Optimal Synthesis of Adjustable Linkages for Precise Continuous Path Generation Using the Optimal Link Length Adjustment
Conventional nonadjustable four-bar linkages can only generate the desired continuous paths approximately. With one link length adjustment, the whole desired continuous path can be generated precisely. In this paper, the length of the driven side link or coupler is adjusted to generate the desired continuous paths precisely. The linkage feasibility conditions and path generation flexibilities of the adjustable four-bar linkages are analyzed. The optimal synthesis model of adjustable four-bar linkages is established based on the required optimal link length adjustment when the desired continuous path is precisely generated. The global optimal solution is searched by a real-valued genetic algorithm in which the involved constraints are handled using the function penalty method. The effectiveness of the optimal synthesis approach proposed in the paper is verified by the demonstrated examples.