This paper presents a geometric method as a unified synthesis process of function generation for spatial linkages. The synthesis method utilizes the mapping relationship between spatial kinematic geometric model and two-plane projection system to transform the problem from spatial geometry to plane geometry. In this way, the synthesis process of mechanisms can be simplified through the corresponding transformation. Afterward, the line-guidance model is built up. Combining the kinematic inversion in two-plane projection system, this model can be used to realize the spatial linkages synthesis for function generation with three finite positions. Finally, revolute–sphere–sphere–revolute (RSSR) and revolute–sphere–sphere–prism (RSSP) mechanisms are offered to illustrate the application of this method.
Geometric Method of Spatial Linkages Synthesis for Function Generation With Three Finite Positions
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received November 23, 2017; final manuscript received April 19, 2018; published online June 1, 2018. Assoc. Editor: Ettore Pennestri.
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Lin, S., Wang, H., Liu, J., and Zhang, Y. (June 1, 2018). "Geometric Method of Spatial Linkages Synthesis for Function Generation With Three Finite Positions." ASME. J. Mech. Des. August 2018; 140(8): 082303. https://doi.org/10.1115/1.4040171
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