Abstract. In this paper, we present a solution-region-based
synthesis approach for selecting optimal four-bar linkages with a
Ball–Burmester point. We discuss both general and special cases of the
Burmester point that coincide with the Ball point at the pole of the
inflection circle. Given the coordinates of one fixed joint, any point on
the target's straight line, and the direction of this straight line, we can
synthesize an infinite number of mechanisms using a coupler curve with
five-point contacts with its tangent by adopting the proposed approach. Each
initial parameter corresponds to three side links that can generate three
four-bar mechanisms. We generate different mechanism property charts by
developing mechanism software that enables users to intuitively identify
relevant linkage information and select the optimal linkage. This novel
approach is a visualized analytical method for synthesizing and selecting
optimal four-bar linkages with one Ball–Burmester point on its coupler
curve.
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