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.
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August 2018
Research-Article
Geometric Method of Spatial Linkages Synthesis for Function Generation With Three Finite Positions
Song Lin,
Song Lin
Sino-German College for Postgraduate Studies,
Tongji University,
Shanghai 201804, China
e-mail: slin@tongji.edu.cn
Tongji University,
Shanghai 201804, China
e-mail: slin@tongji.edu.cn
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Jingshuai Liu,
Jingshuai Liu
School of Mechanical Engineering,
Tongji University,
Shanghai 201804, China
e-mail: 1210295@tongji.edu.cn
Tongji University,
Shanghai 201804, China
e-mail: 1210295@tongji.edu.cn
Search for other works by this author on:
Yu Zhang
Yu Zhang
Search for other works by this author on:
Song Lin
Sino-German College for Postgraduate Studies,
Tongji University,
Shanghai 201804, China
e-mail: slin@tongji.edu.cn
Tongji University,
Shanghai 201804, China
e-mail: slin@tongji.edu.cn
Hanchao Wang
Jingshuai Liu
School of Mechanical Engineering,
Tongji University,
Shanghai 201804, China
e-mail: 1210295@tongji.edu.cn
Tongji University,
Shanghai 201804, China
e-mail: 1210295@tongji.edu.cn
Yu Zhang
1Corresponding author.
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.
J. Mech. Des. Aug 2018, 140(8): 082303 (11 pages)
Published Online: June 1, 2018
Article history
Received:
November 23, 2017
Revised:
April 19, 2018
Citation
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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