Abstract
Abstract. According to the burmester theory, an infinite number of
spherical or planar 4R linkages for a specific four-orientation task can be
synthesized, but most of the linkage solutions calculated by this method are
invalid because of motion defect, poor performance and others. In order to
improve the synthesis efficiency, a program package based on Matlab is developed
to find a satisfied linkage solution automatically and quickly. Firstly, the
calculation on circle points and the center points based on the burmester
theory in spherical problems is introduced. Secondly, the calculation
methods of linkage defect discrimination, linkage type classification,
linkage performance evaluation and solutions visualization based on the
theory of spherical trigonometry are presented respectively. Thirdly, the
synthesis calculation of program package is extended to the planar 4R
linkage based on the theory of planar analytic geometry. Finally, the
examples of the spherical synthesis problem and the planar synthesis problem
based on solutions map are introduced to test the program package, the
result proves this program package is effective and flexible.
Subject
Industrial and Manufacturing Engineering,Fluid Flow and Transfer Processes,Mechanical Engineering,Mechanics of Materials,Civil and Structural Engineering,Control and Systems Engineering
Cited by
8 articles.
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