rise Stove Pipe obtained mechanisms are sound and usable.