Exact Synthesis of Cognate Linkages with Algebraic Coupler Curves

Shaoping Bai

《Proceedings of the 14th IFToMM World Congress》 14th-1 (2015/10) Pp. 210-216

https://doi.org/10.6567/IFToMM.14TH.WC.OS2.011

並列摘要

It is known from the Roberts-Chebyshev the- orem that multiple cognate linkages can generate the same coupler curve. There are three cognate linkages for 4R mechanisms and two for RRRP mechanisms. However, the generation of cognate linkages from coupler curves re- mains as a problem unsolved. In this paper, a new method of coupler curve synthesis is developed, in which a de- termined system of coupler-curve coefficient (C^3) equa- tions is derived and used for finding exact solutions to the coupler-curve synthesis of both 4R and RRRP linkages. An approach of equation solving by combining numerical and graphical techniques is introduced and applied to the coupler-curve synthesis, which is able to find simultane- ously all the cognate linkages. Examples are included to demonstrate the new method.

並列關鍵字

Four-bar linkage synthesis ； coupler-curve coefficient (C^3) equation ； exact coupler-curve synthesis ； Roberts-Chebyshev the- orem ； cognate linkages