Abstract

Symmetric overconstrained frameworks are extensively used as deployable structures and reconfigurable mechanisms. Owing to geometric singularity and redundant kinematic constraints, these structures are likely to be kinematically indeterminate while they are statically indeterminate. Effective methods capable of identifying the internal mechanisms and mobility of an overconstrained structure are preferred. This study is aimed at a symmetry method for studying the kinematic indeterminacy and folding behavior of a class of symmetric overconstrained frameworks, which are assembled by link members and revolute joints. Numerical results show a considerable increase in the accuracy and efficiency of kinematic analysis on such structures.

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