This paper presents a synthesis method for the Stephenson III six-bar linkage that combines the direct solution of the synthesis equations with an optimization strategy to achieve increased performance for path generation. The path synthesis equations for a six-bar linkage can reach as many as 15 points on a curve; however, the degree of the polynomial system is 1046. In order to increase the number of accuracy points and decrease the complexity of the synthesis equations, a new formulation is used that combines 11 point synthesis with optimization techniques to obtain a six-bar linkage that minimizes the distance to 60 accuracy points. This homotopy directed optimization technique is demonstrated by obtaining a Stephenson III six-bar linkage that achieves a specified gait trajectory.
This paper uses path synthesis techniques to design four-bar linkage modules to constrain the movement of a 3R chain. The result is a 10-bar linkage. The goal is to develop a design procedure for a robotic system that guides the human leg during the walking gait cycle. A 3R chain is designed to match the dimensions of a human leg and the two four-bar linkages are synthesized using 9 point path synthesis to constrain the trajectory of the ankle and the toe. Precision points are derived from a basis spline equation. A numerical example is given using data collected from a motion capture system.
This paper presents a linkage system designed to guide a natural ankle trajectory with the corresponding foot orientation. A six-bar linkage was designed to coordinate the joint angles of an RR chain (R denotes a revolute or hinged joint) that models the leg to achieve the desired ankle trajectory. The design is shown to be adjustable to meet a range of trajectories obtained in an individual's normal gait. Control of the foot position is obtained using a cam-driven parallel chain that has the same input as the six-bar linkage. The result is a one degree of freedom system that guides a natural walking movement of the leg and foot. A solid model of the complete device is presented.
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