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- W1270008058 abstract "The coupler-curve synthesis of four-bar linkages is a fundamental problem in kinematics. According to the Roberts–Chebyshev theorem, three cognate linkages can generate the same coupler curve. While the problem of linkage synthesis for coupler-curve generation is determined, it has been regarded as overdetermined, given that the number of coefficients in an algebraic coupler-curve equation exceeds that of linkage parameters available. In this paper, we develop a new formulation of the synthesis problem, whereby the linkage parameters are determined “exactly”, within unavoidable roundoff error. A system of coupler-curve coefficient equations is derived, with as many equations as unknowns. The system is thus determined, which leads to exact solutions for the linkage parameters. A method of linkage synthesis from a known coupler-curve equation is further developed to find the three cognate mechanisms predicted by the Roberts–Chebyshev theorem. An example is included to demonstrate the method." @default.
- W1270008058 created "2016-06-24" @default.
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- W1270008058 date "2015-12-01" @default.
- W1270008058 modified "2023-10-16" @default.
- W1270008058 title "Coupler-curve synthesis of four-bar linkages via a novel formulation" @default.
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- W1270008058 doi "https://doi.org/10.1016/j.mechmachtheory.2015.08.010" @default.
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