An approximate synthesis method is pre- sented that takes a given set of n desired poses of the cou- pler of a four-bar planar mechanism and finds the “best” mechanism that can achieve them. This is accomplished by solving an equivalent unconstrained non-linear minimiza- tion problem. The hyperboloids of one sheet or hyperbolic paraboloids that minimize the distance between the given n poses in the kinematic mapping image space and n cor- responding points that belong to the quadric surfaces, rep- resent the “best” mechanism that can achieve the desired poses. The procedure is tested successfully on an RRRR mechanism.

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Conference 13th World Congress in Mechanism and Machine Science, Guanajuato, Mexico
Citation
Hayes, M.J.D, & Rusu, S. Radacina. (2011). Quadric Surface Fitting Applications to Approximate Dimensional Synthesis. Presented at the 13th World Congress in Mechanism and Machine Science, Guanajuato, Mexico.