Abstract
In this paper, a novel analytical approach is presented to solve function generation synthesis problems for planar four-bar linkages with no limitations on the number of precision points. Firstly, the output rotation-angle function is formulated according to the Fourier series components of the input angle, and is substituted into a vector loop equation. Then, the relationship between the design parameters of the linkage and the Fourier coefficients of the output function is obtained. On the basis of this, the new design equations are established. Finally, a cubic polynomial equation is obtained by dialytic elimination. Three non-trivial solutions for the new design equations are ultimately obtained analytically. Three examples are provided to verify the effectiveness of the proposed technique. As a result, a general formula is derived for calculation of the design parameters of a planar four-bar linkage using the Fourier coefficients of the prescribed function.
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