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This research presents a novel approach to the synthesis of planar four-bar mechanisms for rigid-body guidance by optimizing the location of the displacement poles. Traditional methods often rely on incompatible measures, leading to suboptimal solutions. In contrast, the proposed technique focuses solely on the displacement poles, which can be described by their location and can be used to define a bi-invariant metric, resulting in a robust optimization process. Moreover, the method reduces the optimization size by utilizing a technique that does not require the entire set of displacement poles. The effectiveness of the approach is illustrated through several examples and compared to established methods. The proposed method has the potential to reformulate and simplify approximate motion synthesis problems for low DOF machines, such as metamachines, by using the planar four-bar as an approximate solution.
Andrew Murray, Dave Myszka
Primary Advisor's Department
Mechanical and Aerospace Engineering
Stander Symposium, School of Engineering
Institutional Learning Goals
Scholarship; Practical Wisdom
"Approximate Motion Synthesis of Four-Bar Linkages Using Poles: A Bi-Invariant Approach" (2023). Stander Symposium Projects. 3121.