Abstract
This paper presents a simple and effective method to solve the position of higher-class Assur groups by means of virtual variable searching. It transforms the higher-class Assur groups into a constraint link, Class II Assur group(s), and virtual driving link(s), defined by the virtual variable. The constraint link is reassembled by one-dimensional searching of the virtual variable, and the potential solutions of the position of the higher-class Assur group are achieved with rapid mathematic convergence. Detailed criteria are set up for complicated higher-class Assur groups, including how to select the virtual driving link and constraint Link, and how to decide the solving sequence of converted Class II Assur groups. A versatile visual program has been developed to simulate higher-class planar mechanisms. Finally, an example of the feeding mechanism of a multifunction domestic sewing machine demonstrates the new method.
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Zhang, Q., Zou, H. & Guo, W. Position analysis of higher-class Assur groups by virtual variable searching and its application in a multifunction domestic sewing machine. Int J Adv Manuf Technol 28, 602–609 (2006). https://doi.org/10.1007/s00170-004-2379-x
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DOI: https://doi.org/10.1007/s00170-004-2379-x