Articles | Volume 10, issue 1
https://doi.org/10.5194/ms-10-309-2019
https://doi.org/10.5194/ms-10-309-2019
Research article
 | 
25 Jun 2019
Research article |  | 25 Jun 2019

Computer-aided synthesis of spherical and planar 4R linkages for four specified orientations

Guangming Wang, Hao Zhang, Xiaoyu Li, Jiabo Wang, Xiaohui Zhang, and Guoqiang Fan

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Cited articles

Baskar, A. and Bandyopadhyay, S.: A homotopy-based method for the synthesis of defect-free mechanisms satisfying secondary design considerations, Mech. Mach. Theory, 133, 395–416, https://doi.org/10.1016/j.mechmachtheory.2018.12.002, 2019a. 
Baskar, A. and Bandyopadhyay, S.: An algorithm to compute the finite roots of large systems of polynomial equations arising in kinematic synthesis, Mech. Mach. Theory, 133, 493–513, https://doi.org/10.1016/j.mechmachtheory.2018.12.004, 2019b. 
Bai, S.: Geometric analysis of coupler-link mobility and circuits for planar four-bar linkages, Mech. Mach. Theory, 118, 53–64, https://doi.org/10.1016/j.mechmachtheory.2017.07.019, 2017. 
Chanekar, P. V., Fenelon, M. A. A., and Ghosal, A.: Synthesis of adjustable spherical four-link mechanisms for approximate multi-path generation, Mech. Mach. Theory, 70, 538–552, https://doi.org/10.1016/j.mechmachtheory.2013.08.009, 2013. 
Erdman, A. G. and Loftness P. E.: Synthesis of linkages for cataract surgery: storage, folding, and delivery of replacement intraocular lenses(IOLs), Mech. Mach. Theory, 40, 337–351, https://doi.org/10.1016/j.mechmachtheory.2004.07.006, 2005. 
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Short summary
We sometimes meet the problem of linkage synthesis for 4 specified orientations. For example, we need to design an automobile seat based on spherical 4R linkage to move the driver to the ground. According to the traditional Burmester theory, most of the linkage solutions have motion defects, which lead to low computational efficiency. In this paper, a program package was developed under Matlab, which can quickly locate the feasible linkage solution under the guidance of solutions map.