Geometric method of spatial linkages synthesis for function generation with three finite positions

[+] Author and Article Information
Song Lin

Sino-German College for Postgraduate Studies, Tongji University, Shanghai 201804, China

Hanchao Wang

School of Mechanical Engineering, Tongji University, Shanghai 201804, China

Jingshuai Liu

School of Mechanical Engineering, Tongji University, Shanghai 201804, China

Yu Zhang

School of Mechanical Engineering, Tongji University, Shanghai 201804, China

1Corresponding author.

ASME doi:10.1115/1.4040171 History: Received November 23, 2017; Revised April 19, 2018


This paper presents a geometric method with unified standard synthesis process for dimension synthesis of spatial linkages. The synthesis method utilizes the mapping relationship between spatial kinematic geometric model of geometric elements and two-plane projection system to transform the problem of spatial geometry into the problem of plane geometry. Then, using the projection system's transformation can simplify the synthesis process of mechanisms. Based on these finding, a geometric process to synthesis of spatial linkage for rigid body guidance with three positions is built up. Additionally, kinematic inversion in two-plane projection system is used to realize the transformation of the problem of function generation to rigid body guidance. On the basis of those theoretical results, the dimension synthesis of spatial linkages with three finite positions is completed. Finally, RSSR mechanism and RSSP mechanism are offered to illustrate the application of this method.

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