Approximate Synthesis of Plane Four-Bar Mechanism for Curve Generation

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In this report, an analytical method is presented for the synthesis of a plane four-bar mechanism to generate approximately a desired curve. This method produces such a curve generator that the coupler point may pass through precision points on the desired curve in the stationary coordinate system and the higher order differential coefficients of the coupler point coordinates with respect to an input variable may coincide with the ones of the desired curve at each precision point. Moreover, a numerical procedure is worked out for evaluating the difference between a desired curve and a generated curve.