This paper considers the relationship between the three-position function-generation problem and the solution space for planar four-bar mechanisms. The two infinities of solutions possible are mapped in a plane to determine the locations where particular types of mechanisms occur. It is possible to generate a contour in the mapping plane which joins together all solutions which possess a common characteristic in regard to their link lengths. This same contour can be displayed in the solution space to ascertain the overall characteristics of potential solutions to the design problem. A numerical example is used for illustrative purposes, but the results can be applied to any three-position function-generation problem. © 1989 by ASME.
C. R. Barker and P. L. Tso, "Characteristic Surfaces For Three-position Function Generation With Planar Four-bar Mechanisms," Journal of Mechanical Design, Transactions of the ASME, vol. 111, no. 1, pp. 104 - 109, American Society of Mechanical Engineers, Jan 1989.
The definitive version is available at https://doi.org/10.1115/1.3258952
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01 Jan 1989