It is shown how to determine those points, in a system under planar motion, which have trajectories which over a given range best approximate circles and straight lines. These points are best approximations in the sense of having a minimum error-norm. In this work a general norm is used which results in an approximation theory which includes the least-square and mini-max approximations as special cases. Several special motions are considered in detail, and some applications to linkage design are given.
A General Approximation Theory for Mechanism Synthesis
K. C. Gupta,
K. C. Gupta
Department of Materials Engineering, University of Illinois, Chicago, Ill.
Department of Mechanical Engineering, Stanford University, Stanford, Calif.
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Gupta, K. C., and Roth, B. (June 1, 1975). "A General Approximation Theory for Mechanism Synthesis." ASME. J. Appl. Mech. June 1975; 42(2): 451–457. https://doi.org/10.1115/1.3423598
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