Algebraic multiple-position theories in kinematic synthesis are classified in a manner which also suggests various extensions of classical circular theory. In the case of infinitesimally separated positions, parabolic, elliptic, hyperbolic, and general conic-section theories are developed. The results, which are generally applicable, are illustrated with reference to the synthesis of cycloidal motions involving higher-order path generation.
Higher-Order Plane Motion Theories in Kinematic Synthesis
G. N. Sandor
Rensselaer Polytechnic Institute, Troy, N. Y.
Columbia University, New York, N. Y.
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Sandor, G. N., and Freudenstein, F. (May 1, 1967). "Higher-Order Plane Motion Theories in Kinematic Synthesis." ASME. J. Eng. Ind. May 1967; 89(2): 223–230. https://doi.org/10.1115/1.3610032
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